The weak equivalence principle and the Dirac constant: A result from the holographic principle

Abstract

In this article, based on a recent formularization of the holographic principle proposed and investigated by the present author, we show that the weak equivalence principle in general relativity is equivalent to the equivalence between two forms of the Dirac constant, that is, the action of the spin degree of freedom in the two-dimensional Hilbert space and the lower bound in the quantum mechanical uncertainty relations. This result follows from an equation between the Euclidean and Lorentzian world-line actions of a massive particle divided by the Dirac constant, via the Wick rotation, by using the Euclidean and Lorentzian actions of a holographic tensor network, whose quantum state is classicalized by introducing the superselection rule.

arXiv comment3 pages, revtex

References in corpus (8)

• Large N Field Theories, String Theory and Gravity
• The World as a Hologram
• The holographic principle
• Reference frames, superselection rules, and quantum information
• Entanglement Renormalization and Holography
• Consistency Conditions for an AdS/MERA Correspondence
• Tensor Network and Black Hole
• Holographic Interpretation of Shannon Entropy of Coherence of Quantum Pure States