Geometric Interpretation of Nuclear Fission and Fusion

Standard nuclear physics quantifies fission and fusion energies through mass defect (∆m) and theequivalence principle E = mc2. Lattice-Continuous Monism (LCM) proposes a topological substratefor these phenomena by defining mass as the static elastic strain of a hyper-rigid vacuum lattice. Inthis paper, we address the ”scale gap” criticism by quantitatively demonstrating that the lattice’sgeometric coupling constant (αs ≈ 0.11785) naturally scales the binding energy to the MeV rangeat the femtometer scale. Furthermore, we present a geometric derivation of the proton mass usingthe topological winding number of the Truncated Octahedron (6π5), achieving 99.99% accuracy withexperimental values. We interpret nuclear fission as a ”Geometric Resonance” failure of asymmetricknots and fusion as ”Topological Optimization” (Kelvin problem), suggesting that nuclear energy isphysically the release of vacuum lattice tension.