Spatial Directions, Anisotropy and Special Relativity
Marco Mamone-Capria
TL;DR
This paper explores the concept of spatial directions in special relativity, classifies theories with light-speed isotropy and a privileged direction, and proposes experimental tests for spatial isotropy.
Contribution
It introduces a natural generalization of the proper time principle enabling experimental tests of spatial isotropy and clarifies misconceptions in relativistic literature.
Findings
Classified theories with light-speed isotropy and privileged directions.
Proposed experimental tests for spatial isotropy.
Clarified misunderstandings about spatial isotropy in relativity.
Abstract
The concept of an objective spatial direction in special relativity is investigated and theories assuming light-speed isotropy while accepting the existence of a privileged spatial direction are classified. A natural generalization of the proper time principle is introduced which makes it possible to devise experimental tests of spatial isotropy. Several common misunderstandings in the relativistic literature concerning the role of spatial isotropy are clarified.
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