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April 3, 20260 citationsOpen Access

Perturbative Geometric Correction to the Nuclear Equation of State from M-Theory Compactification on G2-Holonomy Manifolds and Its Effect on the Neutron Star Maximum Mass

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MRMoustafa Radwan

Key Points

  • This research aims to derive a geometric correction to the nuclear equation of state from M-theory compactification and assess its impact on neutron star properties.
  • Derived a density-dependent geometric potential from M-theory compactification on Joyce orbifold.
  • Used Akmal-Pandharipande-Ravenhall equation of state as the baseline.
  • Analyzed the effects of corrected parameters on neutron star mass and tidal deformability.
  • Maximum neutron star mass increased from 2.214 M☉ to 2.31 ± 0.07 M☉.
  • Canonical radius increased to 11.08 km.
  • Tidal deformability increased to 256, consistent with multiple astronomical constraints.

Abstract

A perturbative correction to the nuclear equation of state has been derived from the backreaction of dense baryonic matter on the moduli fields of M-theory compactified on the Joyce orbifold T⁷/ (Z₃ ⋉ I*) with G₂ holonomy and Betti numbers (b₂, b₃) = (27, 451). The compactification has introduced a density-dependent geometric potential Qgeo = CLIG (n/n₀) EF, where CLIG = 0. 05954 has been the matter-geometry coupling at the conical singularities, established independently through fifteen Standard Model observables in companion publications. The Akmal-Pandharipande-Ravenhall (APR4) equation of state has served as the baseline. The geometric correction has enhanced the maximum mass from Mₘax (APR4) = 2. 214 M☉ to Mₘax (APR4+QGU) = 2. 31 ± 0. 07 M☉ (+4. 3%), the canonical radius to R₁. 4 = 11. 08 km (+2. 3%), and the tidal deformability to Λ₁. 4 = 256 (+17%), all consistent with PSR J0740+6620, NICER, and GW170817 constraints. The coupling CLIG = 0. 05954 has been the same constant that has simultaneously constrained the Hubble tension, the S₈ tension, the primordial lithium problem, and the strong CP problem. Zero adjustable parameters have been introduced beyond those already present in APR4

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Cite This Study

Moustafa Radwan (2026) studied this question.

synapsesocial.com/papers/69cf5ebd5a333a821460d4d4https://doi.org/10.5281/zenodo.19343879
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