Loop-and-allied QG bibliography

[marcus]

http://arxiv.org/abs/gr-qc/0609057
Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
Martin Bojowald, Hector H. Hernández, Mikhail Kagan, Parampreet Singh, Aureliano Skirzewski
24 pages, 1 figure
IGPG--06/9--7

"Cosmological perturbation equations are derived systematically in a canonical scheme based on Ashtekar variables. A comparison with the covariant derivation and various subtleties in the calculation and choice of gauges are pointed out. Nevertheless, the treatment is more systematic when correction terms of canonical quantum gravity are to be included. This is done throughout the paper for one characteristic modification expected from loop quantum gravity."

a replacement by the final published version:
http://arxiv.org/abs/gr-qc/0504147
Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
Jerzy Lewandowski, Andrzej Okolow, Hanno Sahlmann, Thomas Thiemann
38 pages, one figure. v2: Minor changes, final version, as published in CMP
AEI-2005-093, CGPG-04/5-3
Comm. Math. Phys., Vol. 267 No. 3 (2006), 703-733

"Loop quantum gravity is an approach to quantum gravity that starts from the Hamiltonian formulation in terms of a connection and its canonical conjugate. Quantization proceeds in the spirit of Dirac: First one defines an algebra of basic kinematical observables and represents it through operators on a suitable Hilbert space. In a second step, one implements the constraints. The main result of the paper concerns the representation theory of the kinematical algebra: We show that there is only one cyclic representation invariant under spatial diffeomorphisms.
While this result is particularly important for loop quantum gravity, we are rather general: The precise definition of the abstract *-algebra of the basic kinematical observables we give could be used for any theory in which the configuration variable is a connection with a compact structure group. The variables are constructed from the holonomy map and from the fluxes of the momentum conjugate to the connection. The uniqueness result is relevant for any such theory invariant under spatial diffeomorphisms or being a part of a diffeomorphism invariant theory."

 

[marcus]

thanks to arivero for prompting me to add this to the bibliography thread

http://arxiv.org/abs/hep-th/0609140
Noncommutative geometry, topology and the standard model vacuum
R. A. D. Martins
24 pages

"As a ramification of a motivational discussion for previous joint work, in which equations of motion for the finite spectral action of the Standard Model were derived, we provide a new analysis of the results of the calculations herein, switching from the perspective of Spectral triple to that of Fredholm module and thus from the analogy with Riemannian geometry to the pre-metrical structure of the Noncommutative geometry. Using a suggested Noncommutative version of Morse theory together with algebraic K-theory to analyse the vacuum solutions, the first two summands of the algebra for the finite triple of the Standard Model arise up to Morita equivalence. We also demonstrate a new vacuum solution whose features are compatible with the physical mass matrix."

Arivero notes that, as mentioned in the abstract, this developed out of joint work with John Barrett.

 

[marcus]

http://arxiv.org/abs/gr-qc/0609108
Prolegomena to any future Quantum Gravity
John Stachel
26 pages

"I shall discuss some 'conditions of possibility' of a quantum theory of gravity, stressing the need for solutions to some of fundamental problems confronting any attempt to apply some method of quantization to the field equations of general relativity."

Stachel is a prominent expert in the history and philosophy of physics---and himself a physicist. There could be some interest in what he finds by taking a look at the basic conceptual circumstances and philosophical underpinning that would apply to any QG theory. I can't tell if this paper is likely to be helpful or not.
============

Carlo Rovelli is giving a seminar today (Tuesday 26 September) that will be available online:

http://relativity.phys.lsu.edu/ilqgs/

The slides are already posted
http://relativity.phys.lsu.edu/ilqgs/rovelli092606.pdf

The title of the talk is
Graviton propagator from loop quantum gravity

One good thing about this seminar series is that people from half a dozen different places in the world can ASK QUESTIONS.
Last week at the regular (Tuesday) time, Ashtekar gave one of these seminars. He was talking from Penn State and he got questions from various places and at one point he got a question that he wanted to refer to Carlo Rovelli, who was also "participating" in the seminar from Marseille and who was listening to the talk. and Rovelli answered---it came across very clear (his audio quality was even better than the seminar-average, maybe he had a better mike) so it was like having people from several QG centers present in the same room.

Another good thing is the policy to make the slides for the talk available a day or more in advance of the talk, so you can read the slides ahead of time and understand the talk better

The last slide of todays talk gives 3 conclusions

1. Low energy limit:
(One component of) the graviton propagator (or the Newton law) appears to be correct, to first order in lambda.
2. Barrett-Crane vertex:
...The BC vertex works.
3. Scattering amplitudes:
A technique to compute n-point functions within a background independent formalism exists.

These seminars are always supposed to occur at 9AM Central Time, which is 10 AM eastern and 6 AM pacific.
But I can never keep track of "daylight saving time" which makes an hour difference.
I think it means that they happen at 1:00 PM Greenwich.

In his talk, Rovelli says to be sure to hear next week's talk which will be by Simone Speziale on Spinfoam graviton propagator

 

[marcus]

http://arxiv.org/abs/hep-ph/0609274
The Standard Model: Alchemy and Astrology
Joseph D. Lykken
12 pages, 0 figures, review talk from "Physics at LHC", Krakow, 3-8 July 2006
Report-no: FERMILAB-CONF-06-347-T

"An brief unconventional review of Standard Model physics, containing no plots."http://arxiv.org/abs/gr-qc/0609122
Black hole entropy quantization
Alejandro Corichi, Jacobo Diaz-Polo, Enrique Fernandez-Borja
4 pages, 4 figures

"Ever since the pioneer works of Bekenstein and Hawking, black hole entropy has been known to have a quantum origin. Furthermore, it has long been argued by Bekenstein that entropy should be quantized in discrete (equidistant) steps given its identification with horizon area in (semi-)classical general relativity and the properties of area as an adiabatic invariant. This lead to the suggestion that black hole area should also be quantized in equidistant steps to account for the discrete black hole entropy. Here we shall show that loop quantum gravity, in which area is not quantized in equidistant steps can nevertheless be consistent with Bekenstein's equidistant entropy proposal in a subtle way. For that we perform a detailed analysis of the number of microstates compatible with a given area and show that an observed oscillatory behavior in the entropy-area relation, when properly interpreted yields an entropy that has discrete, equidistant values that are consistent with the Bekenstein framework."http://arxiv.org/abs/hep-th/0609177
Analytic Results in 2D Causal Dynamical Triangulations: A Review
Stefan Zohren
66 pages, 17 figures. Based on the author's thesis for the Master of Science in Theoretical Physics, supervised by R. Loll and co-supervised by J. Ambjorn, J. Jersak, July 2005

"We describe the motivation behind the recent formulation of a nonperturbative path integral for Lorentzian quantum gravity defined through Causal Dynamical Triangulations (CDT). In the case of two dimensions the model is analytically solvable, leading to a genuine continuum theory of quantum gravity whose ground state describes a two-dimensional "universe" completely governed by quantum fluctuations. One observes that two-dimensional Lorentzian and Euclidean quantum gravity are distinct. In the second part of the review we address the question of how to incorporate a sum over space-time topologies in the gravitational path integral. It is shown that, provided suitable causality restrictions are imposed on the path integral histories, there exists a well-defined nonperturbative gravitational path integral including an explicit sum over topologies in the setting of CDT. A complete analytical solution of the quantum continuum dynamics is obtained uniquely by means of a double scaling limit. We show that in the continuum limit there is a finite density of infinitesimal wormholes. Remarkably, the presence of wormholes leads to a decrease in the effective cosmological constant, reminiscent of the suppression mechanism considered by Coleman and others in the context of a Euclidean path integral formulation of four-dimensional quantum gravity in the continuum. In the last part of the review universality and certain generalizations of the original model are discussed, providing additional evidence that CDT define a genuine continuum theory of two-dimensional Lorentzian quantum gravity."

http://arxiv.org/abs/gr-qc/0609129
Rainbow universe
Yi Ling
5 pages

"The formalism of rainbow gravity is studied in a cosmological setting. We consider the very early universe which is radiation dominated. A novel treatment in our paper is to look for an ``averaged'' cosmological metric probed by radiation particles themselves. Taking their cosmological evolution into account, we derive the modified Friedmann-Robertson-Walker(FRW) equations which is a generalization of the solution presented by Magueijo and Smolin. Based on this phenomenological cosmological model we argue that the spacetime curvature has an upper bound such that the cosmological singularity is absent. These modified $FRW$ equations can be treated as effective equations in the semi-classical framework of quantum gravity and its analogy with the one recently proposed in loop quantum cosmology is also discussed."

http://arxiv.org/abs/gr-qc/0609130
The kinematics of particles moving in rainbow spacetime
Yi Ling, Song He, Hongbao Zhang
5 pages

"The kinematics of particles moving in rainbow spacetime is studied in this paper. In particular the geodesics of a massive particle in rainbow flat spacetime is obtained when the semi-classical effect of its own energy on the background is taken into account. We show that in general the trajectory of a freely falling particle remains unchanged which is still a straight line as in the flat spacetime. The implication to the Unruh effect in rainbow flat spacetime is also discussed."

http://arxiv.org/abs/hep-th/0607228
Renormalization Group Running of Newton's G: The Static Isotropic Case
Herbert W. Hamber, Ruth M. Williams
61 pages, 3 figures
CERN-PH-TH/2006-145

"Corrections are computed to the classical static isotropic solution of general relativity, arising from non-perturbative quantum gravity effects. A slow rise of the effective gravitational coupling with distance is shown to involve a genuinely non-perturbative scale, closely connected with the gravitational vacuum condensate, and thereby, it is argued, related to the observed effective cosmological constant. Several analogies between the proposed vacuum condensate picture of quantum gravitation, and non-perturbative aspects of vacuum condensation in strongly coupled non-abelian gauge theories are developed. In contrast to phenomenological approaches, the underlying functional integral formulation of the theory severely constrains possible scenarios for the renormalization group evolution of couplings. The expected running of Newton's constant $G$ is compared to known vacuum polarization induced effects in QED and QCD. The general analysis is then extended to a set of covariant non-local effective field equations, intended to incorporate the full scale dependence of $G$, and examined in the case of the static isotropic metric. The existence of vacuum solutions to the effective field equations in general severely restricts the possible values of the scaling exponent $\nu$."

