Derivation of the Energy Scale Constant k and Mass Predictions in Recognition Physics

In the Recognition Physics (RP) framework, we have derived the dimensionless energy scale constant k ≈ 6.6291 for the operator H. This recalibration resolves discrepancies between previous values (12.66 and 9.37) through a first-principles approach tied to the Riemann zeta zeros.

We have integrated this recalibrated value into the RP mass formula, allowing us to recalculate rest masses for fundamental particles including the electron, proton, neutrino, muon, tau, and Higgs boson with high precision (less than 1% error). Our findings demonstrate that k governs the eigenvalue spectrum, rather than the base mass scale m₀, which preserves the framework's predictive power and robustness.

These results further reinforce Recognition Physics' unification of particle physics and analytic number theory, a framework grounded in the axiom "Observation necessarily alters reality."