Expanded theory of relativity: Demonstrating wave-particle duality as an integral part of relativity theory
Year: 2025
Type: preprint
Abstract: We propose a geometric extension of spacetime in which time is a three–vector whose local orientation is encoded by a quaternionic rotor \(R(x)=\exp(Q(x))\). Within a six–dimensional Clifford framework, block–boost consistency fixes the temporal signature and projects to the standard Lorentz interval when the rotor sector is frozen (\(Q=0\)). Demanding advection of the rotor along worldlines yields a universal first–order, Dirac–like field equation
Author: J. Manuel Oliveira
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4415124181
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