Black holes and information theory

Bekenstein, Jacob D.

doi:10.1080/00107510310001632523

Cited by 108 publications

(97 citation statements)

References 53 publications

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“…i.e., α < 8πνζ [14,15,16]. Hence the candidate with R 1 = R max (E 1 ) cannot have very large α values, and is not an HEO as defined here.…”

Section: Introductionmentioning

confidence: 99%

“…This made possible an alternative argument for a bound on a weakly self-gravitating object's entropy which is just a factor of O(10) above (2) [14,15,16]. In the new argument the object is dropped from such a distance that the energy drawn from the hole by the Hawking radiance during the whole infall is balanced by the energy (at infinity) brought in by the object-the BH is left unchanged.…”

Section: Introductionmentioning

confidence: 99%

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Are there hyperentropic objects?

2004

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By treating the Hawking radiation as a system in thermal equilibrium, Marolf and R. Sorkin have argued that hyperentropic objects (those violating the entropy bounds) would be emitted profusely with the radiation, thus opening a loophole in black hole based arguments for such entropy bounds. We demonstrate, on kinetic grounds, that hyperentropic objects could only be formed extremely slowly, and so would be rare in the Hawking radiance, thus contributing negligibly to its entropy. The arguments based on the generalized second law of thermodynamics then rule out weakly selfgravitating hyperentropic objects and a class of strongly self-gravitating ones.

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“…i.e., α < 8πνζ [14,15,16]. Hence the candidate with R 1 = R max (E 1 ) cannot have very large α values, and is not an HEO as defined here.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Are there hyperentropic objects?

2004

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“…Further, information processing may play a fundamental role in our understanding of physical laws [5,6,7,8]. Conversely, the discovery of Shor's algorithm [9] suggested that knowledge of the physical world is relevant to study the limits of efficient computation.…”

Section: Introductionmentioning

confidence: 99%

The Quantum Measurement Problem and Physical reality: A Computation Theoretic Perspective

Srikanth¹

2006

AIP Conference Proceedings

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Is the universe computable? If yes, is it computationally a polynomial place? In standard quantum mechanics, which permits infinite parallelism and the infinitely precise specification of states, a negative answer to both questions is not ruled out. On the other hand, empirical evidence suggests that NP-complete problems are intractable in the physical world. Likewise, computational problems known to be algorithmically uncomputable do not seem to be computable by any physical means. We suggest that this close correspondence between the efficiency and power of abstract algorithms on the one hand, and physical computers on the other, finds a natural explanation if the universe is assumed to be algorithmic; that is, that physical reality is the product of discrete subphysical information processing equivalent to the actions of a probabilistic Turing machine. This assumption can be reconciled with the observed exponentiality of quantum systems at microscopic scales, and the consequent possibility of implementing Shor's quantum polynomial time algorithm at that scale, provided the degree of superposition is intrinsically, finitely upper-bounded. If this bound is associated with the quantum-classical divide (the Heisenberg cut), a natural resolution to the quantum measurement problem arises. From this viewpoint, macroscopic classicality is an evidence that the universe is in BPP, and both questions raised above receive affirmative answers.A recently proposed computational model of quantum measurement, which relates the Heisenberg cut to the discreteness of Hilbert space, is briefly discussed. A connection to quantum gravity is noted. Our results are compatible with the philosophy that mathematical truths are independent of the laws of physics.

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“…Currently, this quantity and its derivatives are used to discuss of black holes, questions connected with the accelerated expansion of the Universe, to build and generalize gravitation theories, etc. (see, e.g., [6][7][8][9][10]). The majority of the papers, being strictly theoretical, place principal emphasis on functional relations between variables established through the analysis of entropy and its production.…”

Section: Introductionmentioning

confidence: 99%

Entropy Production of Main-Sequence Stars

Martyushev

Zubarev

2015

Entropy

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Abstract:The entropy production (inside the volume bounded by a photosphere) of main-sequence stars is calculated based on B-V photometry data. The entropy-production distribution function and the dependences of entropy production on temperature and luminosity are obtained for these stars for the first time. A very small range of variation of specific (per volume) entropy production discovered for main-sequence stars (only 0.5 to 1.8 solar magnitudes) is an interesting result that can be crucial for understanding thermodynamic processes of stars.

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Black holes and information theory

Cited by 108 publications

References 53 publications

Are there hyperentropic objects?

Are there hyperentropic objects?

The Quantum Measurement Problem and Physical reality: A Computation Theoretic Perspective

Entropy Production of Main-Sequence Stars

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