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Holography, Cosmology and the Second Law of Thermodynamics
High Energy Physics - Theory · Submitted 11 Feb 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We propose that in time dependent backgrounds the holographic principle should be replaced by the generalized second law of thermodynamics.
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The abstract, sentence by sentence
We propose that in time dependent backgrounds the holographic principle should be replaced by the generalized second law of thermodynamics. For isotropic open and flat universes with a fixed equation of state, the generalized second law agrees with the cosmological holographic principle proposed by Fischler and Susskind. However, in more complicated spacetimes the two proposals disagree. A modified form of the holographic bound that applies to a post-inflationary universe follows from the generalized second law. However, in a spatially closed universe, or inside a black hole event horizon, there is no simple relationship that connects the area of a region to the maximum entropy it can contain.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose that in time dependent backgrounds the holographic principle should be replaced by the generalized second law of thermodynamics. | contribution 1.00 | 0.81 | 0.81 | speculative 0.67 |
| s1 | For isotropic open and flat universes with a fixed equation of state, the generalized second law agrees with the cosmological holographic principle proposed by Fischler and Susskind. | result 0.97 | 0.43 | 0.10 | asserted 0.99 |
| s2 | However, in more complicated spacetimes the two proposals disagree. | result 0.80 | 0.43 | 0.11 | asserted 1.00 |
| s3 | A modified form of the holographic bound that applies to a post-inflationary universe follows from the generalized second law. | result 0.93 | 0.84 | 0.16 | asserted 1.00 |
| s4 | However, in a spatially closed universe, or inside a black hole event horizon, there is no simple relationship that connects the area of a region to the maximum entropy it can contain. | result 0.69 | 0.64 | 0.12 | asserted 1.00 |
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Original abstract
We propose that in time dependent backgrounds the holographic principle should be replaced by the generalized second law of thermodynamics. For isotropic open and flat universes with a fixed equation of state, the generalized second law agrees with the cosmological holographic principle proposed by Fischler and Susskind. However, in more complicated spacetimes the two proposals disagree. A modified form of the holographic bound that applies to a post-inflationary universe follows from the generalized second law. However, in a spatially closed universe, or inside a black hole event horizon, there is no simple relationship that connects the area of a region to the maximum entropy it can contain.
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References
How the literature uses it
8 arXiv papers cite this in 9 sentences
Papers citing it · 4 sentences without a confident label
Builds on it 1 paper
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Extending this argument by relating the cosmological entropy in a background with time-dependent Hubble parameter [ref] to the microscopic entropy, one finds [equation]
Punctuated eternal inflation via AdS/CFT · Natural minimization of the cosmological constant · 0.93
Cites it as background 4 papers
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Arising from the cosmological application [ref] of the more fundamental holographic principle [ref] , and despite some objections on this approach [ref] , holographic dark energy reveals the dynamical nature of the vacuum energy by relating it to cosmological volumes.
Restoring Holographic Dark Energy in Brane Cosmology · Introduction · 0.98
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Several proposals have been suggested in order to remedy this problem, for example, to replace the particle horizon by Hubble horizon or apparent horizon [ref] .
Holography, UV/IR Relation, Causal Entropy Bound and Dark Energy · Introduction · 0.86
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The applications of the holographic principle to cosmology was first carried out by Fischler and Susskind [ref] , and in the past decades had been extensively studied [ref] .
Stephani Cosmology: Entropically Viable But Observationally Challenged · Introduction: Inhomogeneous Cosmologies and Their Constraints · 1.00
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