The geometry of spacetime with superluminal phenomena
T. Matolcsi, W. A. Rodrigues Jr
TL;DR
This paper proposes a spacetime geometry model that coherently incorporates superluminal phenomena within the framework of relativity, reconciling faster-than-light solutions with established physics.
Contribution
It introduces a novel spacetime model that accommodates superluminal wave solutions while remaining consistent with relativity theory.
Findings
Existence of solutions with arbitrary speeds in relativistic wave equations
Experimental confirmation of superluminal sound wave phenomena
A spacetime model that describes superluminal phenomena without paradoxes
Abstract
Recent theoretical results show the existence of arbitrary speeds (0 <= v < \infty) solutions of all relativistic wave equations. Some recent experiments confirm the results for sound waves. The question arises naturally: What is the appropriate geometry of spacetime to describe superluminal phenomena? In this paper we present a spacetime model that incorporates the valid results of Relativity Theory and yet describes coherently superluminal phenomena without paradoxes.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Advanced Topics in Algebra · Algebraic and Geometric Analysis