 

[marcus]

http://arxiv.org/abs/gr-qc/0610018
The Asymptotic Safety Scenario in Quantum Gravity -- An Introduction
M. Niedermaier
72 pages, 1 figure. Introduction to the subject based on several talks and conference contributions. An elaboration on the evidence (c) and (d) (see abstract) can be found in a forthcoming `Living Reviews in Relativity' article with M. Reuter

"The asymptotic safety scenario in quantum gravity is reviewed, according to which a renormalizable quantum theory of the gravitational field is feasible which reconciles asymptotically safe couplings with unitarity.All presently known evidence is surveyed: (a) from the 2+\epsilon expansion,(b) from renormalizable higher derivative gravity theories and a `large N' expansion in the number of matter fields, (c) from the 2-Killing vector reduction, and (d) from truncated flow equations for the effective average action. Special emphasis is given to the role of perturbation theory as a guide to `asymptotic safety'. Further it is argued that as a consequence of the scenario the selfinteractions appear two-dimensional in the extreme ultraviolet. Two appendices discuss the distinct roles of the ultraviolet renormalization in perturbation theory and in the flow equation formalism."

Niedermeyer is a collaborator of Martin Reuter.

The next paper (orig. 2004) was significantly expanded and improved for resubmission January 2006. Because it did not show up as a new paper then, I did not notice it. But actually it is highly relevant current work.

http://arxiv.org/abs/math-ph/0407006
Representations of the Weyl Algebra in Quantum Geometry
Christian Fleischhack
67 pages, 1 figure. Changes v1 to v2: 1) Due to inconsistencies (paths vs. edges), detected by Garth Warner in v1: old Sect. 3.2 replaced by new Sects. 3.2 and 3.3, begin of Sect. 3.1 extended; proof of Lemma 3.27, Sect. 3.6, Acknowledgements updated; overall results, however, not affected; 2) comparison with paper by Lewandowski, Okolow, Sahlmann, Thiemann added (pp. 63--65); 3) Footnote 2 and Refs. [12], [21], [23] added; Footnote 9 corrected; 4) Begin of Sect. 6.3 slightly modified

"The Weyl algebra A of continuous functions and exponentiated fluxes, introduced by Ashtekar, Lewandowski and others, in quantum geometry is studied. It is shown that, in the piecewise analytic category, every regular representation of A having a cyclic and diffeomorphism invariant vector, is already unitarily equivalent to the fundamental representation. Additional assumptions concern the dimension of the underlying analytic manifold (at least three), the finite wide triangulizability of surfaces in it to be used for the fluxes and the naturality of the action of diffeomorphisms -- but neither any domain properties of the represented Weyl operators nor the requirement that the diffeomorphisms act by pull-backs. For this, the general behaviour of C*-algebras generated by continuous functions and pull-backs of homeomorphisms, as well as the properties of stratified analytic diffeomorphisms are studied. Additionally, the paper includes also a short and direct proof of the irreducibility of A."

There is an interesting CHART which compares Fleischhack's result with the "LOST" result of Lewandowski, Okolow, Sahlmann, and Theimann. They wrote up their results around the same time, Fleischhack maybe even a little earlier. (!) The similarities and slight differences are interesting. BOTH use stratified diffeomorphisms. It looks like we may need to add those to our familiar language of terminology.

http://arxiv.org/abs/gr-qc/0610017
Physical Diffeomorphisms in Loop Quantum Gravity
Tim Koslowski
25 pages, 2 figures
"We investigate the action of diffeomorphisms in the context of Hamiltonian Gravity. By considering how the diffeomorphism-invariant Hilbert space of Loop Quantum Gravity should be constructed, we formulate a physical principle by demanding, that the gauge-invariant Hilbert space is a completion of gauge- (i.e. diffeomorphism-)orbits of the classical (configuration) variables, explaining which extensions of the group of diffeomorphisms must be implemented in the quantum theory. It turns out, that these are at least a subgroup of the stratified analytic diffeomorphisms[/color]. Factoring these stratified diffeomorphisms out, we obtain that the orbits of graphs under this group are just labelled by their knot classes, which in turn form a countable set. Thus, using a physical argument, we construct a separable Hilbert space for diffeomorphism invariant Loop Quantum Gravity, that has a spin-knot basis, which is labelled by a countable set consisting of the combination of knot-classes and spin quantum numbers. It is important to notice, that this set of diffeomorphism leaves the set of piecewise analytic edges invariant, which ensures, that one can construct flux-operators and the associated Weyl-operators. A note on the implications for the treatment of the Gauss- and the Hamilton-constraint of Loop Quantum Gravity concludes our discussion."

I gather Koslowski is maybe 26, teaching astronomy at Würzburg, and just getting started in QG. No previous papers. He gave a Loop Quantum Cosmology talk at a conference last year. He was a participant at Loops '05, but did not give a paper. I hadnt heard of him before now. This first paper is outstanding quality (in my humble estimation). Besides English, Koslowski appears to be literate in latin and greek, and to have contributed to Wikipedia. associate of martin bojowald. watch this guy. oh yeah, stratified diffeomorphisms looks like they might be a real good idea to know about.
http://www.astro.uni-wuerzburg.de/~koslowski/

I think Vilenkin has failed to refute the conjecture called Cosmological Natural Selection (CNS) but there are several interesting things coming from this next paper:

http://arxiv.org/abs/hep-th/0610051
On cosmic natural selection
Alexander Vilenkin
4 pages

"The rate of black hole formation can be increased by increasing the value of the cosmological constant. This falsifies Smolin's conjecture that the values of all constants of nature are adjusted to maximize black hole production."

Instead of falsifying the CNS as Smolin would state it, Vilenkin seems to me to have modified the conjecture so it can be about black holes formed by quantum fluctuation rather than by the gravitational collaps of matter in the form of stars. Smolin's writings about the CNS have not been about black holes formed by quantum fluctuation---a somewhat hypothetical sort of object. As a reminder one form of CNS can be stated as the following challenge.

CONJECTURE: You cannot show a direction in which to change fundamental dimensionless constants such that the abundance of black holes formed by stellar collapse would initially increase. If it dips first and THEN rises, that doesn't count. (i.e. we are at a local max.)

 

[marcus]

http://arxiv.org/abs/gr-qc/0610023
Uniform discretizations: a new approach for the quantization of totally constrained systems
Miguel Campiglia, Cayetano Di Bartolo, Rodolfo Gambini, Jorge Pullin
17 pages

"We discuss in detail the uniform discretization approach to the quantization of totally constrained theories. This approach allows to construct the continuum theory of interest as a well defined, controlled, limit of well behaved discrete theories. We work out several finite dimensional examples that exhibit behaviors expected to be of importance in the quantization of gravity. We also work out the case of BF theory. At the time of quantization, one can take two points of view. The technique can be used to define, upon taking the continuum limit, the space of physical states of the continuum constrained theory of interest. In particular we show in models that it agrees with the group averaging procedure when the latter exists. The technique can also be used to compute, at the discrete level, conditional probabilities and the introduction of a relational time. Upon taking the continuum limit one can show that one reproduces results obtained by the use of evolving constants, and therefore recover all physical predictions of the continuum theory. This second point of view can also be used as a paradigm to deal with cases where the continuum limit does not exist. There one would have discrete theories that at least at certain scales reproduce the semiclassical properties of the theory of interest. In this way the approach can be viewed as a generalization of the Dirac quantization procedure that can handle situations where the latter fails."


http://arxiv.org/abs/hep-th/0610064
Scale Dependent Metric and Minimal Length in QEG
Martin Reuter, Jan-Markus Schwindt
10 pages, 1 figure, Talk given by M.R. at IRGAC 2006, Barcelona, Spain, July 11-15, 2006

"The possibility of a minimal physical length in quantum gravity is discussed within the asymptotic safety approach. Using a specific mathematical model for length measurements ("COM microscope") it is shown that the spacetimes of Quantum Einstein Gravity (QEG) based upon a special class of renormalization group trajectories are "fuzzy" in the sense that there is a minimal coordinate separation below which two points cannot be resolved."

http://arxiv.org/abs/gr-qc/0610026
Nieh-Yan Invariant and Fermions in Ashtekar-Barbero-Immirzi Formalism
Simone Mercuri
3 pages, proceedings of the XI Marcel Grossmann meeting on Relativistic Astrophysics, July 23-29, 2006, Berlin

"In order to consistently introduce an interaction between gravity and fermions in the Ashtekar-Barbero-Immirzi formalism a non-minimal term is necessary. The non-minimal term together with the Holst modification to the Hilbert-Palatini action reconstruct the Nieh-Yan invariant. The Immirzi parameter does not affect the classical dynamics, which is described by the Einstein-Cartan effective action. "

 

[marcus]

http://arxiv.org/abs/gr-qc/0610060
A perturbative approach to Dirac observables and their space-time algebra
Bianca Dittrich, Johannes Tambornino
23 pages

"We introduce a general approximation scheme in order to calculate gauge invariant observables in the canonical formulation of general relativity. Using this scheme we will show how the observables and the dynamics of field theories on a fixed background or equivalently the observables of the linearized theory can be understood as an approximation to the observables in full general relativity. Gauge invariant corrections can be calculated up to an arbitrary high order and we will explicitly calculate the first non--trivial correction. Furthermore we will make a first investigation into the Poisson algebra between observables corresponding to fields at different space--time points and consider the locality properties of the observables."

