Wave Mechanics and the Fifth Dimension
Paul S. Wesson, James M. Overduin
TL;DR
This paper explores how extending spacetime to five dimensions clarifies wave mechanics features like wave functions and de Broglie wave velocities, suggesting new ways to test their fundamental nature.
Contribution
It introduces a 5D canonical space framework that simplifies derivations of wave mechanics and proposes experimental tests to distinguish 4D versus 5D wave phenomena.
Findings
Derivation of wave function from 5D space
Clarification of de Broglie wave velocity
Proposed tests for wave-particle duality nature
Abstract
Replacing 4D Minkowski space by 5D canonical space leads to a clearer derivation of the main features of wave mechanics, including the wave function and the velocity of de Broglie waves. Recent tests of wave-particle duality could be adapted to investigate whether de Broglie waves are basically 4D or 5D in nature.
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Taxonomy
TopicsGeophysics and Gravity Measurements · Relativity and Gravitational Theory