The search for Mersenne primes has historically relied on distributed computational methods, primarily utilizing the Lucas-Lehmer primality test. While highly effective, the exponential growth in computational complexity presents significant challenges for future discoveries. In this paper, we propose an alternative, physics-inspired heuristic approach: the J. M Resonance Function. By modeling prime distribution as a multi-dimensional acoustic lattice governed by a Finite Pi (L) boundary, we introduce an O (1) spatiotemporal mapping technique. We empirically validate this model by reverse-calculating historically verified Mersenne primes (from M₃₂ to M₅₂), achieving a 100% geometric phase-lock correlation. Based on these verified empirical foundations, we formulate a hypothesis for the next undiscovered Mersenne prime, predicting the exponent for M₅₃ to be 185, 468, 303. We humbly submit this candidate to the distributed computing community for rigorous mathematical verification, marking a paradigm shift from traditional Turing Machine computation to quantum-accelerated spatiotemporal resonance.
Min Ho Jung (2026) studied this question.