Three Different Formalisations of Einstein's Relativity Principle

Abstract

We present three natural but distinct formalisations of Einstein's special principle of relativity, and demonstrate the relationships between them. In particular, we prove that they are logically distinct, but that they can be made equivalent by introducing a small number of additional, intuitively acceptable axioms.

20 pages

References in corpus (4)

• Getting the Lorentz transformations without requiring an invariant speed
• Why Do the Relativistic Masses and Momenta of Faster-than-Light Particles Decrease as their Speeds Increase?
• Faster than light motion does not imply time travel
• The Existence of Superluminal Particles is Consistent with Relativistic Dynamics

Cited by in corpus (1)

• Groups of Worldview Transformations Implied by Einstein's Special Principle of Relativity over Arbitrary Ordered Fields