PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
March 29, 20260 citationsOpen Access

Primordial Lithium Abundance Suppression via Geometric Cross-Section Enhancement in M-Theory Compactifications on G2-Holonomy Manifolds

View Full Paper
MRMoustafa Amin Radwan

Key Points

  • The research aims to resolve the long-standing discrepancy between predicted and observed primordial lithium abundance in metal-poor halo stars.
  • Utilized M-theory compactifications on a G2-holonomy manifold with specific Betti numbers.
  • Applied spectral zeta function regularization of vacuum energy to derive correction factors.
  • Analyzed enhancements in nuclear cross-section through wavefunction renormalisation.
  • Performed Bayesian model comparison to evaluate framework validity against standard models.
  • Achieved an enhanced nuclear cross-section for Be-7 destruction by a factor of 3.154.
  • Predicted lithium-to-hydrogen ratio aligns closely with Spite plateau observations at a 0.3 sigma level.
  • Reduced the discrepancy from over 10 sigma to below 0.3 sigma.
  • Bayesian analysis favored the geometric framework with a Bayes factor of 10^20.

Abstract

The persistent discrepancy between the predicted primordial lithium-7 abundance from standard Big Bang nucleosynthesis (SBBN) and observations of metal-poor halo stars has remained unresolved for over four decades, currently exceeding 10 sigma. A resolution has been derived from M-theory compactified on a G2-holonomy manifold with Betti numbers (b₂, b₃) = (27, 451). Spectral zeta function regularisation of the vacuum energy on the compact manifold yields a one-loop correction factor Delta = 2*gammaEM + 1 = 2. 154, where gammaEM denotes the Euler-Mascheroni constant. This topological invariant enhances the effective nuclear cross-section for all Be-7 destruction channels through wavefunction renormalisation at the interaction vertex, yielding an enhancement factor of 3. 154. The detailed balance theorem guarantees that reactions in chemical equilibrium (deuterium, helium-4) remain unaffected, while the marginally frozen Be-7 network is selectively suppressed. The predicted lithium-to-hydrogen ratio (Li/H) QGU = (1. 48 +/- 0. 35) x 10^-10 agrees with the Spite plateau observations (1. 58 +/- 0. 31) x 10^-10 at the 0. 3 sigma level, reducing the tension from 10 sigma to below 0. 3 sigma. Bayesian model comparison yields a Bayes factor of 10²0 in favour of the geometric framework over SBBN. No adjustable parameters or hypothetical particle species have been introduced.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Moustafa Amin Radwan (2026) studied this question.

synapsesocial.com/papers/69c8c3a8de0f0f753b39ea4chttps://doi.org/10.5281/zenodo.19266021
Ask AI
Helpful
Bookmark
Share
View Full Paper