Metric fluctuations and the weak equivalence principle

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

Dark-matter-induced violation of the weak equivalence principle.

A long-range fifth force coupled to dark matter can induce a coupling to ordinary matter if the dark matter interacts with standard model fields. We consider constraints on such a scenario from both astrophysical observations and laboratory experiments. We also examine the case where the dark matter is a weakly interacting massive particle, and derive relations between the coupling to dark matt...

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.

Weak Uncertainty Principle for Fractals, Graphs and Metric Measure Spaces

We develop a new approach to formulate and prove the weak uncertainty inequality, which was recently introduced by Okoudjou and Strichartz. We assume either an appropriate measure growth condition with respect to the effective resistance metric, or, in the absence of such a metric, we assume the Poincaré inequality and reverse volume doubling property. We also consider the weak uncertainty ineq...