Composite nuclear physics and molecular chemistry are the same function.

Abstract

AbstractThis study introduces an effective bonding function B(ω) = R · cos(Δθ) · T · F(N) based on the spatial energy dynamic balance function R = r'0 · exp(±bθ) · exp(±iφ) · exp(±jψ) (b = √5/2 ≈ 1.118) proposed in prior work, and analyzes the stability of multi-center molecular bonding from the perspective of composite-nucleus physics. The quantum-mechanical wave function is understood as the special solution of this function in the limit T → 0. Bonding strength B was calculated for 2c–8c chemical species with center number N as the variable. Composite-number systems (e.g., 6c, 8c) exhibit B > 0 (exothermic bonding), while prime-number systems (5c, 7c) and sub-critical systems (3c) show a temporary B < 0 tendency and then re-decompose into stable integer-ratio combinations (2c+3c, 3c+4c). This is explained by the recycling of leaked waves T through the Mach angle μ and integer-ratio resonance, which is the same mechanism as the nonlinear superposition of oceanic rogue waves. It is also consistent with the surface-area reduction principle of a water droplet (8πr² → 6.35πr², ≈20.6 % reduction), understood as leakage of T and bonding via residual R. The framework unifies composite nuclei, fluid surfaces, and molecular bonding under a single equation system.