Zero-Parameter Manual Derivation High-Precision Reproduction of Experimental Results for α, Muon g-2, and Neutron Lifetime

Abstract: The fine-structure constant α, the muon anomalous magnetic moment aμ, and the neutron lifetime are crown-jewel core puzzles in physics. α ≈ 1/137, as a cornerstone constant, was famously called "one of the greatest mysteries in physics" by Feynman. Muon g-2 is the most precise probe for testing quantum field theory. The neutron lifetime exhibits a stubborn discrepancy of approximately 8.9s between the bottle and beam measurements, which has remained irreconcilable for decades. Based on three fundamental equations—the field dynamics equation, the mass-frequency relation, and the equation of motion—and three parameters (λ = 0.118 GeV⁴, v = 246.22 GeV, G = 6.708 × 10⁻³⁹ GeV⁻²), this paper achieves high-precision reproduction of all experimental results through manual analytic derivation, without introducing any external parameters or fitting assumptions. It not only allows α to emerge naturally from the geometric ratio of two fundamental energy scales, aμ to surpass the 0.6σ benchmark and reach 0.23σ through a phase-space geometric series expansion, traces the bottle-versus-beam discrepancy in neutron lifetime to the geometric separation of two fundamental energy scales in phase space, but also reveals and explains the origins of these discrepancies from first principles, thereby providing a unified geometric breakthrough path for the precise reproduction of further fundamental physical constants puzzles. This study adopts a purely algebraic-topological analytical pathway, consciously eschewing all forms of integration and derivative perturbative techniques.