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March 27, 20266 citationsOpen Access

CCEGA Paper 18 v2. 0: Why the Universe Bounced at Nuclear Density — The Correct QCD Derivation of ρc 3D

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MSMarc López Sánchez

Key Points

  • The study aims to derive the critical density ρ_c from quantum chromodynamics using the MIT bag model and perturbative corrections.
  • Utilized the MIT bag model to estimate ρ_trans with perturbative QCD corrections.
  • Analyzed parameter values B^{1/4} and α_s within experimentally accepted ranges.
  • Identified the gravitational hard threshold and phase transition as a critical point.
  • Calculated ρ_trans between 6.9 and 7.9 ρ_nuc, consistent with observed values.
  • Confirmed CCEGA's critical density value ρ_c as approximately 7 ρ_nuc from PSR J0952−0607.
  • Predicted the cold quark-hadron transition at ~7 ρ_nuc, currently beyond ab-initio calculations due to the sign problem.

Abstract

Derives the CCEGA critical density ρc from quantum chromodynamics. The MIT bag model with perturbative QCD corrections gives ρₜrans = 6. 9–7. 9 ρₙuc for B^1/4 = 210–220 MeV and αₛ = 0. 3–0. 5 — values within the experimentally accepted range — in precise agreement with the CCEGA preferred value ρc ≃ 7 ρₙuc from PSR J0952−0607. The gravitational hard threshold of CCEGA and the hadron-quark phase transition of QCD are identified as the same critical point. CCEGA therefore has zero free parameters. Includes a prediction for lattice QCD: the cold quark-hadron transition should occur at ∼7 ρₙuc, currently beyond ab-initio reach due to the sign problem.

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Cite This Study

Marc López Sánchez (2026) studied this question.

synapsesocial.com/papers/69c61f2515a0a509bde17c09https://doi.org/10.5281/zenodo.19222319
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