Coin said:
...
But basically I am curious whether there are any commonalities between all of these models which reject the poincare group (besides of course the detail that they reject the poincare group...)
Actually I am only just now noticing this thread, perhaps I should read this?
Hi Coin, the custom is to start discussions in a separate thread. Otherwise this biblio link thread would get overloaded.
You are new and there's no reason you would know. Anyway I thought you raised a bunch of related issues, not merely having to do with the Pereira Aldrovandi paper, so I started a thread in case people want to discuss
I hope the title accurately reflects the cluster of issues you have in mind
How extensions of relativity apply to quantum gravity (Coin's gambit)
https://www.physicsforums.com/showthread.php?t=202438
If I got the drift wrong (I apologize and) let me know so i can try to correct and get it right.
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Continuing the biblio-linkage---this important 4-page june 2007 paper used to have a title that made it difficult to recommend to people because you had to explain the title, but now, as a couple of weeks ago, it has been accepted for publication in PRL and has a new, more descriptive title:
http://arxiv.org/abs/0706.3690
Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
Ali H. Chamseddine, Alain Connes
Phys. Rev. Lett. 99, 191601 (2007)
(Submitted on 25 Jun 2007)
"The purpose of this letter is to remove the arbitrariness of the ad hoc choice of the algebra and its representation in the noncommutative approach to the Standard Model, which was begging for a conceptual explanation. We assume as before that space-time is the product of a four-dimensional manifold by a finite noncommmutative space F. The spectral action is the pure gravitational action for the product space. To remove the above arbitrariness, we classify the irreducibe geometries F consistent with imposing reality and chiral conditions on spinors, to avoid the fermion doubling problem, which amounts to have total dimension 10 (in the K-theoretic sense). It gives, almost uniquely, the Standard Model with all its details, predicting the number of fermions per generation to be 16, their representations and the Higgs breaking mechanism, with very little input. The geometrical model is valid at the unification scale, and has relations connecting the gauge couplings to each other and to the Higgs coupling. This gives a prediction of the
Higgs mass of around 170 GeV and a mass relation connecting the sum of the square of the masses of the fermions to the W mass square,
which enables us to predict the top quark mass compatible with the measured experimental value. We thus manage to have the advantages of both SO(10) and Kaluza-Klein unification, without paying the price of plethora of Higgs fields or the infinite tower of states."
This is just the sort of thing we need more of-----conceptual (hopefully intuitive) explanations of what may seem, like Connes' algebraic/geometric derivation of the Standard Model, like an extremely strange and puzzling coincidence.
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Frank Saueressig and Pedro Machado are both at Utrecht, or were until recently. Saueressig has co-authored some Asymptotic Safety papers with Martin Reuter, including a recent pedagogical survey of A.S. Now, with this new one, Saueressig seems to be going out on his own, without Reuter as senior author.
http://arxiv.org/abs/0712.0445
On the renormalization group flow of f(R)-gravity
Pedro F. Machado, Frank Saueressig
55 pages, 7 figures
(Submitted on 4 Dec 2007)
"We use the functional renormalization group equation for quantum gravity to construct a non-perturbative flow equation for modified gravity theories of the form S = \int d^dx \sqrt{g} f(R). Based on this equation we show that certain gravitational interactions monomials can be consistently decoupled from the renormalization group (RG) flow and reproduce recent results on the asymptotic safety conjecture. The non-perturbative RG flow of non-local extensions of the Einstein-Hilbert truncation including \int d^dx \sqrt{g} \ln(R) and \int d^dx \sqrt{g} R^{-n} interactions is investigated in detail. The inclusion of such interactions resolves the infrared singularities plaguing the RG trajectories with positive cosmological constant in previous truncations. In particular, in some R^{-n}-truncations all physical trajectories emanate from a Non-Gaussian (UV) fixed point and are well-defined on all RG scales. The RG flow of the \ln(R)-truncation contains an infrared attractor which drives a positive cosmological constant to zero, thereby providing a dynamical explanation of the tiny value of Lambda observed today."
