What question did this study set out to answer?

This research aims to derive the R² coefficient from the SU(2)_135 framework, relating to cosmological inflation.

June 15, 2026Open Access

TQNT-V5. 15 — Derivation of the R² coefficient from SU (2) ₁35 first principles

Key Points

This research aims to derive the R² coefficient from the SU(2)_135 framework, relating to cosmological inflation.
Utilized the TQNT-V5.15 framework to identify the R² coefficient based on the SU(2)_135 Chern-Simons sector.
Established a parameter-free prediction for the scalar amplitude As, comparing with Planck observed values.
Reported a scalar amplitude As of 1.89 × 10−9, close to the Planck observed value of 2.10 × 10−9 with a discrepancy of -9.9%.
Confirmed unstated values for ns and r from V5.14 are unchanged at ns = 0.967 and r = 3.3 × 10−3.

Abstract

TQNT-V5. 15 identifies the R² coefficient of the V5. 14 Starobinsky-like inflation potential from the SU (2) ₁35 Chern-Simons sector. The coefficient is fixed to a = (k+2) 5/6 = 1/ (6·αEM5), with k = 135 the unique Chern-Simons level of TQNT. Status and honest scope: Reproduces the V5. 14 calibration to +11. 1%. Predicts As = 1. 89 × 10−9 with NO free parameter (Planck observed value: 2. 10 × 10−9, -9. 9%). ns = 0. 967 and r = 3. 3 × 10−3 are unchanged with respect to V5. 14. The exponent 5 in (k+2) 5 is identified by numerical consistency; the full Coleman-Weinberg derivation is deferred to V5. 16. Complements the V5 monograph (10. 5281/zenodo. 19131538) and turns V5. 14 into a parameter-free TQNT prediction at the ~10% level for As.

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