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Jimster41

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http://arxiv.org/abs/1507.00591

H. Nikolic

(Submitted on 2 Jul 2015)

We propose a new non-holographic formulation of AdS/CFT correspondence, according to which quantum gravity on AdS and its dual non-gravitational field theory both live in the same number D of dimensions. The field theory, however, appears (D-1)-dimensional because the interactions do not propagate in one of the dimensions. The D-dimensional action for the field theory can be identified with the sum over (D-1)-dimensional actions with all possible values Λ of the UV cutoff, so that the extra hidden dimension can be identified with Λ. Since there are no interactions in the extra dimension, most of the practical results of standard holographic AdS/CFT correspondence transcribe to non-holographic AdS/CFT without any changes. However, the implications on black-hole entropy change significantly. The maximal black-hole entropy now scales with volume, while the Bekenstein-Hawking entropy is interpreted as the minimal possible black-hole entropy. In this way, the non-holographic AdS/CFT correspondence offers a simple resolution of the black-hole information paradox, consistent with a recently proposed gravitational crystal.

p16 "Here h(Λ) is a measure which depends on Λ explicitly, but does not depend on φ(Λ) and g(Λ). The action (49) has the same symmetries as the action (47), but has one dimension more corresponding to Λ. 16 The extra dimension parameterized by Λ is very different from other dimensions parameterized by x µ . As a consequence, the D-dimensional Lorentz group is not a symmetry of (49).

http://arxiv.org/abs/1001.0785

Erik P. Verlinde

(Submitted on 6 Jan 2010)

Starting from first principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space is emergent through a holographic scenario. Gravity is explained as an entropic force caused by changes in the information associated with the positions of material bodies. A relativistic generalization of the presented arguments directly leads to the Einstein equations. When space is emergent even Newton's law of inertia needs to be explained. The equivalence principle leads us to conclude that it is actually this law of inertia whose origin is entropic.http://arxiv.org/abs/0809.0025

Edward H. Feng, Gavin E. Crooks

(Submitted on 29 Aug 2008)

An unresolved problem in physics is how the thermodynamic arrow of time arises from an underlying time reversible dynamics. We contribute to this issue by developing a measure of time-symmetry breaking, and by using the work fluctuation relations, we determine the time asymmetry of recent single molecule RNA unfolding experiments. We define time asymmetry as the Jensen-Shannon divergence between trajectory probability distributions of an experiment and its time-reversed conjugate. Among other interesting properties, the length of time's arrow bounds the average dissipation and determines the difficulty of accurately estimating free energy differences in nonequilibrium experiments.http://arxiv.org/abs/cond-mat/9901352

Gavin E. Crooks

(Submitted on 29 Jan 1999 (v1), last revised 29 Jul 1999 (this version, v4))

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability distribution of nonequilibrium systems. Another recently discovered far-from-equilibrium expression relates nonequilibrium measurements of the work done on a system to equilibrium free energy differences. In this paper, we derive a generalized version of the fluctuation theorem for stochastic, microscopically reversible dynamics. Invoking this generalized theorem provides a succinct proof of the nonequilibrium work relation.

**AdS/CFT without holography: A hidden dimension on the CFT side and implications for black-hole entropy**H. Nikolic

(Submitted on 2 Jul 2015)

We propose a new non-holographic formulation of AdS/CFT correspondence, according to which quantum gravity on AdS and its dual non-gravitational field theory both live in the same number D of dimensions. The field theory, however, appears (D-1)-dimensional because the interactions do not propagate in one of the dimensions. The D-dimensional action for the field theory can be identified with the sum over (D-1)-dimensional actions with all possible values Λ of the UV cutoff, so that the extra hidden dimension can be identified with Λ. Since there are no interactions in the extra dimension, most of the practical results of standard holographic AdS/CFT correspondence transcribe to non-holographic AdS/CFT without any changes. However, the implications on black-hole entropy change significantly. The maximal black-hole entropy now scales with volume, while the Bekenstein-Hawking entropy is interpreted as the minimal possible black-hole entropy. In this way, the non-holographic AdS/CFT correspondence offers a simple resolution of the black-hole information paradox, consistent with a recently proposed gravitational crystal.

