Astrophysics |
Authors: Aaron Alai
Conditional on the validity of the Displacement Spacetime (DST) framework [8] — which is unverified and should be evaluated on the basis of its predictions — we show that the DST Lagrangian’s cross-coupling term ½gφ_r²|Φ_θ|² predicts a neutron star mass gap as a parameter-free consequence of density-dependent gravitational enhancement. In neutron star interiors, where superfluid phase coherence is macroscopic, the cross-coupling produces a cascade mechanism: compression forces more nucleons into each other’s displacement field range, strengthening the many-body coherent enhancement, which increases gravitational mass, driving further compression. We compute the enhancement scaling η(ρ) from 4,800 three-dimensional many-body overlap integrals on a 161³ grid across 240 parameter combinations (5 Yukawa ranges, 4 Gaussian widths, 3 lattice geometries including random liquid-like packing). The power-law exponent is 1.49 [95% CI: 1.45—1.53], giving total enhancement energy density ε_DST ∝ ρ^3.16, which decisively exceeds Fermi pressure (ρ^1.67) in 100% of tested cases. The strong coupling α_s is derived from SU(3) displacement geometry: α_s × ln(m_Pl/m_e) = 2π/ln(2πu2075), where the logarithmic entry of the manifold volume (vs linear for EM) is traced to the Faddeev-Popov ghost determinant in non-Abelian gauge theory. The bare formula gives α_s(m_Z) = 0.116 (1.6% accuracy); the universal self-referential correction 9/64 = (3/8)² — the same correction that resolves α, sin²θ_W, and δ_CP in [8] — closes the residual to 0.006%. The collapse threshold falls at M_DST ≈ 2.10 M☉ with zero tuned parameters, consistent with the heaviest confirmed neutron stars (PSR J0740+6620 at 2.08 ± 0.07 M☉). Mass gap objects — GW190814’s 2.59 M☉ secondary and the PSR J0514—4002E companion at 2.09—2.71 M☉ — sit above this threshold in the cascade/collapse region. The predicted tidal deformability anomaly grows from ~8% at 1.1 M☉ to ~375% at 2.1 M☉, providing a concrete target for third-generation gravitational wave detectors.
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[v1] 2026-04-12 19:54:45
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