w_mass_atlas_measurement
plain-language theorem explainer
The declaration asserts the existence of a real number equal to 80367 that encodes the ATLAS 2024 measurement of the W boson mass in MeV. Particle physicists and cosmologists comparing electroweak scales against Recognition Science predictions would cite this embedding of the experimental datum. The proof is a direct term construction that supplies the witness and closes the equality by reflexivity.
Claim. There exists a real number $m_W^{ATLAS}$ such that $m_W^{ATLAS} = 80367$, encoding the ATLAS collaboration's 2024 measurement of the W boson mass in MeV.
background
The T-005 module addresses the CDF II W-mass anomaly (80,433.5 ± 9.4 MeV) versus the ATLAS 2024 value (80,367 ± 16 MeV) and the SM prediction (80,357 ± 6 MeV). Recognition Science treats the electroweak scale as fixed by the φ-ladder rather than a free Higgs VEV, so the ATLAS datum serves as an empirical anchor for the RS-native mass scale. Upstream results supply the fundamental tick τ₀ = 1 as the time quantum and define Mass simply as the real numbers in RS-native units.
proof idea
The proof is a term-mode construction: it directly supplies the witness 80367 for the existential quantifier and discharges the equality subgoal by reflexivity.
why it matters
This theorem supplies the ATLAS measurement as input for T-005, enabling direct comparison with the RS φ-ladder prediction of the W mass and the W-Z ratio. It anchors the claim that the apparent anomaly reflects the true RS electroweak scale rather than new physics. The declaration supports the module's resolution of the discrepancy within the eight-tick octave structure.
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