Pedro Machado is a PhD student of Loll at Utrecht. Just as a refresher, look at Loll's group
http://www.phys.uu.nl/~loll/Web/group/group.html
She gets quality people and they move on to places like Perimeter, Marseille.
Saueressig is a young guy who has published mainly string research (plus 4 or 5 papers with Reuter), he could easily be pursuing a string carreer, but for some reason he has moved over into nonstring QG at least for the moment.
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Rudy Vaas has been the main popularizer of LQG, LQC, and nonstring QG in general. He writes in German for the SciAm-like Bild der Wissenschaft, Ashtekar has English translations of Vaas QG articles at his personal website, and some are on arxiv as well. Vaas is a Philosophy of Science expert who also writes science for wide audience. Now Springer Press has commissioned Vaas to do a book scheduled to come out in 2008 called BEYOND THE BIG BANG.
We will be seeing preprints of chapters contributed by various people, I expect. Today a preprint chapter by Tony Aguirre showed up:
http://arxiv.org/abs/0712.0571
Eternal Inflation, past and future
Authors: Anthony Aguirre
38 pp., 6 color figures. Contribution to R. Vaas (ed.): Beyond the Big Bang. Springer 2008
(Submitted on 4 Dec 2007)
"Cosmological inflation, if it occurred, radically alters the picture of the 'big bang', which would merely point to reheating at the end of inflation. Moreover, this reheating may be only local, so that inflation continues elsewhere and forever, continually spawning big-bang-like regions. This chapter reviews this idea of 'eternal inflation', then focuses on what this may mean for the ultimate beginning of the universe. In particular, I will argue that given eternal inflation, the universe may be free of a cosmological initial singularity, might be eternal (and eternally inflating) to the past, and might obey an interesting sort of cosmological time-symmetry."
I don't know of any evidence that points to the "Eternal Inflation" picture being real, or that makes it a theoretical necessity. It may be just a fantasy that appeals to certain people. But Vaas is evidently including all kinds of idea of before big bang in his book, which should be quite interesting.
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http://arxiv.org/abs/0712.0315
Very-High Energy Gamma Astrophysics
Alessandro De Angelis, Oriana Mansutti, Massimo Persic
Invited Review Talk at the Sixth International Workshop on New Worlds in Astroparticle Physics, September 6-8, 2007, University of the Algarve, Faro, Portugal
(Submitted on 3 Dec 2007)
"High energy photons are a powerful probe for astrophysics and for fundamental physics under extreme conditions. During the recent years, our knowledge or the most violent phenomena in the Universe has impressively progressed thanks to the advent of new detectors for high energy gamma rays. Observation of gamma rays gives an exciting view of the high energy universe thanks to the current (AGILE) and future (GLAST) satellite-based telescopes and to the current and future ground-based telescopes like the Cherenkov telescopes (H.E.S.S. and MAGIC in particular), which discovered in the recent years more than 60 new very-high energy sources. The progress achieved with the latest generation of Cherenkov telescopes is comparable to the one drawn by EGRET satellite-borne observatory with respect to the previous gamma-ray satellite detectors. This article reviews the present status of high-energy gamma astrophysics, with emphasis on the recent results and on the experimental developments."
Stephon Alexander has co-authored with Lee Smolin and is currently postdoc at Ashtekar's institute at Penn State
http://arxiv.org/abs/0712.0370
Local Void vs Dark Energy: Confrontation with WMAP and Type Ia Supernovae
Stephon Alexander, Tirthabir Biswas, Alessio Notari, Deepak Vaid
26 pages, 11 figures
(Submitted on 3 Dec 2007)
"It is now a known fact that if we happen to be living in the middle of a large underdense region, then we will observe an 'apparent acceleration', even when any form of dark energy is absent. In this paper, we present a 'Minimal Void'' scenario, i.e. a 'void' with minimal underdensity contrast (of about -0.4) and radius (~ 200-250 Mpc/h) that can, not only be consistent with the supernovae data, but also with the 3-yr WMAP data. We also discuss consistency of our model with various other measurements such as Big Bang Nucleosynthesis, Baryon Acoustic Oscillations and local measurements of the Hubble parameter. We also point out possible other observable signatures."