Standard–Model Masses from Integer Baselines at a Universal RG Anchor
Recognition Science, Recognition Physics Institute — Austin, Texas, USA
Summary
We present a parameter‑free pipeline for SM masses using fixed sector yardsticks, structural integer baselines \(r_i\), and a single global residue functional per sector, all evaluated at one universal anchor \(\mu_\star\). Each mass is the unique fixed point \(m_i=A_B\,\varphi^{\,r_i+f_B(m_i)}\) under standard QCD/QED kernels with frozen, sector‑global policies—no per‑species knobs.
Abstract
We give a parameter–free pipeline for Standard–Model masses based on four fixed elements: a bridge–anchored energy unit \(E_{\mathrm{coh}}=\varphi^{-5}\,\mathrm{eV}\), one frozen yardstick per sector \(A_B=B_B E_{\rm coh}\varphi^{r_0(B)}\), integer rungs \(r_i=\ell_i+\tau_i\) from a deterministic word constructor, and a single, sector–global residue functional encoding universal scale dressing at a common anchor \(\mu_\star\). Each mass is the unique fixed point \(m_i=A_B\,\varphi^{\,r_i+f_B(m_i)}\) evaluated with standard kernels (QCD 4L, QED 2L) and fixed thresholds. There are no per‑species knobs; scheme or input changes move an entire sector coherently and are reported as one band.
Key Points
- Single bridge unit and frozen sector yardsticks; structural integers \(r_i\) fixed a priori.
- One global residue functional per sector; uniform fixed‑point evaluation at \(\mu_\star\).
- Parameter‑free charged‑lepton table; extension to quarks and \(W/Z/H\) under the same rules.
- Audit artifacts and non‑circular PDG\(\to\mu_\star\) transport for comparisons.