A Mathematical Exploration of the Correlation between the Speeds of Light in Adjacent Universes

Abstract

From the mass-energy equivalence, the energy of a mass moving with velocity V is given by the zeroth component of its four-momentum. In this study, we re-examine this expression and demonstrate that its mathematical formalism admits an additional speed parameter, c 2 , determined by the experimental speed of light c 1 and the object’s velocity V . Under a set of speculative assumptions—specifically, that energy remains invariant for a mass transitioning between hypothetical “adjacent” universes—the presence of a second mathematical root c 2 suggests the existence of a potential alternative state. In this paper, we explore the speculative possibility that this root describes the physical constants of a coupled adjacent universe. This study explores the mathematical curiosity that the energy of a mass at velocity V is identical whether the invariant speed of the system is c 1 or c 2 . Our framework indicates that for low values of V , c 2 is less than c 1 , with the relationship reversing beyond a certain critical velocity. If this mathematical duality corresponds to a physical reality, the electromagnetic properties of such an adjacent universe, including vacuum permittivity ( ε 0 2 ) and permeability ( μ 0 2 ), would be constrained by the relation ε 02 μ 02 = 1 / c 2 2 . This exploration is presented as a theoretical inquiry into the implications of the algebraic structure of relativistic energy-momentum relations.