Preprint Article Version 1 This version is not peer-reviewed

Nonlocal Inverse Square Law in Quantum Dynamics

Version 1 : Received: 1 July 2018 / Approved: 4 July 2018 / Online: 4 July 2018 (09:35:19 CEST)

How to cite: Granot, E. Nonlocal Inverse Square Law in Quantum Dynamics. Preprints 2018, 2018070064 (doi: 10.20944/preprints201807.0064.v1). Granot, E. Nonlocal Inverse Square Law in Quantum Dynamics. Preprints 2018, 2018070064 (doi: 10.20944/preprints201807.0064.v1).

Abstract

Schrödinger dynamics is a nonlocal process. Not only does local perturbation affect instantaneously the entire space, but the effect decays slowly. When the wavefunction is spectrally bounded, the Schrödinger equation can be written as a universal set of ordinary differential equations, with universal coupling between them, which is related to Euler’s formula. Since every variable represents a different local value of the wave equation, the coupling represents the dynamics’ nonlocality. It is shown that the nonlocal coefficient is inversely proportional to the distance between the centers of these local areas. As far as we know, this is the first time that this inverse square law was formulated.

Subject Areas

quantum nonlocality; quantum decoding; inverse square law; Euler Formula; quantum causality

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