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Two ways to deduce the equivalence of the field equations of general relativity and the principle of maximum force $c^4/4G$ - or the equivalent maximum power $c^5/4G$ - are presented. A simple deduction of inverse square gravity directly…

General Relativity and Quantum Cosmology · Physics 2022-01-03 Christoph Schiller

We show in this pedagogical review that far from being "an apparent law of physics that stands by itself" (R. Bousso, Rev. Mod. Phys. 74 (2002), 825-874), the holographic principle (HP) is a straightforward consequence of the quantum…

Quantum Physics · Physics 2022-11-22 Chris Fields , James F. Glazebrook , Antonino Marciano

The newly discovered principle of maximum force makes it possible to summarize special relativity, quantum theory\se, and general relativity in one fundamental limit principle each. The three principles fully contain the three theories and…

General Physics · Physics 2007-05-23 Christoph Schiller

Assuming the holographic principle, the gravitational force can be formulated thermodynamically as an entropic force, but the mechanism by which the attraction between two masses occurs is not clear. The physical basis for the holographic…

General Physics · Physics 2010-10-13 Arnold Stein

Discovered as an apparent pattern, a universal relation between geometry and information called the holographic principle has yet to be explained. This relation is unfolded in the present paper. As it is demonstrated there, the origin of…

General Physics · Physics 2024-07-23 Arkady Bolotin

The holographic principle, considered in a semiclassical setting, is shown to have direct consequences on physics at a fundamental level. In particular, a certain relation is pointed out to be the expression of holography in basic…

General Relativity and Quantum Cosmology · Physics 2011-02-03 Alessandro Pesci

In this work we review at an elementary level the origin, main ideas and present status of the so called holographic principle. This principle, even in the absence of a precise formulation, is seen by many people as a major clue for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Antonio Dobado

After a pedagogical overview of the present status of High-Energy Physics, some problems concerning physics at the Planck scale are formulated, and an introduction is given to a notion that became known as ``the holographic principle" in…

High Energy Physics - Theory · Physics 2017-08-23 Gerard 't Hooft

There are at least two ways to deduce Einstein's field equations from the principle of maximum force $c^4/4G$ or from the equivalent principle of maximum power $c^5/4G$. Tests in gravitational wave astronomy, cosmology, and numerical…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Arun Kenath , Christoph Schiller , C. Sivaram

We discuss the meaning of the strong equivalence principle when applied to a quantum field theory. We show that, because of unitary inequivalence of accelerated frames, the only way for the equivalence principle to apply exactly is to add a…

General Relativity and Quantum Cosmology · Physics 2015-07-28 Giorgio Torrieri

A cosmological version of the holographic principle is proposed. Various consequences are discussed including bounds on equation of state and the requirement that the universe be infinite.

High Energy Physics - Theory · Physics 2007-05-23 W. Fischler , L. Susskind

The theorem like Pontryagin's maximum principle for multiple integrals is proved. Unlike the usual maximum principle, the maximum should be taken not over all matrices, but only on matrices of rank one. Examples are given.

Optimization and Control · Mathematics 2016-10-27 Zelikin Mikhail

It is likely that the holographic principle will be a consequence of the would be theory of quantum gravity. Thus, it is interesting to try to go in the opposite direction: can the holographic principle fix the gravitational interaction? It…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Canfora , G. Vilasi

Based on an analysis of the entropy associated to the vacuum quantum fluctuations, we show that the holographic principle, applied to the cosmic scale, constitutes a possible explanation for the observed value of the cosmological constant,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Saulo Carneiro

It is shown that the resurrection axiom and the maximality principle may be consistently combined for various iterable forcing classes. The extent to which resurrection and maximality overlap is explored via the local maximality principle.

Logic · Mathematics 2023-06-22 Kaethe Minden

According to the holographic principle, the maximum amount of information stored in a region of space scales as the area of its two-dimensional surface, like a hologram. We show that the holographic principle can be understood heuristically…

General Relativity and Quantum Cosmology · Physics 2016-10-21 Y. Jack Ng

It was recently suggested that quantum mechanics and gravity are not fundamental but emerge from information loss at causal horizons. On the basis of the formalism the holographic principle is also shown to arise naturally from the loss of…

High Energy Physics - Theory · Physics 2011-08-02 Jae-Weon Lee

We review the different proposals which have so far been made for the holographic principle and the related entropy bounds and classify them into the strong, null and weak forms. These are analyzed, with the aim of discovering which may…

High Energy Physics - Theory · Physics 2009-10-31 Lee Smolin

Holographic principle states that the maximum entropy of a system is its boundary area in Planck units. However, such a holographic entropy cannot be realized by the conventional quantum field theory. We need a new microscopic theory which…

General Relativity and Quantum Cosmology · Physics 2017-11-21 Yong Xiao

In this paper, we get the holographic equipartition form the first order formulism, that is, the connection and its conjugate momentum are considered to be the canonical variables. The final results have similar structure as those from the…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Jingbo Wang
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