Goldbach’s Strong Conjecture—the premise that every even integer greater than 2 can be expressed as the sum of two prime numbers—remains one of the most enduring mysteries in mathematics. Traditional pure arithmetic lacks a theoretical framework strong enough to bridge the multiplicative distribution of primes with their additive properties. To address this, I propose a novel heuristic framework. By analyzing the problem through the lens of multi-dimensional complex vector states and convolution, I have developed a physicalmathematical model that maps prime particles to continuous mathematical spaces. In this paper, I elevate this conceptual model to a rigorous analytic structure by introducing an SU(2) Quantum Spinor representation for prime numbers modulo 6, anchoring the additive mechanics in the Hardy-Littlewood Circle Method. I formalize the Kanse Threshold, KT (E) = K ln(E), as the strict boundary delineating Regions of High Modular Congruence (Major Arcs) from chaotic noise (Minor Arcs). Finally, I establish the Kanse Sup-Norm Bound, proving heuristically that the major arc signal perpetually dominates the system, thereby providing an analytic structural blueprint for the unconditional proof of Goldbach’s Conjecture.
Swaraj Kanse (Sun,) studied this question.