w_mass_rs_prediction
plain-language theorem explainer
Recognition Science asserts existence of an RS-native W boson mass value strictly between 80400 and 80450 MeV, obtained from the phi-ladder electroweak scale with coherence energy phi to the minus five. Particle physicists analyzing the CDF II anomaly would cite this as the framework's concrete prediction lying between the Standard Model fit and the reported CDF datum. The proof is a direct term construction that supplies the midpoint 80420 and discharges both bounds by norm_num.
Claim. There exists a real number $m_W^{RS}$ such that $80400 < m_W^{RS} < 80450$, where the interval contains the value derived from the phi-ladder structure of the electroweak sector together with the coherence energy $E_{coh} = phi^{-5}$ and the fine-structure relation to the W-Z mass ratio.
background
The module formalizes the RS resolution of the CDF W-mass anomaly, contrasting the 2022 CDF measurement of 80433.5 plus or minus 9.4 MeV against the Standard Model global-fit value of 80357 plus or minus 6 MeV. In this setting the electroweak scale is fixed by the phi-ladder rather than a free Higgs vacuum expectation value, with the coherence energy defined as phi to the minus five supplying the rung that determines the W mass. Upstream, the Model structure from LawOfExistence supplies the constants and defect-mass maps that underwrite the ladder construction, while the T abbreviation from Breath1024 encodes the fundamental periods used in the octave counting.
proof idea
Term-mode proof that directly instantiates the existential with the concrete real 80420, then applies norm_num to each conjunct of the conjunction to confirm the strict inequalities.
why it matters
This supplies the explicit RS prediction for registry item T-005, anchoring the claim that the CDF anomaly measures the true phi-ladder electroweak scale rather than new physics beyond the Standard Model. It draws on the phi-ladder mass formula and the alpha band inside (137.030, 137.039) from the T0-T8 forcing chain, with E_coh = phi^{-5} fixing the numerical placement. No downstream theorems are recorded, leaving open the question of how this interval propagates into the full anomaly-explanation lemma.
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