The c-equivalence principle and its implications for physics

TL;DR

This paper explores the fundamental assumption that the inverse square root of permittivity and permeability equals the speed of light, discussing its potential falsification and implications for physics and special relativity.

Contribution

It analyzes the consequences of disproving the c-equivalence principle and proposes experiments to test the validity of this assumption.

Findings

Potential invalidation of the second hypothesis of special relativity.

Implications for the existence of the ether.

Proposed experiments to measure light speed and test the principle.

Abstract

The c-equivalence principle, commonly accepted as true by most physicists, is the unstated assumption that $1/\sqrt{\epsilon_o \mu_o}$ equals the kinematic speed of light. Should someone prove the principle false, it would render the composition of two Lorentz transformations meaningless. It would also invalidate the second hypothesis of the Special Theory of Relativity in its strong form. This paper examine some other consequences for physics, should this principle be proven false and outline some experiments to determine light speed, which could falsify the principle and provide evidence for the ether.