Composite nuclear physics and molecular chemistry are the same function.

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-15
DOI
https://doi.org/10.5281/zenodo.23404273
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Composite nuclear physics and molecular chemistry are the same function.

sungbae im
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Composite nuclear physics and molecular chemistry are the same function.

sungbae im
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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.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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