The Holographic principle
By R. Bousso. 2002
1,681 citations recorded by the source corpus.
There is strong evidence that the area of any surface limits the information content of adjacent spacetime regions, at $1.4\ifmmode\times\else\texttimes\fi{}{10}^{69}$ bits per square meter. This article reviews the developments that have led to the recognition of this entropy bound, placing special emphasis on the quantum properties of black holes. The construction of light sheets, which associate relevant spacetime regions to any given surface, is discussed in detail. This article explains how the bound is tested, and its validity is demonstrated in a wide range of examples. A universal relation between geometry and information is thus uncovered. It has yet to be explained. The holographic principle asserts that its origin must lie in the number of fundamental degrees of freedom involved in a unified description of spacetime and matter. It must be manifest in an underlying quantum theory of gravity. This article surveys some successes and challenges in implementing the holographic principle.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/f368defc9bd19206b70fbf044a1df5a35a7def2b
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Citations in the corpus
- Cosmology and the S matrix (2004, background): “It is further complicated, but perhaps also helpfully constrained, by the counter-intuitive holographic restriction on bulk degrees of freedom [1, 2, 3, 7, 8, 9, 10, 11].”
- Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “The clue comes from the holographic principle [267,268] (for a review, see [269]), which says that a theory of quantum gravity in a region of space should be described by a non-gravitational theory living at the boundary of that region.”
- Large N BPS states and emergent quantum gravity (2005, background): “The most covariant bounds one can write are given by the study of light sheets in the geometry by Bousso [ 6 ].”
- The trouble with de Sitter space (2002, background): “Bousso, Nemanja Kaloper, Andy Albrecht, Simeon Hellerman, Steve Shenker, and especially Ben Freivogel.”
- Static patch solipsism: conformal symmetry of the de Sitter worldline (2011, background): “It may also connect the perspective of the solipsistic observer with ideas associated with complementarity in de Sitter space [28].”
- Gravity and the Thermodynamics of Horizons (2003, background): “The area scaling of entropy has also led to different proposals of holographic bounds [see, e.g. Bousso (2002)] which is beyond the scope of this review.”
- Jerusalem Lectures on Black Holes and Quantum Information (2014, background): “3) as stated has several problems [73], but a more general covariant version of it [79, 80] has survived many quantitative tests and been proven to hold in a wide variety of classical and semiclassical situations [81–84].”
- A covariant holographic entanglement entropy proposal (2007, methodology): “We argued that our covariant proposal can be derived naturally using the light-sheet construction and thus is closely related to the covariant entropy bound (Bousso bound) [35].”
- Cosmological and Solar System Consequences of f(R,T) Gravity Models (2014, background): “Other theories of this type are loop quantum gravity/cosmology [6–8], theories based on the Ads/CFT correspondence [9, 10] and the holographic gravity/cosmology [11, 12].”
- Fencing in the swampland: quantum gravity constraints on large field inflation (2015, background): “We can look for conflict with CEB in models with large decay constants as well.”