Wave-particle duality in general relativity
arXiv:gr-qc/9701034 · doi:10.1007/BF02749012
Abstract
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
11 pages, AMSTEX
Cited by in corpus (6)
- The transition from ontic potentiality to actualization of states in quantum mechanical approach to reality: The Proof of a Mathematical Theorem to Support It
- Quantum Mechanics and the Metrics of General Relativity
- On some detailed examples of quantum like structures containing quantum potential states in the sphere of biological dynamics
- Exact Solution of a Linear Wave Equation in Cosmological General Relativity
- Quantized Intrinsic Redshift in Cosmological General Relativity
- Wave-particle duality and the zitterbewegung