Physics:Quantum Holographic principle

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Holographic principle: information in a volume encoded on its boundary surface.

Origin

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:

S∝A.

This suggests that the fundamental degrees of freedom of a region scale with its boundary, not its interior.[1]

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:

S≤kc3A4Gℏ.

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

Core pathway

  1. Physics:Quantum basics
  2. Physics:Quantum mechanics
  3. Physics:Quantum Mathematical Foundations of Quantum_Theory
  4. Physics:Quantum Interpretations of quantum mechanics
  5. Physics:Quantum Atomic structure and spectroscopy
  6. Physics:Quantum Open quantum systems
  7. Physics:Quantum Statistical mechanics
  8. Physics:Quantum Kinetic theory
  9. Physics:Plasma physics (fusion context)
  10. Physics:Tokamak physics
  11. Physics:Tokamak edge physics and recycling asymmetries

Full contents

    Foundations

  1. Physics:Quantum basics
  2. Physics:Quantum mechanics
  3. Physics:Quantum mechanics measurements
  4. Physics:Quantum Mathematical Foundations of Quantum_Theory

    5. Conceptual and interpretations

  5. Physics:Quantum Interpretations of quantum mechanics
  6. Physics:Quantum A Spooky Action at a Distance
  7. Physics:Quantum A Walk Through the Universe
  8. Physics:Quantum: The Secret of Cohesion: How Waves Hold Matter Together

    9. Mathematical structure and systems

  9. Physics:Quantum Exactly solvable quantum systems
  10. Physics:Quantum Formulas Collection
  11. Physics:Quantum A Matter Of Size
  12. Physics:Quantum Symmetry in quantum mechanics
  13. Physics:Quantum Angular momentum operator
  14. Physics:Runge–Lenz vector
  15. Physics:Quantum Matter Elements and Particles

    16. Atomic and spectroscopy

  16. Physics:Quantum Atomic structure and spectroscopy

    17. Wavefunctions and modes

  17. Physics:Number of independent spatial modes in a spherical volume

    18. Quantum information and computing

  18. Physics:Quantum information theory
  19. Physics:Quantum Computing Algorithms in the NISQ Era
  20. Physics:Quantum_Noisy_Qubits

    21. Quantum optics and experiments

  21. Physics:Quantum Nonlinear King plot anomaly in calcium isotope spectroscopy
  22. Physics:Quantum optics beam splitter experiments
  23. Physics:Quantum Ultra fast lasers
  24. Physics:Quantum Experimental quantum physics
  25. Template Quantum optics operators

    26. Open quantum systems

  26. Physics:Quantum Open quantum systems

    27. Quantum field theory

  27. Physics:Quantum field theory (QFT) basics

    28. Statistical mechanics and kinetic theory

  28. Physics:Quantum Statistical mechanics
  29. Physics:Quantum Kinetic theory

    30. Plasma and fusion physics

  30. Physics:Plasma physics (fusion context)
  31. Physics:Tokamak physics
  32. Physics:Tokamak edge physics and recycling asymmetries
    • Hierarchy of modern physics models showing the progression from quantum statistical mechanics to kinetic theory and plasma physics, culminating in tokamak edge transport and recycling asymmetries.

    Timeline

  33. Physics:Quantum mechanics/Timeline
  34. Physics:Quantum_mechanics/Timeline/Quiz/

    35. Advanced and frontier topics

  35. Physics:Quantum Supersymmetry
  36. Physics:Quantum Black hole thermodynamics
  37. Physics:Quantum Holographic principle
  38. Physics:Quantum gravity
  39. Physics:Quantum De Sitter invariant special relativity
  40. Physics:Quantum Doubly special relativity

References

  1. ↑ Susskind, Leonard (1995). "The World as a Hologram". Journal of Mathematical Physics. 
  2. ↑ Maldacena, Juan (1998). "The Large N Limit of Superconformal Field Theories and Supergravity". Advances in Theoretical and Mathematical Physics. 


Author: Harold Foppele





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