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April 26, 20268 citationsOpen Access

An SO(10)-Compatible QDL Grand-Unification Benchmark with Two-Loop Running, Threshold Matching, and Proton-Decay Exposure

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JBJames D. Bourassa

Key Points

  • The aim is to establish a benchmark for the QDL–SO10–1 model in grand-unification theory.
  • Defined breaking chain: SO(10) → SU(4)_C × SU(2)_L × SU(2)_R → SU(3)_C × SU(2)_L × U(1)_Y.
  • Included machine-readable tables with running intervals and corresponding corrections.
  • Specified neutrino-sector values and proton-decay exposure channels.
  • Defined heavy-threshold spectrum with M_U = 1.00 × 10^16 GeV and M_I = 4.70 × 10^13 GeV.
  • Observed two-loop running corrections with α_U^−1 = 25.6.
  • Established the benchmark as citable, inspectable, and extensible.

Abstract

This record defines QDL–SO10–1, a fixed SO (10) -compatible benchmark in the Quantized Dimensional Ledger grand-unification sequence. The release is a benchmark-definition package, not a complete global scan. It includes the manuscript and machine-readable tables specifying the breaking chain, threshold spectrum, running intervals, matching corrections, neutrino-sector values, electroweak reference inputs, benchmark reconstruction map, and proton-decay exposure channels. The purpose is to make the QDL–SO10–1 benchmark citable, inspectable, and extensible for later numerical stress testing. The benchmark is defined by the breaking chain SO (10) → SU (4) C × SU (2) L × SU (2) R → SU (3) C × SU (2) L × U (1) Y, with MU = 1. 00 × 10¹6 GeV, MI = 4. 70 × 10¹3 GeV, αU^−1 = 25. 6, a seesaw-compatible right-handed-neutrino hierarchy, declared heavy-threshold spectrum, two-loop running blocks, matching corrections, and proton-decay exposure channels.

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Cite This Study

James D. Bourassa (2026) studied this question.

synapsesocial.com/papers/69edacdb4a46254e215b482dhttps://doi.org/10.5281/zenodo.19742963
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