Quark-Lepton Universality: Exponent Step ≈ −2.7
The ι_τ-exponent step between second and third generation (relative to m_n) is approximately −2.7 in both the quark s/d sector and the lepton τ/μ sector. Quark: p_s−p_d=log(m_s/m_d)/log(ι_τ)=−2.797 (m_s=95, m_d=4.7 MeV PDG). Lepton: p_τ−p_μ=−2.626. Difference 0.171 exceeds the st
What this page is
This is a public Results-lane surface for a noteworthy Physics Registry item. It is generated from the Corpus Registry triage catalogue and keeps the generic Result catalogue unchanged.
Registry evidence
- Registry item: IV.P187
- Type: proposition
- Scope: tau-effective
- Lean status: formalized
- Book / part / chapter: Book IV · Part 5 · Chapter 36
Result summary
The ι_τ-exponent step between second and third generation (relative to m_n) is approximately −2.7 in both the quark s/d sector and the lepton τ/μ sector. Quark: p_s−p_d=log(m_s/m_d)/log(ι_τ)=−2.797 (m_s=95, m_d=4.7 MeV PDG). Lepton: p_τ−p_μ=−2.626. Difference 0.171 exceeds the strict universality threshold of 0.1, so universality is approximate. The ~6.5% discrepancy may arise from different sector couplings (C-sector strong vs B-sector EM), consistent with the conjectural scope. Both steps lie near −2.7 ≈ −(ι_τ⁻² − ι_τ⁻¹), suggesting a shared winding-number increment structure across fermion families.
Related Results surfaces
- QCD Phases: Quark-Gluon Plasma as High-Temperature Confinement
- QCD Phases: Quark-Gluon Plasma as High-Temperature Confinement
Reading role
Use as Registry evidence for an existing Results surface.
Claim boundary
This page reports a Registry-backed internal result surface. It is not an external validation claim, a scientific consensus claim, or independent acceptance.
Curation rationale
- candidate is better handled as evidence for an inferred existing public surface
Review notes
- No additional review notes recorded.