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March 10, 20260 citationsOpen Access

BCT Letter 22: The QCD Confinement Scale from BCT Vacuum Geometry — ΛQCD from the D4 Theta-Function Decomposition

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MCMichel Robert Cabrié

Key Points

  • The aim is to derive the QCD confinement scale Λ_QCD using BCT vacuum geometry and theta-function decomposition.
  • Utilized BCT vacuum geometry
  • Applied D4 theta-function decomposition
  • Analyzed S_QCD = S_D4(1 − r_tet + α0/2)
  • Derived Λ_QCD = 220.44 MeV
  • Agreed with PDG value to +0.200%
  • 1 prediction contributed to the BCT program's total of 96 sub-1% predictions

Abstract

We derive the QCD confinement scale ΛQCD = 220. 44 MeV from BCT vacuum geometry via the D4 theta- function decomposition SQCD = SD4 (1 − rₜet + α0/2). The result agrees with the PDG value to +0. 200% (Prediction #96), using zero free parameters. The BCT programme now counts 96 sub-1% predictions.

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Cite This Study

Michel Robert Cabrié (2026) studied this question.

synapsesocial.com/papers/69af95cf70916d39fea4dc7chttps://doi.org/10.5281/zenodo.18906377
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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1BCT Appendix AZ2: The Planck-QCD Triangle — Λ_QCD from the D4 Root Decomposition2026
  2. 2BCT Letter 34: All Three Standard Model Scales from BCT Geometry — 110 Predictions, Zero Free Parameters2026 · 4 citations
  3. 3Geometric Resolution of the Strong CP Problem without an Axion2026
  4. 4The BCT Superfluid Lattice Model monograph: Complete Derivation of Standard Model Parameters from Vacuum Geometry2026
  5. 5BCT Letter 86: The Cabibbo Angle from BCT Void Geometry — sin(θC) = 2r_tet(1+3α0/8) at Sub-0.1%2026