This expository synthesis demonstrates a new perspective on Goldbach's conjecture using geometric and physical models, suggesting innovative pathways to explore.
Key Points
This work aims to reinterpret Goldbach's conjecture through the lens of theoretical physics and geometric modeling.
Propose a model for prime number distribution using the Feynman path integral formalism.
Demonstrate phase cancellation in Goldbach's minor arcs and relate it to quantum systems.
Introduce a heuristic rarity function to analyze the convergence of mass in relation to the conjecture.
Show that the classical action leads to rapid oscillations, simplifying the analysis of classical paths.
Prove that normalized curvature converges weakly to a Dirac delta function, influencing the Goldbach problem.
Demonstrate that the rarity function's integral converges, with mass concentrated on verified numbers.
Cite This Study
Arnaldo Adrian Ozorio Olea (2026) studied this question.