This paper establishes that General Relativity and Quantum Mechanics are necessary logical consequences of the Axiom of Finite Information. We introduce a new fundamental constant, i, representing the Information Maximum Transfer Speed, and posit that i > c, where c is the speed of light in a vacuum. By substituting i into the relativistic framework, we demonstrate that the finite nature of i is the primary mechanism preventing infinite information density and logical singularities. Furthermore, we prove that a ‘Theory of Everything’ is precluded by the computational cost of self-reference, and propose the observation of Computational Redshift as a definitive empirical test for the gap between c and i.