The Theory of Entropicity (ToE) Derives Einstein's Relativistic Speed of Light (c) as a Function of the Entropic Field: ToE Applies Logical Entropic Concepts and Principles to Derive Einstein’s Second Postulate

This paper establishes that Einstein’s relativistic speed of light, c, is not a postulate but a derived necessity of the universal entropic field as formulated in the Theory of Entropicity (ToE). Entropy is redefined as a dynamic field that governs both the irreversible arrow of time and the maximum rate of causal propagation. By analyzing the Master Entropic Equation (MEE) and its linearized dynamics, we demonstrate that entropic disturbances propagate along the null cone of spacetime with characteristic speed c. Relativistic effects such as time dilation, length contraction, and mass increase emerge as entropic resistances to motion, while the No–Rush Theorem forbids superluminal processes by requiring the entropic field to establish conditions before interactions occur. Quantum phenomena, including finite entanglement delays and wavefunction collapse, are likewise constrained by this entropic propagation limit. Furthermore, Einstein’s field equations can be reinterpreted as emergent entropic geometry, where curvature encodes the constraints imposed by entropy. Thus, ToE unifies thermodynamics, relativity, and quantum mechanics by deriving the constancy of c as a thermodynamic consequence of entropy’s universal governance.