Goldbach’s Conjecture as an Informational Coherence Phenomenon

Goldbach’s conjecture, one of the oldest and most resilient problems in number theory, has traditionally been approached through additive and combinatorial methods. Despite extensive numerical verification and partial results, a structural explanation for its apparent universality remains elusive. In this work, we propose a reinterpretation of Goldbach’s conjecture within the framework of Viscous Time Theory (VTT), introducing an informational–geometric perspective in which prime numbers are treated as stable coherence attractors in an informational field. Within this framework, the pairing of two primes summing to an even integer is no longer viewed as a purely combinatorial coincidence, but as a coherence-driven event governed by informational balance and minimal decoherence pathways. We introduce measurable informational parameters, notably ΔC (coherence variation) and ΔI (informational imbalance), and show how they provide a natural ordering principle for prime pairing phenomena. The conjecture is thus reframed as a manifestation of structural stability in an informational field, rather than as a purely arithmetic property. While no classical proof is claimed, this approach offers a unifying conceptual model that accounts for the persistence of Goldbach-type pairings and connects number theory with broader informational and geometric principles. The results suggest that Goldbach’s conjecture may be interpreted as a specific instance of a more general coherence pairing mechanism in discrete informational systems. The proposed framework is further supported by large-scale numerical validation up to even integers, revealing smooth scaling behavior, bounded curvature, and stable coherence-field signatures consistent with the theoretical model.