Wave-particle duality in general relativity
摘要
In this paper a one to one correspondence is established between space-time metrics of general relativity and the wave equations of quantum mechanics. This is done by first taking the square root of the metric associated with a space and from there, passing directly to a corresponding expression in the dual space. It is shown that in the case of a massless particle, Maxwell's equation for a photon follows while in the case of a particle with mass, Dirac's equation results as a first approximation. Moreover, this one to one correspondence suggests a natural explanation of wave-particle duality. As a consequence, the distinction between quantum mechanics and classical relativistic mechanics is more clearly understood and the key role of initial conditions is emphasized. PACS NUMBERS: 03.65, 04.60
关键词
引用
@article{arxiv.gr-qc/9701034,
title = {Wave-particle duality in general relativity},
author = {Paul O'Hara},
journal= {arXiv preprint arXiv:gr-qc/9701034},
year = {2015}
}
备注
11 pages, AMSTEX