 

[marcus]

http://arxiv.org/abs/gr-qc/0610072
Hamiltonian and physical Hilbert space in polymer quantum mechanics
Alejandro Corichi, Tatjana Vukasinac, Jose A. Zapata
17 pages, 2 figures

"In this paper, a version of polymer quantum mechanics, which is inspired by loop quantum gravity, is considered and shown to be equivalent, in a precise sense, to the standard, experimentally tested, Schroedinger quantum mechanics. The kinematical cornerstone of our framework is the so called polymer representation of the Heisenberg-Weyl (H-W) algebra, which is the starting point of the construction. The dynamics is constructed as a continuum limit of effective theories characterized by a scale, and requires a renormalization of the inner product. The result is a physical Hilbert space in which the continuum Hamiltonian can be represented and that is unitarily equivalent to the Schroedinger representation of quantum mechanics. As a concrete implementation of our formalism, the simple harmonic oscillator is fully developed."

http://arxiv.org/abs/gr-qc/0610074
Gravitational collapse in loop quantum gravity
Leonardo Modesto
16 pages, 2 figures

"In this paper we study the gravitational collapse in loop quantum gravity. We consider the space-time region inside the Schwarzschild black hole event horizon and we divide this region in two parts, the first one where the matter (dust matter) is localized and the other (outside) where the metric is Kantowski-Sachs type. We calculate the state solving Hamiltonian constraint and we obtain a set of three difference equations that give a regular and natural evolution beyond the classical singularity point in "r=0" localized."

http://arxiv.org/abs/hep-th/0610164
Modified gravity as an alternative for Lambda-CDM cosmology
Shin'ichi Nojiri, Sergei D. Odintsov
9 pages, prepared for Special Issue IRGAC 2006, Barcelona

"The reconstruction scheme is developed for modified f(R) gravity with realistic matter (dark matter, baryons, radiation). Two versions of such theory are constructed: the first one describes the sequence of radiation and matter domination, decceleration-acceleration transition and acceleration era and the second one is reconstructed from exact Lambda-CDM cosmology. The asymptotic behaviour of first model at late times coincides with the theory containing positive and negative powers of curvature while second model approaches to General Relativity without singularity at zero curvature."

 

[marcus]

http://arxiv.org/abs/hep-th/0610193
Lessons from the LQG String
Robert C. Helling (IU Bremen)

"We give a non-technical description of the differences of quantisation of the bosonic string between the usual Fock-space approach and the treatment inspired by methods of loop quantum gravity termed the LCQ string. We point out the role of covariant states with continuous representations of the Weyl operators versus invariant states leading to discontinuous polymer representations. In the example of the harmonic oscillator we compare the optical absorption spectrum for the two quantisations and find that the question of distinguishability depends on the order in which limits are taken: For a fixed UV cut-off restricting the Hilbert space to a finite dimensional subspace the spectra can be made arbitrarily similar by an appropriate choice of state. However, if the states are chosen first, they differ at high frequencies."http://arxiv.org/abs/hep-th/0610194
Quantum Gravity as a Broken Symmetry Phase of a BF Theory
A. Mikovic
6 pages, talk given at the LOR2006 Symposium, Budapest, 22-24 June 2006

"We explain how General Relativity with a cosmological constant arises as a broken symmetry phase of a BF theory. In particular we show how to treat de Sitter and anti-de Sitter cases simultaneously. This is then used to formulate a quantization of General Relativity through a spin foam perturbation theory. We then briefly discuss how to calculate the effective action in this quantization procedure."

This paper fails to cite the prior work of Freidel Starodubtsev, to which it is rather similar.
http://arxiv.org/abs/hep-th/0501191
Quantum gravity in terms of topological observables
Laurent Freidel, Artem Starodubtsev
19 pages

"We recast the action principle of four dimensional General Relativity so that it becomes amenable for perturbation theory which doesn't break general covariance. The coupling constant becomes dimensionless (G_{Newton} \Lambda) and extremely small 10^{-120}. We give an expression for the generating functional of perturbation theory. We show that the partition function of quantum General Relativity can be expressed as an expectation value of a certain topologically invariant observable. This sets up a framework in which quantum gravity can be studied perturbatively using the techniques of topological quantum field theory."

 

[marcus]

http://arxiv.org/abs/hep-th/0610241
Gravity and the standard model with neutrino mixing
Ali H. Chamseddine, Alain Connes, Matilde Marcolli
71 pages, 7 figures

"We present an effective unified theory based on noncommutative geometry for the standard model with neutrino mixing, minimally coupled to gravity. The unification is based on the symplectic unitary group in Hilbert space and on the spectral action. It yields all the detailed structure of the standard model with several predictions at unification scale. Besides the familiar predictions for the gauge couplings as for GUT theories, it predicts the Higgs scattering parameter and the sum of the squares of Yukawa couplings. From these relations one can extract predictions at low energy, giving in particular a Higgs mass around 170 GeV and a top mass compatible with present experimental value. The geometric picture that emerges is that space-time is the product of an ordinary spin manifold (for which the theory would deliver Einstein gravity) by a finite noncommutative geometry F. The discrete space F is of KO-dimension 6 modulo 8 and of metric dimension 0, and accounts for all the intricacies of the standard model with its spontaneous symmetry breaking Higgs sector. "http://arxiv.org/abs/hep-th/0610231
Does string theory predict an open universe?
R. Buniy, S. Hsu, A. Zee
3 pages, 1 figure

"It has been claimed that the string landscape predicts an open universe, with negative curvature. The prediction is a consequence of a large number of metastable string vacua, and the properties of the Coleman--De Luccia instanton which describes vacuum tunneling. We examine the robustness of this claim, which is of particular importance since it seems to be string theory's sole claim to falsifiability. We find that, due to subleading tunneling processes, the prediction is sensitive to unknown properties of the landscape. Under plausible assumptions, universes like ours are as likely to be closed as open."

http://arxiv.org/abs/gr-qc/0610101
The emergence of AdS(2) from quantum fluctuations
J. Ambjorn, R. Janik, W. Westra, S. Zohren
4 pages. Talk given by W. Westra at the Eleventh Marcel Grossmann Meeting on General Relativity at the Freie U. Berlin, July 23 - 29, 2006

"We have shown how the quantization of two-dimensional quantum gravity with an action which contains only a positive cosmological constant and boundary cosmological constants leads to the emergence of a spacetime which can be described as a constant negative curvature spacetime with superimposed quantum fluctuations."

===============
http://arxiv.org/abs/hep-th/0610236
Analytic derivation of gluons and monopoles from SU(2) lattice Yang-Mills theory. I. BF Yang-Mills representation
Florian Conrady (Penn State U.)
24 pages, 2 figures
IGPG-06/10-4

"In this series of three papers, we generalize the derivation of photons and monopoles by Polyakov and Banks, Myerson and Kogut, to obtain gluon-monpole representations of SU(2) lattice gauge theory. The papers take three different representations as their starting points: the representation as a BF Yang-Mills theory, the spin foam representation and the plaquette representation. The subsequent derivations are based on semiclassical expansions.
In this first article, we cast d-dimensional SU(2) lattice gauge theory in the form of a lattice BF Yang-Mills theory. In several steps, the expectation value of a Wilson loop is transformed into a path integral over a gluon field and monopole-like degrees of freedom. The action contains the tree-level Coulomb interaction and a nonlinear coupling between gluons, monopoles and current.
At the end, we compare the results from all three papers."

http://arxiv.org/abs/hep-th/0610237
Analytic derivation of gluons and monopoles from SU(2) lattice Yang-Mills theory. II Spin foam representation

http://arxiv.org/abs/hep-th/0610238
Analytic derivation of gluons and monopoles from SU(2) lattice Yang-Mills theory. III Plaquette representation

 

[marcus]

http://arxiv.org/abs/gr-qc/0610140
Multiple-event probability in general-relativistic quantum mechanics
Frank Hellmann, Mauricio Mondragon, Alejandro Perez, Carlo Rovelli

"We discuss the definition of quantum probability in the context of 'timeless' general--relativistic quantum mechanics. In particular, we study the probability of sequences of events, or multi-event probability. In conventional quantum mechanics this can be obtained by means of the 'wave function collapse' algorithm. We first point out certain difficulties of some natural definitions of multi-event probability, including the conditional probability widely considered in the literature. We then observe that multi-event probability can be reduced to single-event probability, by taking into account the quantum nature of the measuring apparatus. In fact, by exploiting the von-Neumann freedom of moving the quantum classical boundary, one can always trade a sequence of non-commuting quantum measurements at different times, with an ensemble of simultaneous commuting measurements on the joint system+apparatus system. This observation permits a formulation of quantum theory based only on single-event probability, where the results of the 'wave function collapse' algorithm can nevertheless be recovered. The discussion bears also on the nature of the quantum collapse."

