Physics:Quantum Holographic principle: Difference between revisions
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The holographic principle was motivated by the discovery that black hole entropy is proportional to the area of the event horizon rather than the volume: | '''Holographic principle''' this suggests that the fundamental degrees of freedom of a region scale with its boundary, not its interior. The holographic principle was motivated by the discovery that black hole entropy is proportional to the area of the event horizon rather than the volume: This suggests that the fundamental degrees of freedom of a region scale with its boundary, not its interior. The principle states that a physical theory in a volume can be equivalently described by a theory defined on its boundary. This is analogous to a hologram, where a two-dimensional surface encodes a three-dimensional image. In this sense, spacetime itself may be an emergent phenomenon. | ||
This suggests that the fundamental degrees of freedom of a region scale with its boundary, not its interior. | |||
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Latest revision as of 11:34, 22 May 2026
Holographic principle this suggests that the fundamental degrees of freedom of a region scale with its boundary, not its interior. The holographic principle was motivated by the discovery that black hole entropy is proportional to the area of the event horizon rather than the volume: This suggests that the fundamental degrees of freedom of a region scale with its boundary, not its interior. The principle states that a physical theory in a volume can be equivalently described by a theory defined on its boundary. This is analogous to a hologram, where a two-dimensional surface encodes a three-dimensional image. In this sense, spacetime itself may be an emergent phenomenon.
Origin
Basic idea
The principle states that a physical theory in a volume can be equivalently described by a theory defined on its boundary.
This is analogous to a hologram, where a two-dimensional surface encodes a three-dimensional image.
In this sense, spacetime itself may be an emergent phenomenon.
AdS/CFT correspondence
The most concrete realization of the holographic principle is the AdS/CFT correspondence.
It states that:
- a gravitational theory in anti-de Sitter (AdS) space
- is equivalent to a conformal field theory (CFT) on its boundary
This duality provides a powerful tool for studying quantum gravity and strongly interacting systems.[1]
Information and entropy
The holographic principle implies that the maximum entropy in a region is bounded by its surface area:
This bound is known as the Bekenstein bound.
It places a fundamental limit on the amount of information that can be stored in a given region of space.
Physical significance
The holographic principle:
- suggests spacetime may be emergent,
- connects gravity with quantum information,
- provides insight into black hole physics,
- plays a central role in modern quantum gravity.
Description
Holographic principle is a matter-scale concept used to organize how quantum theory describes atoms, particles, fields, condensed matter, plasma, or spacetime-related systems. In the Quantum Collection it is placed by scale so the reader can move from materials and molecules down to subatomic degrees of freedom.
Quantum context
At this scale, the relevant behavior is controlled by quantized states, interactions, conservation laws, and the way excitations or particles are observed. The concept is normally linked to measurable properties such as energy, momentum, charge, spin, spectra, scattering rates, or collective modes.
Role in the collection
This page provides a compact reference point for related pages in Book II. It should be read together with nearby matter-scale topics and the corresponding foundations in quantum mechanics.[2]
See also
Table of contents (217 articles)
Index
Full contents
References
- ↑ Maldacena, Juan (1998). "The Large N Limit of Superconformal Field Theories and Supergravity". Advances in Theoretical and Mathematical Physics.
- ↑ "Quantum mechanics". https://en.wikipedia.org/wiki/Quantum_mechanics.
Source attribution: Physics:Quantum Holographic principle
