A holographic map of action onto entropy

Details A holographic map of action onto entropy A holographic map of action onto entropy

2011-12-19

arxiv.org/abs/1112.4353v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. arXiv admin note: substantial text overlap with arXiv:1107.1898

Scientific paper

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.

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