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 (Version 2.0)

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