A holographic map of action onto entropy

We propose a holographic correspondence between the action integral I describing the mechanics of a finite number of degrees of freedom in the bulk, and the entropy S of the boundary (a holographic screen) enclosing that same volume. The action integral must be measured in units of (i times) Planck&...

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Bibliographic Details
Published in:Journal of physics. Conference series 2012-01, Vol.361 (1), p.12027-9, Article 012027
Main Authors: Acosta, D, Cordóba, P Fernández de, Isidro, J M, Santander, J L G
Format: Article
Language:English
Subjects:
Bolts
Boundaries
Constants
Degrees of freedom
Entropy
Holography
Integrals
Mathematical analysis
Physics
Plancks constant
Quantum mechanics
Thermodynamics
Uncertainty principles
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Summary:We propose a holographic correspondence between the action integral I describing the mechanics of a finite number of degrees of freedom in the bulk, and the entropy S of the boundary (a holographic screen) enclosing that same volume. The action integral must be measured in units of (i times) Planck's constant, while the entropy must be measured in units of Boltzmann's constant. In this way we are led to an intriguing relation between the second law of thermodynamics and the uncertainty principle of quantum mechanics.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/361/1/012027