 

[marcus]

the title was too intriguing to pass up. Malcolm Fairbairn is at Perimeter Institute and Stockholm.

http://arxiv.org/abs/astro-ph/0610844
Shining light through the Sun
Malcolm Fairbairn, Timur Rashba, Sergey Troitsky
4 pages

"It is shown that the Sun can become partially transparent to high energy photons in the presence of a pseudo-scalar. In particular, if the axion interpretation of the PVLAS result were true then up to 2% of GeV energy gamma rays might pass through the Sun, while an even stronger effect is expected for some axion parameters. We discuss the possibilities of observing this effect. Present data are limited to the observation of the solar occultation of 3C279 by EGRET in 1991; 98% C.L. detection of a non-zero flux of gamma rays passing through the Sun is not yet conclusive. Future experiments, e.g. GLAST, are expected to have better sensitivity."

http://arxiv.org/abs/gr-qc/0611005
Problems and hopes in nonsymmetric gravity
Tomas Janssen, Tomislav Prokopec (Utrecht University)
9 pages, 1 figure. Based on two talks by the authors at the 2nd International Conference on Quantum Theories and Renormalization Group in Gravity and Cosmology (IRGAC) 2006, Barcelona
SPIN-06-37, ITP-UU-06-47

"We consider the linearized nonsymmetric theory of gravitation (NGT) within the background of an expanding universe and near a Schwarzschild mass. We show that the theory always develops instabilities unless the linearized nonsymmetric lagrangian reduces to a particular simple form. This form contains a gauge invariant kinetic term, a mass term for the antisymmetric metric-field and a coupling with the Ricci curvature scalar. This form cannot be obtained within NGT. Based on the linearized lagrangian we know to be stable, we consider the generation and evolution of quantum fluctuations of the antisymmetric gravitational field (B-field) from inflation up to the present day. We find that a B-field with a mass m ~ 0.03(H_I/10^(13)GeV)^4 eV is an excellent dark matter candidate."

http://arxiv.org/abs/gr-qc/0611004
Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing
Shahar Hod
4 pages

"From information theory and thermodynamic considerations a universal bound on the relaxation time $\tau$ of a perturbed system is inferred, \tau \geq \hbar/\pi T, where T is the system's temperature. We prove that black holes comply with the bound; in fact they actually saturate it. Thus, when judged by their relaxation properties, black holes are the most extreme objects in nature, having the maximum relaxation rate which is allowed by quantum theory."

http://arxiv.org/abs/hep-th/0611017
Phenomenological Quantum Gravity
S. Hossenfelder
To appear in Proceedings of SUSY06, the 14th International Conference on Supersymmetry and the Unification of Fundamental Interactions, UC Irvine, California, 12-17 June 2006

"Planck scale physics represents a future challenge, located between particle physics and general relativity. The Planck scale marks a threshold beyond which the old description of spacetime breaks down and conceptually new phenomena must appear. In the last years, increased efforts have been made to examine the phenomenology of quantum gravity, even if the full theory is still unknown."

 

[marcus]

http://arxiv.org/abs/hep-th/0611042
Hidden Quantum Gravity in 4d Feynman diagrams: Emergence of spin foams
Aristide Baratin, Laurent Freidel
28 pages, 7 figures

"We show how Feynman amplitudes of standard QFT on flat and homogeneous space can naturally be recast as the evaluation of observables for a specific spin foam model, which provides dynamics for the background geometry. We identify the symmetries of this Feynman graph spin foam model and give the gauge-fixing prescriptions. We also show that the gauge-fixed partition function is invariant under Pachner moves of the triangulation, and thus defines an invariant of four-dimensional manifolds. Finally, we investigate the algebraic structure of the model, and discuss its relation with a quantization of 4d gravity in the limit where the Newton constant goes to zero."

http://arxiv.org/abs/gr-qc/0611024
Phenomenology of Quantum Gravity and Finsler Geometry
Florian Girelli, Stefano Liberati, Lorenzo Sindoni
10 pages

A common feature of all Quantum Gravity (QG) phenomenology approaches is to consider a modification of the mass shell condition of the relativistic particle to take into account quantum gravitational effects. The framework for such approaches is therefore usually set up in the cotangent bundle (phase space). However it was recently proposed that this phenomenology could be associated with an energy dependent geometry that has been coined ``rainbow metric". We show here that the latter actually corresponds to a Finsler Geometry, the natural generalization of Riemannian Geometry. We provide in this way a new and rigorous framework to study the geometrical structure possibly arising in the semiclassical regime of QG. We further investigate the symmetries in this new context and discuss their role in alternative scenarios like Lorentz violation in emergent spacetimes or Deformed Special Relativity-like models."

 

[marcus]

JB taught us to look out for whatever Bob Coecke is up to. He often has quite strange ideas. Here is something new by him:

http://arxiv.org/abs/physics/0611064
Early Greek Thought and Perspectives for the Interpretation of Quantum Mechanics: Preliminaries to an Ontological Approach
K. Verelst, B. Coecke
18 pages
History of Physics

" It will be shown in this article that an ontological approach for some problems related to the interpretation of Quantum Mechanics could emerge from a re-evaluation of the main paradox of early Greek thought: the paradox of Being and non-Being, and the solutions presented to it by Plato and Aristotle. Plato's and Aristotle's systems are argued here to do on the ontological level essentially the same: to introduce stability in the world by introducing the notion of a separable, stable object, for which a principle of contradiction is valid: an object cannot be and not-be at the same place at the same time. After leaving Aristotelian metaphysics, early modern science had to cope with these problems: it did so by introducing 'space' as the seat of stability, and 'time' as the theater of motion. But the ontological structure present in this solution remained the same. Therefore the fundamental notion 'separable system', related to the notions observation and measurement, themselves related to the modern concepts of space and time, appears to be intrinsically problematic, because it is inextricably connected to classical logic on the ontological level. We see therefore the problems dealt with by quantum logic not as merely formal, and the problem of 'non-locality' as related to it, indicating the need to re-think the notions 'system', 'entity', as well as the implications of the operation 'measurement', which is seen here as an application of classical logic (including its ontological consequences) on the material world. "http://arxiv.org/abs/gr-qc/0611043
Black hole interior from loop quantum gravity
Leonardo Modesto
11 pages, 7 figures

"In this paper we calculate modifications to the Schwarzschild solution by using a semiclassical analysis of loop quantum black hole. We obtain a metric inside the event horizon that coincides with the Schwarzschild solution near the horizon but that is substantially different at the Planck scale. In particular we obtain a bounce of the two-sphere for a minimum value of the radius and that it is possible to have another event horizon close to the r=0 point."

Francesca was telling us about the DICE 2006 conference which took place in September at Piombino on the Tuscan coast. Here is one of the papers presented:

http://arxiv.org/abs/quant-ph/0611076
Classicality in Quantum Mechanics
Olaf Dreyer
Converence talk presented at DICE 2006 in Piombino. To be published in the Journal of Physics: Conference Series

"In this article we propose a solution to the measurement problem in quantum mechanics. We point out that the measurement problem can be traced to an a priori notion of classicality in the formulation of quantum mechanics. If this notion of classicality is dropped and instead classicality is defined in purely quantum mechanical terms the measurement problem can be avoided. We give such a definition of classicality. It identifies classicality as a property of large quantum system. We show how the probabilistic nature of quantum mechanics is a result of this notion of classicality. We also comment on what the implications of this view are for the search of a quantum theory of gravity."http://arxiv.org/abs/gr-qc/0611025
Current tests of alternative gravity theories: the Modified Newtonian Dynamics case
Jorge Paramos, Orfeu Bertolami
12 pages. Talk presented by one of us (O.B.) at the Fundamental Physics in Space section of the Comittee on Space Research, 36th. COSPAR Scientific Assembly, Beijing, China, 16-23 July, 2006

"We address the possibility of taking advantage of high accuracy gravitational space experiments in the Solar System and complementary cosmological tests to distinguish between the usual general relativistic theory from the alternative modified Newtonian dynamics paradigm."

Interest persists in modified gravity. Here is another sample:

http://arxiv.org/abs/hep-th/0611071
Modified gravity and its reconstruction from the universe expansion history
Shin'ichi Nojiri, Sergei D. Odintsov
24 pages, prepared for the proceedings of ERE 2006

"We develop the reconstruction program for the number of modified gravities: scalar-tensor theory, f(R), F(G) and string-inspired, scalar-Gauss-Bonnet gravity. The known (classical) universe expansion history is used for the explicit and successful reconstruction of some versions (of special form or with specific potentials) from all above modified gravities. It is demonstrated that cosmological sequence of matter dominance, decceleration-acceleration transition and acceleration era may always emerge as cosmological solutions of such theory. Moreover, the late-time dark energy FRW universe may have the approximate or exact LambdaCDM form consistent with three years WMAP data. The principal possibility to extend this reconstruction scheme to include the radiation dominated era and inflation is briefly mentioned. Finally, it is indicated how even modified gravity which does not describe the matter-dominated epoch may have such a solution before acceleration era at the price of the introduction of compensating dark energy."

