The Tenson Mathematical Equation: A Unified Tensor Framework for Number Theory

This paper provides a rigorous tensor-based reformulation of number theory. We in- troduce the Tenson Mathematical Equation, uniting the ABC Conjecture, the Riemann Hypothesis, and the probabilistic geometry of primes under a single conservation principle between energy (E) and information (I) tensors. Each conjecture is reinterpreted as a state- ment about tensor equilibrium or informational resonance. Proof outlines and derivations are provided to demonstrate consistency with existing theorems and asymptotic behaviors. Philosophical implications are discussed regarding the unity of mathematical existence as a field of informational resonance.