Masses of quantum particles as a result of diffeomorphisms
V.V. Belokurov, E.T. Shavgulidze
TL;DR
This paper derives explicit diffeomorphisms of the time variable that convert the measure of a quantum free massless particle into that of a massive one, revealing a geometric relationship between massless and massive quantum particles.
Contribution
It provides an explicit mathematical transformation linking massless and massive quantum particles through time diffeomorphisms.
Findings
Explicit form of the time diffeomorphisms derived
Shows measure transformation from massless to massive particles
Establishes a geometric interpretation of particle mass in quantum mechanics
Abstract
We present the explicit form of the diffeomorphisms of the time variable that transform the measure for quantum free massless particle into the measure for quantum free massive particle.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum and Classical Electrodynamics · Advanced Mathematical Theories and Applications