Entropy Bounds and the Holographic Principle

2013 ◽  
Author(s):  
R. BOUSSO
Keyword(s):  
Holographic Principle ◽  
Entropy Bounds

scholarly journals Entropy Bounds: New Insights

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 126
Author(s):  
Lawrence Paul Horwitz ◽  
Vishnu S. Namboothiri ◽  
Gautham Varma K ◽  
Asher Yahalom ◽  
Yosef Strauss ◽  
...  
Keyword(s):  
Holographic Principle ◽  
Entropy Bounds ◽  
Logarithmic Distance

In this paper we review the fundamental concepts of entropy bounds put forward by Bousso and its relation to the holographic principle. We relate covariant entropy with logarithmic distance of separation of nearby geodesics. We also give sufficient arguments to show that the origin of entropy bounds is not indeed thermodynamic, but statistical.

scholarly journals Entropy Bounds, Holographic Principle and Uncertainty Relation

Entropy ◽  
2001 ◽  
Vol 3 (2) ◽  
pp. 66-75 ◽  
Author(s):  
M. Ivanov ◽  
I. Volovich
Keyword(s):  
Uncertainty Relation ◽  
Holographic Principle ◽  
Entropy Bounds

A Conformal OAM Metasurface Antenna Based On Holographic Principle

2020 ◽  
Author(s):  
Xiaokui Ren ◽  
Li Deng ◽  
Chen Zhang ◽  
Botao Feng
Keyword(s):  
Holographic Principle

Saturation of the Holographic Principle for Spatially Closed Cosmological Models

2008 ◽  
Vol 30 ◽  
pp. 367-371
Author(s):  
P. Diaz ◽  
M.A. Per ◽  
A. Segui
Keyword(s):  
Cosmological Models ◽  
Holographic Principle

scholarly journals Holographic Principle and the Surface of Last Scatter

2010 ◽  
Vol 259 ◽  
pp. 012015 ◽  
Author(s):  
Paul H Frampton
Keyword(s):  
Holographic Principle

scholarly journals Entropy Bounds in R×S3 Geometries

2002 ◽  
Vol 302 (2) ◽  
pp. 120-141 ◽  
Author(s):  
Iver Brevik ◽  
Kimball A. Milton ◽  
Sergei D. Odintsov
Keyword(s):  
Entropy Bounds

scholarly journals Kodama Time, Entropy Bounds, the Raychaudhuri  Equation, and the Quantum Interest Conjecture

2021 ◽  
Author(s):  
◽  
Gabriel Abreu
Keyword(s):  
General Relativity ◽  
Coordinate System ◽  
Negative Energy ◽  
Specific Form ◽  
Einstein Equations ◽  
Surface Gravity ◽  
Quantum Field ◽  
Raychaudhuri Equation ◽  
Dimensional Minkowski Space ◽  
Entropy Bounds

<p>General Relativity, while ultimately based on the Einstein equations, also allows one to quantitatively study some aspects of the theory without explicitly solving the Einstein equations. These geometrical notions of the theory provide an insight to the nature of more general spacetimes. In this thesis, the Raychaudhuri equation, the choice of the coordinate system, the notions of surface gravity and of entropy, and restrictions on negative energy densities on the form of the Quantum Interest Conjecture, will be discussed. First, using the Kodama vector, a geometrically preferred coordinate system is built. With this coordinate system the usual quantities, such as the Riemann and Einstein tensors, are calculated. Then, the notion of surface gravity is generalized in two different ways. The first generalization is developed considering radial ingoing and outgoing null geodesics, in situations of spherical symmetry. The other generalized surface gravity is a three-vector obtained from the spatial components of the redshifted four acceleration of a suitable set of fiducial observers. This vectorial surface gravity is then used to place a bound on the entropy of both static and rotating horizonless objects. This bound is obtain mostly by classical calculations, with a minimum use of quantum field theory in curved spacetime. Additionally, several improved versions of the Raychaudhuri equation are developed and used in different scenarios, including a two congruence generalization of the equation. Ultimately semiclassical quantum general relativity is studied in the specific form of the Quantum Inequalities, and the Quantum Interest Conjecture. A variational proof of a version of the Quantum Interest Conjecture in (3 + 1)–dimensional Minkowski space is provided.</p>

scholarly journals Kodama Time, Entropy Bounds, the Raychaudhuri  Equation, and the Quantum Interest Conjecture

2021 ◽  
Author(s):  
◽  
Gabriel Abreu
Keyword(s):  
General Relativity ◽  
Coordinate System ◽  
Negative Energy ◽  
Specific Form ◽  
Einstein Equations ◽  
Surface Gravity ◽  
Quantum Field ◽  
Raychaudhuri Equation ◽  
Dimensional Minkowski Space ◽  
Entropy Bounds

<p>General Relativity, while ultimately based on the Einstein equations, also allows one to quantitatively study some aspects of the theory without explicitly solving the Einstein equations. These geometrical notions of the theory provide an insight to the nature of more general spacetimes. In this thesis, the Raychaudhuri equation, the choice of the coordinate system, the notions of surface gravity and of entropy, and restrictions on negative energy densities on the form of the Quantum Interest Conjecture, will be discussed. First, using the Kodama vector, a geometrically preferred coordinate system is built. With this coordinate system the usual quantities, such as the Riemann and Einstein tensors, are calculated. Then, the notion of surface gravity is generalized in two different ways. The first generalization is developed considering radial ingoing and outgoing null geodesics, in situations of spherical symmetry. The other generalized surface gravity is a three-vector obtained from the spatial components of the redshifted four acceleration of a suitable set of fiducial observers. This vectorial surface gravity is then used to place a bound on the entropy of both static and rotating horizonless objects. This bound is obtain mostly by classical calculations, with a minimum use of quantum field theory in curved spacetime. Additionally, several improved versions of the Raychaudhuri equation are developed and used in different scenarios, including a two congruence generalization of the equation. Ultimately semiclassical quantum general relativity is studied in the specific form of the Quantum Inequalities, and the Quantum Interest Conjecture. A variational proof of a version of the Quantum Interest Conjecture in (3 + 1)–dimensional Minkowski space is provided.</p>

Lemaître dark energy model singled out by the holographic principle

2017 ◽  
Vol 23 (1) ◽  
pp. 28-34 ◽  
Author(s):  
I. Dymnikova ◽  
A. Dobosz ◽  
B. Sołtysek
Keyword(s):  
Dark Energy ◽  
Dark Energy Model ◽  
Energy Model ◽  
Holographic Principle

scholarly journals Entropy bounds for uncollapsed matter

2011 ◽  
Vol 314 ◽  
pp. 012035 ◽  
Author(s):  
Gabriel Abreu ◽  
Matt Visser
Keyword(s):  
Entropy Bounds
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