 

[marcus]

http://arxiv.org/abs/gr-qc/0611073
Generalizing the Kodama State I: Construction
Andrew Randono
First part in two part series, 20 pages

The Kodama State is unique in being an exact solution to all the ordinary constraints of canonical quantum gravity that also has a well defined semi-classical interpretation as a quantum version of a classical spacetime, namely (anti)de Sitter space. However, the state is riddled with difficulties which can be tracked down to the complexification of the phase space necessary in its construction. This suggests a generalization of the state to real values of the Immirzi parameter. In this first part of a two paper series we show that one can generalize the state to real variables and the result is surprising in that it appears to open up an infinite class of physical states. We show that these states closely parallel the ordinary momentum eigenstates of non-relativistic quantum mechanics with the Levi-Civita curvature playing the role of the momentum. With this identification, the states inherit many of the familiar properties of the momentum eigenstates including delta-function normalizability. In the companion paper we will discuss the physical interpretation, CPT properties, and an interesting connection between the inner product and the Macdowell-Mansouri formulation of general relativity. "

http://arxiv.org/abs/gr-qc/0611074
Generalizing the Kodama State II: Properties and Physical Interpretation
Andrew Randono
Second paper in two part series. 18 pages

In this second part of a two paper series we discuss the properties and physical interpretation of the generalized Kodama states. We first show that the states are the three dimensional boundary degrees of freedom of two familiar 4-dimensional topological invariants: the second Chern class and the Euler class. Using this, we show that the states have the familiar interpretation as WKB states, in this case corresponding not only to de Sitter space, but also to first order perturbations therein. In an appropriate spatial topology, the de Sitter solution has pure Chern-Simons functional form, and is the unique state in the class that is identically diffeomorphism and SU(2) gauge invariant. The q-deformed loop transform of this state yields evidence of a cosmological horizon when the deformation parameter is a root of unity. We then discuss the behavior of the states under discrete symmetries, showing that the states violate P and T due to the presence of the Immirzi parameter, but they are CPT invariant. We conclude with an interesting connection between the physical inner product and the Macdowell Mansouri formulation of gravity."

http://arxiv.org/abs/gr-qc/0611075
Quantum Gravity and Matter: Counting Graphs on Causal Dynamical Triangulations
D. Benedetti, R. Loll
40 pages, 15 figures, 13 tables

"An outstanding challenge for models of non-perturbative quantum gravity is the consistent formulation and quantitative evaluation of physical phenomena in a regime where geometry and matter are strongly coupled. After developing appropriate technical tools, one is interested in measuring and classifying how the quantum fluctuations of geometry alter the behaviour of matter, compared with that on a fixed background geometry.
In the simplified context of two dimensions, we show how a method invented to analyze the critical behaviour of spin systems on flat lattices can be adapted to the fluctuating ensemble of curved spacetimes underlying the Causal Dynamical Triangulations (CDT) approach to quantum gravity. We develop a systematic counting of embedded graphs to evaluate the thermodynamic functions of the gravity-matter models in a high- and low-temperature expansion. For the case of the Ising model, we compute the series expansions for the magnetic susceptibility on CDT lattices and their duals up to orders 6 and 12, and analyze them by ratio method, Dlog Padé and differential approximants. Apart from providing evidence for a simplification of the model's analytic structure due to the dynamical nature of the geometry, the technique introduced can shed further light on criteria à la Harris and Luck for the influence of random geometry on the critical properties of matter systems.

http://arxiv.org/abs/gr-qc/0611080
A new proposal for group field theory I: the 3d case
James Ryan

"In this series of papers, we propose a new rendition of 3d and 4d state sum models based upon the group field theory (GFT) approach to non-perturbative quantum gravity. We will see that the group field theories investigated in the literature to date are, when judged from the position of quantum field theory, an unusual manifestation of quantum dynamics. They are one in which the Hadamard function for the field theory propagates a-causally the physical degrees of freedom of quantum gravity. This is fine if we wish to define a scalar product on the physical state space, but it is not what we generally think of as originating directly from a field theory. We propose a model in 3d more in line with standard quantum field theory, and therefore the field theory precipitates causal dynamics. Thereafter, we couple the model to point matter, and extract from the GFT the effective non-commutative field theory describing the matter dynamics on a quantum gravity background. We identify the symmetries of our new model and clarify their meaning in the GFT setting. We are aided in this process by identifying the category theory foundations of this GFT which, moreover, propel us towards a categorified version for the 4d case. "

 

[marcus]

Krasnov is at Nottingham, where fellow-poster fh has joined the QG group

http://arxiv.org/abs/hep-th/0611182
Renormalizable Non-Metric Quantum Gravity?
Kirill Krasnov
5 pages, no figures

"We argue that four-dimensional quantum gravity may be essentially renormalizable provided one relaxes the assumption of metricity of the theory. We work with Plebanski formulation of general relativity in which the metric (tetrad), the connection as well as the curvature are all independent variables and the usual relations among these quantities are only on-shell. One of the Euler-Lagrange equations of this theory guarantees its metricity. We show that quantum corrections generate a counterterm that destroys this metricity property, and that there are no other counterterms, at least at the one-loop level. There is a new coupling constant that controls the non-metric character of the theory. Its beta-function can be computed and is negative, which shows that the non-metricity becomes important in the infra red. The new IR-relevant term in the action is akin to a curvature dependent cosmological 'constant' and may provide a mechanism for naturally small 'dark energy'. "

http://arxiv.org/abs/astro-ph/0611504
Using globular clusters to test gravity in the weak acceleration regime: NGC 7099
Riccardo Scarpa, Gianni Marconi, Roberto Gilmozzi, Giovanni Carraro
Accepted for publication in A&A Letters. Four pages in total

"A test of Newton's law of gravity in the low acceleration regime using globular clusters is presented. New results for the core collapsed globular cluster NGC 7099 are given. The run of the gravitational potential as a function of distance is probed studying the velocity dispersion profile of the cluster, as derived from a set of 125 radial velocities with accuracy better than 1 km/s. The velocity dispersion profile is traced up to ~18 pc from the cluster center. The dispersion is found to be maximal at the center, then decrease until 10+-2 pc from the center, well inside the cluster tidal radius of 42 pc. After that the dispersion remains constant with average value 2.2+-0.3 km/s. Assuming for NGC 7099 a total V mag of M(V)=-7.43 mags and mass-to-light ratio M/L=1, the acceleration at 10 pc from the center is 1.1e-8 cm/s/s. Thus, the flattening of the velocity dispersion profile occurs for a value of the internal acceleration of gravity fully consistent with a_0=1.2e-8 cm/s/s observed in galaxies. This new result for NGC 7099 brings to 4 the clusters with velocity dispersion profile probing acceleration below a_0. All four have been found to have a flat dispersion profile at large radii where the acceleration is below a_0, mimicking qualitatively and quantitatively elliptical galaxies. Whether this indicates a failure of Newtonian dynamics in the low acceleration limit or some more conventional dynamical effect (e.g., tidal heating) is still unclear. However, the similarities emerging between very different globular clusters, as well as between globular clusters and elliptical galaxies seem to favor the first of these two possibilities. "These two Stanford people have a funny title---couldn't resist.

http://arxiv.org/abs/hep-th/0611183
O'KKLT
Renata Kallosh, Andrei Linde
12 pages, 4 figures
SU-ITP-2006-31

"We propose to combine the quantum corrected O'Raifeartaigh model, which has a dS minimum near the origin of the moduli space, with the KKLT model with an AdS minimum. The combined effective N=1 supergravity model, which we call O'KKLT, has a dS minimum with all moduli stabilized. Gravitino in the O'KKLT model tends to be light in the regime of validity of our approximations. We show how one can construct models with a light gravitino and a high barrier protecting vacuum stability during the cosmological evolution. "

 

[selfAdjoint]

These two Stanford people have a funny title---couldn't resist.

http://arxiv.org/abs/hep-th/0611183
O'KKLT

Years and years ago I bought O'Raifeartaigh's Group Structure of Gauge Theories at Christmas time, and in the flyleaf I wrote:

O'Raifeartaigh, O'Raifeartaigh
How helpful are thy pages
O'Raifeartaigh, O'Raifeartaigh
How helpful are thy pages,

Thou tellst us not just what you know
But challenge us with quiz also,

O'Raifeartaigh, O'Raifeartaigh
How helpful are thy pages

(Christmas 1988)

 

[marcus]

great guy
http://www.stp.dias.ie/Lochlainn/lochlainn.html
this affectionate one-page obit mentions that book in its concluding paragraph, chosing it to sum up the man

"In all his work, Lochlainn O'Raifeartaigh's love of physics, his interest in understanding fundamental problems clearly, and his ability to present results with precision and clarity shone through. He was an inspiring teacher for physics students in Dublin as well as abroad. His lectures on the Group Structure of Gauge Theories, published by Cambridge University Press, are very popular among students as well as researchers..."

I may have to take a look at that book.

your inscription is delightful

odious as it is to emend another's verse, it's hard to resist

in the interest of the English second person, and parallelism, I suggestThou tellst us not just what you know
But challengest with quiz also,

I particularly like the scansion which makes a stress fall on "not" in the middle of the first line of the couplet.

 

[marcus]

http://arxiv.org/abs/hep-th/0611197
Quantum Graphity
Tomasz Konopka, Fotini Markopoulou, Lee Smolin
14 pages, 3 figures

"We introduce a new model of background independent physics in which the degrees of freedom live on a complete graph and the physics is invariant under the permutations of all the points. We argue that the model has a low energy phase in which physics on a low dimensional lattice emerges and the permutation symmetry is broken to the translation group of that lattice. In the high temperature, or disordered, phase the permutation symmetry is respected and the average distance between degrees of freedom is small. This may serve as a tractable model for the emergence of classical geometry in background independent models of spacetime. We use this model to argue for a cosmological scenario in which the universe underwent a transition from the high to the low temperature phase, thus avoiding the horizon problem."

