Motor Theory and Quantum Experiments: Predictions for Interference , Entanglement, and Coherence

In this work,we investigate the predictions of the motor theory for quantumexperiments. It is shown that the motor number n and the motor phase θ = µ/Rµintroduce an additional dynamical parameter into the wave function of a particle,leading to modications of the interference pattern and the appearance of new cor-relations in entangled states. We derive the formula for the additional phase shiftin an interferometer: ∆ϕmot = ∆nR·µ∆µ · mEc2 , where ∆n is the dierence in motornumbers in the two arms,∆µ is the dierence in eective motor paths, and E is theparticle energy. Numerical estimates are given: for neutrons with energy 1 eV, L ∼ 1m,∆n = 1, Rµ ∼ 10−18 m, Φ0 ∼ 1, and a realistic radion gradient ∇Φ/Φ ∼ 10−17m−1,we obtain ∆ϕmot ∼ 10−11 rad, which is at the sensitivity limit of moderninterferometers. Specic experimental schemes are proposed (time-of-ight modu-lated interferometer,optical experiments with entangled photons, and high-precisionatom interferometers) to test