Physics:Quantum Holographic principle
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.[1]
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.[2]
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.
See also
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