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Bibliographic Details
Main Author: Konishi, Eiji
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.07594
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author Konishi, Eiji
author_facet Konishi, Eiji
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_07594
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The weak equivalence principle and the Dirac constant: A result from the holographic principle
Konishi, Eiji
General Physics
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.
title The weak equivalence principle and the Dirac constant: A result from the holographic principle
topic General Physics
url https://arxiv.org/abs/2501.07594