The next thing is something NASA called a press conference about last week. The technical article may give some additional details of interest.
http://arxiv.org/abs/astro-ph/0611572
New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
Adam G. Riess (JHU, STScI), Louis-Gregory Strolger (UWK), Stefano Casertano (STScI), Henry C. Ferguson (STScI), Bahram Mobasher (STScI), Ben Gold (JHU), Peter J. Challis (CfA), Alexei V. Filippenko (UCB), Saurabh Jha (UCB), Weidong Li (UCB), John Tonry (IfA), Ryan Foley (UCB), Robert P. Kirshner (CfA), Mark Dickinson (NOAO), Emily MacDonald (NOAO), Daniel Eisenstein (UofA), Mario Livio (STScI), Josh Younger (CfA), Chun Xu (STScI), Tomas Dahlen (STScI), Daniel Stern (JPL)
82 pages, 17 figures, 6 tables. Data also available at: this http URL Accepted, Astrophysical Journal vol. 656 for Feb 10, 2007 "We have discovered 21 new Type Ia supernovae (SNe Ia) with the Hubble Space Telescope (HST) and have used them to trace the history of cosmic expansion over the last 10 billion years. These objects, which include 13 spectroscopically confirmed SNe Ia at z > 1, were discovered during 14 epochs of reimaging of the GOODS fields North and South over two years with the Advanced Camera for Surveys on HST. Together with a recalibration of our previous HST-discovered SNe Ia, the full sample of 23 SNe Ia at z > 1 provides the highest-redshift sample known. Combined with previous SN Ia datasets, we measured H(z) at discrete, uncorrelated epochs, reducing the uncertainty of H(z>1) from 50% to under 20%, strengthening the evidence for a cosmic jerk--the transition from deceleration in the past to acceleration in the present. The unique leverage of the HST high-redshift SNe Ia provides the first meaningful constraint on the dark energy equation-of-state parameter at z >1.
The result remains consistent with a cosmological constant (w(z)=-1), and rules out rapidly evolving dark energy (dw/dz >>1). The defining property of dark energy, its negative pressure, appears to be present at z>1, in the epoch preceding acceleration, with ~98% confidence in our primary fit. Moreover, the z>1 sample-averaged spectral energy distribution is consistent with that of the typical SN Ia over the last 10 Gyr, indicating that any spectral evolution of the properties of SNe Ia with redshift is still below our detection threshold. "The next is listed in case some wish to follow the development of "anthropic predictions".

http://arxiv.org/abs/astro-ph/0611573
Anthropic predictions for vacuum energy and neutrino masses in the light of WMAP-3
Levon Pogosian, Alexander Vilenkin
11 pages, 6 figures

"Anthropic probability distributions for the cosmological constant and for the sum of neutrino masses are updated using the WMAP-3 data release. The new distribution for Lambda is in a better agreement with observation than the earlier one. The typicality of the observed value, defined as the combined probability of all values less likely than the observed, is no less than 22%. We discuss the dependence of our results on the simplifying assumptions used in deriving the distribution for Lambda and show that the agreement of the anthropic prediction with the data is rather robust. The distribution for the sum of the neutrino masses is peaked at 1 eV, suggesting degenerate masses, but a hierarchical mass pattern is still marginally allowed at a 2 sigma level."

Briefly noted:
http://arxiv.org/abs/math.AG/0611524
Langlands duality and G2 spectral curves
Nigel Hitchin

 

[Kea]

Briefly noted:
http://arxiv.org/abs/math.AG/0611524
Langlands duality and G2 spectral curves
Nigel Hitchin

Thanks for this reference, Marcus. It looks interesting.

 

[selfAdjoint]

odious as it is to emend another's verse, it's hard to resist

in the interest of the English second person, and parallelism, I suggest


Thou tellst us not just what you know
But challengest with quiz also,

I particularly like the scansion which makes a stress fall on "not" in the middle of the first line of the couplet.

You are absolutely right. My only excuse is that, as I dimly recall, I was a little squiffed at the time. BTW I had got the book out to check the verse and started to read it again. By comparison with books on Lie Groups and Algebras that I have studied since then, it is a marvel of clarity and kindnness toward the student. I most heartily recommend it!

 

[marcus]

http://arxiv.org/abs/gr-qc/0611112
Effective constraints of loop quantum gravity
Martin Bojowald, Hector Hernandez, Mikhail Kagan, Aureliano Skirzewski
44 pages, 6 figures
IGPG-06/11-4, AEI-2006-086

"Within a perturbative cosmological regime of loop quantum gravity corrections to effective constraints are computed. This takes into account all inhomogeneous degrees of freedom relevant for scalar metric modes around flat space and results in explicit expressions for modified coefficients and of higher order terms. It also illustrates the role of different scales determining the relative magnitude of corrections. Our results demonstrate that loop quantum gravity has the correct classical limit[/color], at least in its sector of cosmological perturbations around flat space, in the sense of perturbative effective theory."

http://arxiv.org/abs/astro-ph/0611685
Formation and Evolution of Structure in Loop Cosmology
Martin Bojowald, Hector Hernandez, Mikhail Kagan, Parampreet Singh, Aureliano Skirzewski
4 pages
IGPG-06/11-3, AEI-2006-085

"Inhomogeneous cosmological perturbation equations are derived in loop quantum gravity[/color], taking into account corrections in particular in gravitational parts. This provides a framework for calculating the evolution of modes in structure formation scenarios related to inflationary or bouncing models. Applications here are corrections to the Newton potential and to the evolution of large scale modes which imply non-conservation of curvature perturbations possibly noticeable in a running spectral index. These effects are sensitive to quantization procedures and test the characteristic behavior of correction terms derived from quantum gravity."

The next was spotted by selfAdjoint, who started a discussion thread here:
https://www.physicsforums.com/showthread.php?t=144841
http://arxiv.org/hep-ph/0611279
Beyond the Standard Model
Dmitri I. Kazakov
11 pages, 11 figures, Plenary talk at XXXIII ICHEP, Moscow 2006

"Review of recent developments in attempts to go beyond the Standard Model is given. We concentrate on three main unresolved problems: mechanism of electroweak symmetry breaking, expected new physics at the TeV scale (mainly SUSY) and the origin of the Dark matter."

 

[marcus]

http://arxiv.org/abs/gr-qc/0611141
The Canonical Approach to Quantum Gravity: General Ideas and Geometrodynamics
Domenico Giulini, Claus Kiefer
21 pages, 6 figures. Contribution to E. Seiler and I.-O. Stamatescu (editors): `Approaches To Fundamental Physics -- An Assessment Of Current Theoretical Ideas' (Springer Verlag, to appear) "We give an introduction to the canonical formalism of Einstein's theory of general relativity. This then serves as the starting point for one approach to quantum gravity called quantum geometrodynamics. The main features and applications of this approach are briefly summarized."

http://arxiv.org/abs/gr-qc/0611135
Quantum causal histories in the light of quantum information
Etera R. Livine, Daniel R. Terno
9 pages, 8 figures

"We use techniques of quantum information theory to analyze the quantum causal histories approach to quantum gravity. We show that while it is consistent to introduce closed timelike curves (CTCs), they cannot generically carry independent degrees of freedom. Moreover, if the effective dynamics of the chronology-respecting part of the system is linear, it should be completely decoupled from the CTCs. In the absence of a CTC not all causal structures admit the introduction of quantum mechanics. It is possible for those and only for those causal structures that can be represented as quantum computational networks. The dynamics of the subsystems should not be unitary or even completely positive. However, we show that other commonly made assumptions ensure the complete positivity of the reduced dynamics."

http://arxiv.org/abs/hep-th/0611294
Scale-dependent metric and causal structures in Quantum Einstein Gravity
Martin Reuter, Jan-Markus Schwindt
52 pages "Within the asymptotic safety scenario for gravity various conceptual issues related to the scale dependence of the metric are analyzed. The running effective field equations implied by the effective average action of Quantum Einstein Gravity (QEG) and the resulting families of resolution dependent metrics are discussed. The status of scale dependent vs. scale independent diffeomorphisms is clarified, and the difference between isometries implemented by scale dependent and independent Killing vectors is explained. A concept of scale dependent causality is proposed and illustrated by various simple examples. The possibility of assigning an 'intrinsic length' to objects in a QEG spacetime is also discussed."

http://arxiv.org/abs/quant-ph/0611261
Concerning Dice and Divinity
D.M.Appleby
Contribution to proceedings of Foundations of Probability and Physics, Vaxjo, 2006

"Einstein initially objected to the probabilistic aspect of quantum mechanics - the idea that God is playing at dice. Later he changed his ground, and focussed instead on the point that the Copenhagen Interpretation leads to what Einstein saw as the abandonment of physical realism. We argue here that Einstein's initial intuition was perfectly sound, and that it is precisely the fact that quantum mechanics is a fundamentally probabilistic theory which is at the root of all the controversies regarding its interpretation. Probability is an intrinsically logical concept. This means that the quantum state has an essentially logical significance. It is extremely difficult to reconcile that fact with Einstein's belief, that it is the task of physics to give us a vision of the world apprehended sub specie aeternitatis. Quantum mechanics thus presents us with a simple choice: either to follow Einstein in looking for a theory which is not probabilistic at the fundamental level, or else to accept that physics does not in fact put us in the position of God looking down on things from above. There is a widespread fear that the latter alternative must inevitably lead to a greatly impoverished, positivistic view of physical theory. It appears to us, however, that the truth is just the opposite. The Einsteinian vision is much less attractive than it seems at first sight. In particular, it is closely connected with philosophical reductionism."

http://arxiv.org/abs/gr-qc/0611148
Fundamental spatiotemporal decoherence: a key to solving the conceptual problems of black holes, cosmology and quantum mechanics
Rodolfo Gambini, Rafael Porto, Jorge Pullin
6 pages, Honorable Mention GRF 2006, to appear in IJMPD "Unitarity is a pillar of quantum theory. Nevertheless, it is also a source of several of its conceptual problems. We note that in a world where measurements are relational, as is the case in gravitation, quantum mechanics exhibits a fundamental level of loss of coherence. This can be the key to solving, among others, the puzzles posed by the black hole information paradox, the formation of inhomogeneities in cosmology and the measurement problem in quantum mechanics."

