Weak equivalence principle in quantum space

Quantum Equivalence Principle

A simple mapping procedure is presented by which classical orbits and path integrals for the motion of a point particle in flat space can be transformed directly into those in curved space with torsion. Our procedure evolved from well-established methods in the theory of plastic deformations, where crystals with defects are described mathematically as images of ideal crystals under active nonho...

Metric fluctuations and the Weak Equivalence Principle

We describe space–time fluctuations by means of small fluctuations of the metric on a given background metric. From a minimally coupled Klein–Gordon equation we obtain within a weakfield approximation up to second order and an averaging procedure over a finite space–time scale given by the quantum particle in the non–relativistic limit a modified Schrödinger equation. The dominant modification ...

Dark-Matter-Induced Weak Equivalence Principle Violation

Violation of the Weak Equivalence Principle in Bekenstein’s theory

Bekenstein has shown that violation of Weak Equivalence Principle is strongly supressed in his model of charge variation. In this paper, it is shown that nuclear magnetic energy is large enough to produce observable effects in Eötvös experiments.

Quantum Mechanics from an Equivalence Principle

We show that requiring diffeomorphic equivalence for one-dimensional stationary states implies that the reduced action S0 satisfies the quantum Hamilton-Jacobi equation with the Planck constant playing the role of a covariantizing parameter. The construction shows the existence of a fundamental initial condition which is strictly related to the Möbius symmetry of the Legendre transform and to i...