P-101:The Geometric Dissolution of the Gauge Hierarchy Problem — From Geometric Dilution to Non-perturbative Enhancement

Abstract:
The gauge hierarchy problem — the enormous seventeen-orders-of-magnitude gap between the electroweak scale v_H ≈ 246 GeV and the Planck scale M_Pl ≈ 1.22×10^19 GeV — is regarded as the deepest 'naturalness crisis' of the Standard Model. … Starting from Space Ontology, this paper demonstrates that the gauge hierarchy is not a problem to be 'solved' by new physics, but rather an inevitable consequence of spatial geometry. We rigorously derive: the vacuum expectation value is determined by v_H² = κ M_Pl² / G(κ), where G(κ) ≈ 4.2×10^31 is the geometric dilution factor …; the Higgs mass is given by m_H = sqrt(2κ³/G(κ)) · e^{c/(2κ)} · M_Pl, where the e^{c/κ} factor (c ≈ 0.10) originates from the non-perturbative enhancement of the bounce instanton. … all determined by the single free parameter κ = 0.017. … naturally suppressed by an effective cutoff Λ_eff ~ v_H/√κ ~ 1.9 TeV … characteristic deviations from the Standard Model predictions near the ~2 TeV energy scale.This paper is part of the second series (Applications and Verifications) of Space Ontology, building upon the foundational framework established in the first series (17 papers total).