 

[marcus]

http://arxiv.org/abs/math.CT/0611930
A Double Bicategory of Cobordisms With Corners
Jeffrey Morton
40 pages, 7 figures

"Interest in cobordism categories arises in areas from topology to theoretical physics, and in particular in Topological Quantum Field Theories (TQFT's). These categories have manifolds as objects, and cobordisms between them as morphisms, have - that is, manifolds of one dimension higher whose boundary decomposes into the source and target. Since the boundary of a boundary is empty, this formulation cannot account for cobordisms between manifolds with boundary. This is needed to describe open-closed TQFT's, and more generally, 'extended TQFT's'. We describe a framework for describing these, in the form of what we call a 'Verity Double Bicategory', after Dominic Verity, who introduced them. This is similar to a double category, but with properties holding only up to certain 2-morphisms. We show how a broad class of examples is given by a construction involving spans in suitable settings, and how this gives cobordisms between cobordisms when we start with the category of manifolds."

http://arxiv.org/abs/gr-qc/0611154
MacDowell-Mansouri gravity and Cartan geometry
Derek K. Wise
34 pages, 5 figures

"The geometric content of the MacDowell-Mansouri formulation of general relativity is best understood in terms of Cartan geometry. In particular, Cartan geometry gives clear geometric meaning to the MacDowell-Mansouri trick of combining the Levi-Civita connection and coframe field, or soldering form, into a single physical field. The Cartan perspective allows us to view physical spacetime as tangentially approximated by an arbitrary homogeneous 'model spacetime', including not only the flat Minkowski model, as is implicitly used in standard general relativity, but also de Sitter, anti de Sitter, or other models. A 'Cartan connection' gives a prescription for parallel transport from one 'tangent model spacetime' to another, along any path, giving a natural interpretation of the MacDowell-Mansouri connection as 'rolling' the model spacetime along physical spacetime. I explain Cartan geometry, and 'Cartan gauge theory', in which the gauge field is replaced by a Cartan connection. In particular, I discuss MacDowell-Mansouri gravity, as well as its recent reformulation in terms of BF theory, in the context of Cartan geometry."

http://arxiv.org/abs/gr-qc/0611156
On Loop States in Loop Quantum Gravity
N. D. Hari Dass, Manu Mathur
12 pages, 3 figures

"We explicitly construct and characterize all possible independent loop states in 3+1 dimensional loop quantum gravity by regulating it on a 3-d regular lattice in the Hamiltonian formalism. These loop states, characterized by the (dual) angular momentum quantum numbers, describe SU(2) rigid rotators on the links of the lattice. The loop states are constructed using the Schwinger bosons which are harmonic oscillators in the fundamental (spin half) representation of SU(2). Using generalized Wigner Eckart theorem, we compute the matrix elements of the volume operator in the loop basis. Some simple loop eigenstates of the volume operator are explicitly constructed."

 

[marcus]

noted in mid-November (post 535)

http://arxiv.org/abs/hep-th/0611182
Renormalizable Non-Metric Quantum Gravity?
Kirill Krasnov
5 pages, no figures

"We argue that four-dimensional quantum gravity may be essentially renormalizable provided one relaxes the assumption of metricity of the theory. We work with Plebanski formulation of general relativity in which the metric (tetrad), the connection as well as the curvature are all independent variables and the usual relations among these quantities are only on-shell. One of the Euler-Lagrange equations of this theory guarantees its metricity. We show that quantum corrections generate a counterterm that destroys this metricity property, and that there are no other counterterms, at least at the one-loop level. There is a new coupling constant that controls the non-metric character of the theory. Its beta-function can be computed and is negative, which shows that the non-metricity becomes important in the infra red. The new IR-relevant term in the action is akin to a curvature dependent cosmological 'constant' and may provide a mechanism for naturally small 'dark energy'. "

there is now a video to go along with it. Krasnov giving a slide presentation at P.I. and lots of questions (from Laurent Freidel and Lee Smolin among others) and discussion.
Krasnov has a version of gravity that departs from usual at large scale and something like a cosmological constant comes out of it.
If you want to jump to the "Dark Energy" slide it is #5 on page 5 of the slide menu---about halfway through. You can start the video there if you want.
The discussion of "interpretation" begins at slide #7 of page 8 of slide menu. Starting there you get a lot of questions by people in audience and Krasnov responding.

the video is #06110041 (dated 30 November) in the P.I. collection
http://www.perimeterinstitute.ca/en/Scientific/Seminars/PIRSA/
one way to get it is just type that PIRSA number in the box
another way, since it is recent, is to click on "catch up" so you get a list
of all the recent video seminars

 

[marcus]

revised version just posted:

http://arxiv.org/abs/gr-qc/0601043
Can Gravitons Be Detected?
Tony Rothman, Stephen Boughn
This version as appeared in Foundations of Physics
Journal-ref: Foundations of Physics, vol. 36, No. 12, 1801-1825 (2006)

"Freeman Dyson has questioned whether any conceivable experiment in the real universe can detect a single graviton. If not, is it meaningful to talk about gravitons as physical entities? We attempt to answer Dyson's question and find it is possible concoct an idealized thought experiment capable of detecting one graviton; however, when anything remotely resembling realistic physics is taken into account, detection becomes impossible, indicating that Dyson's conjecture is very likely true. We also point out several mistakes in the literature dealing with graviton detection and production."

a 1981 paper of Bohm, re-published to make it more accessible:
http://arxiv.org/abs/quant-ph/0612002
Algebraic Quantum Mechanics and Pregeometry
D.J. Bohm P.G. Davies B.J. Hiley
This paper was originally written in 1981 and published as a supplement to my Ph.D. thesis. (Davies, P., (1981) The Weyl Algebra and an Algebraic Mechanics. Ph.D thesis, Birkbeck College, University of London.) It is believed to be one of the "lost papers" of David Bohm as it was is not listed among his completed works and is set forth here for historical completeness

"We discuss the relation between the q-number approach to quantum mechanics suggested by Dirac and the notion of "pregeometry" introduced by Wheeler. By associating the q-numbers with the elements of an algebra and regarding the primitive idempotents as "generalized points" we suggest an approach that may make it possible to dispense with an a priori given space manifold. In this approach the algebra itself would carry the symmetries of translation, rotation, etc. Our suggestion is illustrated in a preliminary way by using a particular generalized Clifford Algebra proposed originally by Weyl, which approaches the ordinary Heisenberg algebra in a suitable limit. We thus obtain a certain insight into how quantum mechanics may be regarded as a purely algebraic theory, provided that we further introduce a new set of "neighbourhood operators", which remove an important kind of arbitrariness that has thus far been present in the attempt to treat quantum mechanics solely in terms of a Heisenberg algebra."

http://arxiv.org/abs/math-ph/0612012
An informal introduction to the ideas and concepts of noncommutative geometry
Thierry Masson
53 pages, Lecture given at the 6th Peyresq meeting "Integrable systems and quantum field theory" "This informal introduction is an extended version of a three hours lecture given at the 6th Peyresq meeting ``Integrable systems and quantum field theory''. In this lecture, we make an overview of some of the mathematical results which motivated the development of what is called noncommutative geometry. The first of these results is the theorem by Gelfand and Neumark about commutative $C^\ast$-algebras; then come some aspects of the $K$-theories, first for topological spaces, then for $C^\ast$-algebras and finally the purely algebraic version. Cyclic homology is introduced, keeping in mind its relation to differential structures. The last result is the construction of the Chern character, which shows how these developments are related to each other."

 

[marcus]

PIRSA numbers for some recent seminar talk videos

Some of these entries do not yet have the title and abstract. Note that there are some here from the Young Researchers Conference that took place at Perimeter this week---Willem Westra (PhD student who has co-authored with Loll), Andy Randono (PhD student with research generalizing the Kodama state).

The videos are split screen, showing a larger-format version of the slide or blackboard. They can be watched at the PI site simply by typing in the PIRSA number.
http://www.perimeterinstitute.ca/en/Scientific/Seminars/PIRSA/

or even easier, check the QG box here and click "do search"
http://www.perimeterinstitute.ca/in...=113&Itemid=167&p=presentations&with_msl=true
then you get a menu---and can just select what you want to watch from the menu

The ones that I starred (***) are talks that I watched and can recommend to anyone interested in the topic. (Benedetti, Randono, Krasnov...)***PIRSA#: 06110041
Renormalizable Non-Metric Quantum Gravity?
Kirill Krasnov - University of Nottingham
We argue that four-dimensional quantum gravity may be essentially renormalizable provided one relaxes the assumption of metricity of the theory. We work with Plebanski formulation of general relativity in which the metric (tetrad), the connection as well as the curvature are all independent variables and the usual relations among these quantities are only on-shell. One of the Euler-Lagrange equations of this theory guarantees its metricity. We show that quantum corrections generate a counterterm that destroys this metricity property, and that there are no other counterterms, at least at the one-loop level. There is a new coupling constant that controls the non-metric character of the theory. Its beta-function can be computed and is negative, which shows that the non-metricity becomes important in the infra red. The new IR-relevant term in the action is akin to a curvature dependent cosmological "constant" and may provide a mechanism for naturally small "dark energy".
30/11/2006

PIRSA#: 06120017
Kappa Deformed Field Theory
Sebastian Nowak (Wroclaw, probably Kowalski-Glikman's group)
The description of noncommutative space will be given. I will show the relation between field theory on kappa-Minkowski space and the one in Minkowski. This construction leads to deformed energy momentum conservation law for energies close to the Planck scale.
04/12/2006

PIRSA#: 06120018
A Cosmological Sector in Loop Quantum Gravity
Tim Koslowski (Würzburg)
A classical Hamiltonian system can be reduced to a subsystem of "relevant observables" using the pull-back under a Poisson embedding of the "relevant phase space" into the "full phase space". Since a quantum theory can be thought of a noncommutative phase space, one encounters the problem of the embedding of noncommutative spaces, when one tries to extend the reduction via a pull-back to a quantum theory. This problem can be solved for a class of physically interesting quantum systems and embeddings using an analogy to finding the base space of an embedded fibre bundle via the projection in the full fibre bundle. The resulting construction is then applied to Loop Quantum Gravity to extract a cosmological sector. This sector turns out to be similar but not equivalent to Loop Quantum Cosmology.
04/12/2006

PIRSA#: 06120019
Emergence of a Background From Background Independent Quantum Gravity
Willem Westra (Utrecht, Loll's group)
04/12/2006

*?*PIRSA#: 06120030
Dario Benedetti (Utrecht, Loll's group)
A Simplicial Path to the Quantum Hamiltonian of Gravity
06/12/2006
[my comment: this talk presents results in work by Loll and Benedetti which has not yet been posted on arxiv or published anywhere. It looks like Loll may have shifted emphasis from doing Monte Carlo simulations back to proving stuff analytically. This research is about the 2+1 dimensional case. Apparently they got an unexpected result. You can skip to the last two slides and start the talk there, near the end. Something problematical apparently came up, that they are trying to explain. I just saw this and can't comment. The talk starts slow, with review of the whole development of CDT, so it helps to look at the slide menu and decide where to jump in and start the talk. If you know some CDT already you don't have to start at the very beginning.]

