Flat space physics from holography

Abstract

We point out that aspects of quantum mechanics can be derived from the holographic principle, using only a perturbative limit of classical general relativity. In flat space, the covariant entropy bound reduces to the Bekenstein bound. The latter does not contain Newton's constant and cannot operate via gravitational backreaction. Instead, it is protected by - and in this sense, predicts - the Heisenberg uncertainty principle.

11 pages, 3 figures; v2: minor corrections

References in corpus (4)

• Simple sufficient conditions for the generalized covariant entropy bound
• Light-sheets and Bekenstein's bound
• Bound states and the Bekenstein bound
• Harmonic resolution as a holographic quantum number

Cited by in corpus (6)

• Hawking Radiation and Black Hole Thermodynamics
• Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
• Deformed Density Matrix and Quantum Entropy of the Black Hole
• A proof of the Bekenstein bound for any strength of gravity through holography
• Anomalous anomalies from virtual black holes
• On Entropy Bounds and Holography