Time-Field Symmetry and the Goldbach Structure: A Chronos-Theoretic Interpretation of Prime Pairing

This work presents a Chronos-theoretic interpretation of the Goldbach Conjecture, reframing prime pairing as a consequence of time-field symmetry rather than an isolated number-theoretic phenomenon. In the Chronos model, time acts as an energetic, structured field that shapes stability, clustering, and system evolution across scales. Primes emerge naturally as stability minima within the τ-field landscape, while even integers represent symmetric temporal states that energetically decompose into paired minima.

The resulting framework suggests that Goldbach’s structure arises from fundamental temporal symmetry laws rather than purely combinatorial behavior. This provides a physical explanation for the universality and robustness of prime pairing, offering a pathway toward bridging analytic number theory with time-field physics. The work builds on the developing Chronos framework and follows earlier demonstrations that time-field structuring can alter classical computational complexity, including Chronos-accelerated factoring methods.