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

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, c₂, determined by the experimental speed of light c₁ 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 c₂ 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 c₁ or c₂. Our framework indicates that for low values of V, c₂ is less than c₁, 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 (ε₀₂) and permeability (μ₀₂), would be constrained by the relation ${\epsilon }_{02}{\mu }_{02}=1/c_2^2$ . This exploration is presented as a theoretical inquiry into the implications of the algebraic structure of relativistic energy-momentum relations.