***PIRSA#: 06120032
Andy Randono (Texas-Austin)
Generalizing the Kodama State
06/12/2006

==================
The menu gives a longer listing of PIRSA numbers for QG seminars (incl. Smolin, Bojowald,... other well-known speakers)
That's where you check the QG box here http://www.perimeterinstitute.ca/in...=113&Itemid=167&p=presentations&with_msl=true
and click "do search". You don't have to type in anything. It's pretty easy. Here is a sample.

***PIRSA#:05090005
Shahn Majid
Noncommutative geometry and the origin of time
14/09/2005

***PIRSA#: 05110009
Sundance Bilson-Thompson
Topological Preon Models: a Braid New World
01/11/2005

 

[marcus]

http://arxiv.org/abs/gr-qc/0612071
Plebanski Theory and Covariant Canonical Formulation
Sergei Alexandrov, Eric Buffenoir, Philippe Roche
18 pages

"We establish an equivalence between the Hamiltonian formulation of the Plebanski action for general relativity and the covariant canonical formulation of the Hilbert-Palatini action. This is done by comparing the symplectic structures of the two theories through the computation of Dirac brackets. We also construct a shifted connection with simplified Dirac brackets, playing an important role in the covariant loop quantization program, in the Plebanski framework. Implications for spin foam models are also discussed."

http://arxiv.org/abs/gr-qc/0612070
Loop quantum cosmology and the k = - 1 RW model
Kevin Vandersloot
14 pages, 3 figures

"The loop quantization of the negatively curved k=-1 RW model poses several technical challenges. We show that the issues can be overcome and a successful quantization is possible that extends the results of the k=0,+1 models in a natural fashion. We discuss the resulting dynamics and show that for a universe consisting of a massless scalar field, a bounce is predicted in the backward evolution in accordance with the results of the k=0,+1 models. We also show that the model predicts a vacuum repulsion in the high curvature regime that would lead to a bounce even for matter with vanishing energy density. We finally comment on the inverse volume modifications of loop quantum cosmology and show that, as in the k=0 model, the modifications depend sensitively on the introduction of a length scale which a priori is independent of the curvature scale or a matter energy scale."

http://arxiv.org/abs/gr-qc/0612084
Evaporating loop quantum black hole
Leonardo Modesto
13 pages, 9 figures

"In this paper we obtain the black hole metric from a semiclassical analysis of loop quantum black hole. Our solution and the Schwarzschild one tend to match well at large distances from Planck region. In r=0 the semiclassical metric is regular and singularity free in contrast to the classical one. By using the new metric we calculate the Hawking temperature and the entropy. For the entropy we obtain the logarithmic correction to the classical area law. Finally we study the mass evaporation process and we show the mass and temperature tend to zero at infinitive time."


http://arxiv.org/abs/gr-qc/0612074
Counting entropy in causal set quantum gravity
D. Rideout, S. Zohren
5 pages, 1 figure. Talk given by S. Zohren at the Eleventh Marcel Grossmann Meeting on General Relativity at the Freie U. Berlin, July 23 - 29, 2006

"The finiteness of black hole entropy suggest that spacetime is fundamentally discrete, and hints at an underlying relationship between geometry and "information". The foundation of this relationship is yet to be uncovered, but should manifest itself in a theory of quantum gravity. We review recent attempts to define a microscopic measure for black hole entropy and for the maximum entropy of spherically symmetric spacelike regions, within the causal set approach to quantum gravity."

 

[marcus]

http://arxiv.org/abs/gr-qc/0612093
Can we see gravitational collapse in (quantum) gravity perturbation theory?
J. Kowalski-Glikman, A. Starodubtsev
23 pages

"In this paper, by making use of the perturbative expansion around topological field theory we are trying to understand why the standard perturbation theory for General Relativity, which starts with linearized gravity does not see gravitational collapse. We start with investigating classical equations of motion. For zero Immirzi parameter the ambiguity of the standard perturbative expansion is reproduced. This ambiguity is related to the appearance of the linearized diffeomorphism symmetry, which becomes unlinked from the original diffeomorphism symmetry. Introducing Immirzi parameter makes it possible to restore the link between these two symmetries and thus removes the ambiguity, but at the cost of making classical perturbation theory rather intractable. Then we argue that the two main sources of complexity of perturbation theory, infinite number of degrees of freedom and non-trivial curvature of the phase space of General Relativity could be disentangled when studying quantum amplitudes. As an illustration we consider zero order approximation in quantum perturbation theory. We identify relevant observables, and sketch their quantization. We find some indications that this zero order approximation might be described by Doubly Special Relativity."

 

[marcus]

http://arxiv.org/abs/gr-qc/0612101
Closed FRW model in Loop Quantum Cosmology
Lukasz Szulc, Wojciech Kaminski, Jerzy Lewandowski
19 pages

"The basic idea of the LQC applies to every spatially homogeneous cosmological model, however only the spatially flat (so called k=0) case has been understood in detail in the literature thus far. In the closed (so called: k=1) case certain technical difficulties have been the obstacle that stopped the development. In this work the difficulties are overcome, and a new LQC model of the spatially closed, homogeneous, isotropic universe is constructed. The topology of the spacelike section of the universe is assumed to be that of SU(2) or SO(3). Surprisingly, according to the results achieved in this work, the two cases can be distinguished from each other just by the local properties of the quantum geometry of the universe. The quantum hamiltonian operator of the gravitational field takes the form of a difference operator, where the elementary step is the quantum of the 3-volume derived in the flat case by Ashtekar, Pawlowski and Singh. The mathematical properties of the operator are studied: it is essentially self-adjoint, bounded from above by 0, the 0 itself is not an eigenvalue, the eigenvectors form a basis. An estimate on the dimension of the spectral projection on any finite interval is provided."

http://arxiv.org/abs/gr-qc/0612104
Loop quantum cosmology of k=1 FRW models
Abhay Ashtekar, Tomasz Pawlowski, Parampreet Singh, Kevin Vandersloot
43 pages, 11 figures
IGPG-06/12-1

"The closed, k=1, FRW cosmology coupled to a massless scalar field is investigated in the framework of loop quantum cosmology using analytical and numerical methods. As in the k=0 case, the scalar field can be again used as emergent time to construct the physical Hilbert space and introduce Dirac observables. The resulting framework is then used to address a major challenge of quantum cosmology: resolving the big-bang singularity while retaining agreement with general relativity at large scales. It is shown that the framework fulfills this task. In particular, for states which are semi-classical at some late time, the big-bang is replaced by a quantum bounce and a recollapse occurs at the value of the scale factor predicted by classical general relativity. Thus, the `difficulties' pointed out by Green and Unruh in the k=1 case do not arise in a more systematic treatment. As in k=0 models, quantum dynamics is deterministic across the deep Planck regime. However, because it also retains the classical recollapse, in contrast to the k=0 case one is now led to a cyclic model. Finally, we clarify some issues raised by Laguna's recent work addressed to computational physicists."


http://arxiv.org/abs/gr-qc/0612111
Some comments on the universal constant in DSR
Florian Girelli, Etera R. Livine
12 pages, Proceedings of DICE2006 (Piombino, Italy)

"Deformed Special Relativity is usually presented as a deformation of Special Relativity accommodating a new universal constant, the Planck mass, while respecting the relativity principle. In order to avoid some fundamental problems (e.g. soccer ball problem), we argue that we should switch point of view and consider instead the Newton constant G as the universal constant."

http://arxiv.org/abs/hep-th/0612170
From noncommutative kappa-Minkowski to Minkowski space-time
Laurent Freidel, Jerzy Kowalski-Glikman, Sebastian Nowak
6 pages

"We show that free kappa-Minkowski space field theory is equivalent to a relativistically invariant, non local, free field theory on Minkowski space-time. The field theory we obtain has in spectrum a relativistic mode of arbitrary mass m and a Planck mass tachyon. We show that while the energy momentum for the relativistic mode is essentially the standard one, it diverges for the tachyon, so that there are no asymptotic tachyonic states in the theory. It also follows that the dispersion relation is not modified, so that, in particular, in this theory the speed of light is energy-independent."

http://arxiv.org/abs/hep-th/0612185
The status of cosmological natural selection
Lee Smolin
25 pages

"The problem of making predictions from theories that have landscapes of possible low energy parameters is reviewed. Conditions for such a theory to yield falsifiable predictions for doable experiments are given. It is shown that the hypothesis of cosmological natural selection satisfies these conditions, thus showing that it is possible to continue to do physics on a landscape without invoking the anthropic principle. In particular, this is true whether or not the ensemble of universes generated by black holes bouncing is a sub-ensemble of a larger ensemble that might be generated by a random process such as eternal inflation.
A recent criticism of cosmological natural selection made by Vilenkin in hep-th/0610051 is discussed. It is shown to rely on assumptions about both the infrared and ultraviolet behavior of quantum gravity that are very unlikely to be true."