The holographic principle

The holographic principle

29 Jun 2002 | Raphael Bousso
The holographic principle, as discussed by Raphael Bousso, suggests that the information content of spacetime regions is limited by the area of their boundaries, with a bound of approximately 1.4 × 10^69 bits per square meter. This principle is rooted in quantum properties of black holes and has been supported by developments in black hole thermodynamics and entropy bounds. The spherical entropy bound, derived from black hole thermodynamics, states that the entropy of a matter system is limited by the area of a surrounding sphere. However, this bound is not universally valid, as it fails in various physical systems. The covariant entropy bound, introduced by Bousso, generalizes this idea, stating that the entropy on any light-sheet of a surface does not exceed the area of that surface. Light-sheets are defined by light rays orthogonal to the surface, and their termination is determined by the focusing of light due to entropy. The covariant entropy bound is tested in various scenarios, including cosmological and gravitational collapse cases, and is shown to hold in these contexts. The holographic principle, which posits that the information content of a region is proportional to the area of its boundary, is considered a fundamental principle in quantum gravity. It challenges conventional notions of locality and suggests that quantum-mechanical unitarity is preserved. The principle has implications for string theory and the AdS/CFT correspondence, and its validity is supported by the covariant entropy bound. Despite its challenges, the holographic principle remains a key concept in understanding the relationship between geometry and information in quantum gravity.The holographic principle, as discussed by Raphael Bousso, suggests that the information content of spacetime regions is limited by the area of their boundaries, with a bound of approximately 1.4 × 10^69 bits per square meter. This principle is rooted in quantum properties of black holes and has been supported by developments in black hole thermodynamics and entropy bounds. The spherical entropy bound, derived from black hole thermodynamics, states that the entropy of a matter system is limited by the area of a surrounding sphere. However, this bound is not universally valid, as it fails in various physical systems. The covariant entropy bound, introduced by Bousso, generalizes this idea, stating that the entropy on any light-sheet of a surface does not exceed the area of that surface. Light-sheets are defined by light rays orthogonal to the surface, and their termination is determined by the focusing of light due to entropy. The covariant entropy bound is tested in various scenarios, including cosmological and gravitational collapse cases, and is shown to hold in these contexts. The holographic principle, which posits that the information content of a region is proportional to the area of its boundary, is considered a fundamental principle in quantum gravity. It challenges conventional notions of locality and suggests that quantum-mechanical unitarity is preserved. The principle has implications for string theory and the AdS/CFT correspondence, and its validity is supported by the covariant entropy bound. Despite its challenges, the holographic principle remains a key concept in understanding the relationship between geometry and information in quantum gravity.
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