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A Probe of Micro Space-Time by the Study of Scalar Fields
Version 1
: Received: 6 October 2020 / Approved: 6 October 2020 / Online: 6 October 2020 (15:50:53 CEST)
How to cite: Deng, J.-B.; Deng, M.-Y.; Fan, Q.-Q.; He, P.-Z. A Probe of Micro Space-Time by the Study of Scalar Fields. Preprints 2020, 2020100137 Deng, J.-B.; Deng, M.-Y.; Fan, Q.-Q.; He, P.-Z. A Probe of Micro Space-Time by the Study of Scalar Fields. Preprints 2020, 2020100137
Abstract
In this work, we try to find a way to describe the physical law of micro-world under the frame of a space-time theory. By introducing the scalar fields $\mathcal{D}\left( x\right)$ and $\zeta\left( x\right) $, we rewrite the action of conventional field theory and the Lagrangian describing the motion of the particle, where a modified space-time relation is obtained. To test the correctness of this attempt, we demonstrate the Klein-Gordon equation by the Hamilton-Jacobi method in four dimensional form and present a time delay for the ground state of hydrogen atom.
Keywords
general relativity; scalar field; variational principle
Subject
Physical Sciences, Acoustics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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