Non-Perturbative QCD Observables from the R12 Rendering Algebra: Zero-Parameter Derivation of fπ, gρππ, VMD Universality Breaking, and the Chiral Self-Referential Fixed Point
Abstract
Four non-perturbative QCD observables are derived from the five-axiom set {12, π, γ1, ln 2, φ} of Array Cosmology with zero free parameters.
(1) The pion decay constant fπ = (122 − 1)(ln 2 − Znoise/2) = 92.10 MeV (PDG: 92.07 ± 0.57, 0.04%).
(2) The ρ–pion coupling gρππ = 6(1 − Znoise/12) = 5.951 (PDG: 5.955 ± 0.02, 0.07%).
(3) The VMD universality breaking ratio gV /gρππ = 5/6 (PDG: 0.8328, 0.06%), implying αs(mρ) = π/8.
(4) The nucleon axial-vector coupling g 2 A = φ, the golden ratio, derived as the unique self-consistent fixed point of the Adler– Weisberger/Goldberger–Treiman feedback loop (PDG: gA = 1.2723±0.0023; √φ = 1.2720, 0.022%).
Four additional quantities (mρ, Γρ, Γee, ma1 /mρ) are confirmed as consistency checks. The standard model provides no closed-form analytic expressions for any of these; ab initio determination requires lattice QCD simulations.
Related
- The Hubble Ladder: Complete Self-Referential Classification of H0 Measurements and the φ-Rung Spectrum of the R12 Rendering Algebra
- Hubble Tension, S8 Tension, and DESI Dark Energy as Self-Referential Observation Costs in the R12 Rendering Algebra
- The Lattice-Level Derivation of Feynman Diagrams and the Universal Topo-Thermodynamic Rendering Protocol within Array Cosmolog
- Derivation of the Standard Model Gauge Group SU(3)C × SU(2)L × U(1)Y from the R12 Rendering Algebra
- Practical approach to perturbative corrections to few-body observables
BibTeX
@misc{lim2026nonperturbative,
title = {{Non-Perturbative QCD Observables from the R12 Rendering Algebra: Zero-Parameter Derivation of fπ, gρππ, VMD Universality Breaking, and the Chiral Self-Referential Fixed Point}},
author = {Han-Jun Lim},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23604023},
url = {https://zenodo.org/records/23604023},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Non-Perturbative QCD Observables from the R12 Rendering Algebra: Zero-Parameter Derivation of fπ, gρππ, VMD Universality Breaking, and the Chiral Self-Referential Fixed Point
AU - Han-Jun Lim
PY - 2026
DA - 2026/10/23
PB - Zenodo
DO - 10.5281/zenodo.23604023
UR - https://zenodo.org/records/23604023
AB - Four non-perturbative QCD observables are derived from the five-axiom set {12, π, γ1, ln 2, φ} of Array Cosmology with zero free parameters. (1) The pion decay constant fπ = (122 − 1)(ln 2 − Znoise/2) = 92.10 MeV (PDG: 92.07 ± 0.57, 0.04%). (2) The ρ–pion coupling gρππ = 6(1 − Znoise/12) = 5.951 (PDG: 5.955 ± 0.02, 0.07%). (3) The VMD universality breaking ratio gV /gρππ = 5/6 (PDG: 0.8328, 0.06%), implying αs(mρ) = π/8. (4) The nucleon axial-vector coupling g 2 A = φ, the golden ratio, derived as the unique self-consistent fixed point of the Adler– Weisberger/Goldberger–Treiman feedback loop (PDG: gA = 1.2723±0.0023; √φ = 1.2720, 0.022%). Four additional quantities (mρ, Γρ, Γee, ma1 /mρ) are confirmed as consistency checks. The standard model provides no closed-form analytic expressions for any of these; ab initio determination requires lattice QCD simulations.
ER -