General Relativity and Quantum Mechanics in Five Dimensions
Paul S. Wesson
TL;DR
This paper explores how five-dimensional spacetime can unify general relativity and quantum mechanics by deriving quantum behavior from 5D geodesics and metric modulation.
Contribution
It demonstrates a novel approach where 5D geometry naturally leads to quantum equations like Klein-Gordon, suggesting a geometric unification of physics.
Findings
Derivation of 4D Klein-Gordon equation from 5D geodesics
Metric modulation corresponds to quantum wave function
Unified framework for gravity and quantum mechanics in 5D
Abstract
In 5D, I take the metric in canonical form and define causality by null-paths. Then spacetime is modulated by a factor equivalent to the wave function, and the 5D geodesic equation gives the 4D Klein-Gordon equation. These results effectively show how general relativity and quantum mechanics may be unified in 5D.
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