*The above recent paper, as I understand it, suggests that there is no reason to say that the CFT does not exist in the same number of D as the AdS, as long as information in the +1d (or +nd) does not propagate (or does not freely propagate) in the CFT. This seems like an interesting clarification of the AdS/CFT relationship...*

I'm interested in whether or not there is a possible relation between the regulator component [itex]\Lambda [/itex] applied by the AdS free dimension (which does influence the CFT subspace) and the bulk SLOT, which determines the probability of specific Action ala Crooks Fluctuation Theorem, in which time (increasing entropy) and gravity are also connected.

If the regulator is not information free (w/respect to the bulk) but as suggested is just constrained to operate only through the control of re-normalization and not through the CFT action explicitly, is there a natural description of the apparent structure of free energy (why some actions appear to be more probable than others), hence the information emergent in non-equilibrium structure?

I'm interested in whether or not there is a possible relation between the regulator component [itex]\Lambda [/itex] applied by the AdS free dimension (which does influence the CFT subspace) and the bulk SLOT, which determines the probability of specific Action ala Crooks Fluctuation Theorem, in which time (increasing entropy) and gravity are also connected.

If the regulator is not information free (w/respect to the bulk) but as suggested is just constrained to operate only through the control of re-normalization and not through the CFT action explicitly, is there a natural description of the apparent structure of free energy (why some actions appear to be more probable than others), hence the information emergent in non-equilibrium structure?

p16 "Here h(Λ) is a measure which depends on Λ explicitly, but does not depend on φ(Λ) and g(Λ). The action (49) has the same symmetries as the action (47), but has one dimension more corresponding to Λ. 16 The extra dimension parameterized by Λ is very different from other dimensions parameterized by x µ . As a consequence, the D-dimensional Lorentz group is not a symmetry of (49).

This seems to me to connect the idea of gravity and the intertial mass as a free energy or entropic "force", (ala Verlinde), and likewise to Crooks/Jarsynski Fluctuation Work TheoremThis seems to me to connect the idea of gravity and the intertial mass as a free energy or entropic "force", (ala Verlinde), and likewise to Crooks/Jarsynski Fluctuation Work Theorem

http://arxiv.org/abs/1001.0785

**On the Origin of Gravity and the Laws of Newton**Erik P. Verlinde

(Submitted on 6 Jan 2010)

Starting from first principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space is emergent through a holographic scenario. Gravity is explained as an entropic force caused by changes in the information associated with the positions of material bodies. A relativistic generalization of the presented arguments directly leads to the Einstein equations. When space is emergent even Newton's law of inertia needs to be explained. The equivalence principle leads us to conclude that it is actually this law of inertia whose origin is entropic.http://arxiv.org/abs/0809.0025

**The length of time's arrow**Edward H. Feng, Gavin E. Crooks

(Submitted on 29 Aug 2008)

An unresolved problem in physics is how the thermodynamic arrow of time arises from an underlying time reversible dynamics. We contribute to this issue by developing a measure of time-symmetry breaking, and by using the work fluctuation relations, we determine the time asymmetry of recent single molecule RNA unfolding experiments. We define time asymmetry as the Jensen-Shannon divergence between trajectory probability distributions of an experiment and its time-reversed conjugate. Among other interesting properties, the length of time's arrow bounds the average dissipation and determines the difficulty of accurately estimating free energy differences in nonequilibrium experiments.http://arxiv.org/abs/cond-mat/9901352

**The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences**Gavin E. Crooks

(Submitted on 29 Jan 1999 (v1), last revised 29 Jul 1999 (this version, v4))

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability distribution of nonequilibrium systems. Another recently discovered far-from-equilibrium expression relates nonequilibrium measurements of the work done on a system to equilibrium free energy differences. In this paper, we derive a generalized version of the fluctuation theorem for stochastic, microscopically reversible dynamics. Invoking this generalized theorem provides a succinct proof of the nonequilibrium work relation.

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