pith. sign in
theorem

row_mH_codata_pos

proved
show as:
module
IndisputableMonolith.Physics.HiggsMassScoreCard
domain
Physics
line
32 · github
papers citing
none yet

plain-language theorem explainer

The declaration proves positivity of the codata row holding the observed Higgs mass. Physicists verifying the Recognition Science Higgs scorecard inputs would cite it to confirm the numerical anchor satisfies the required inequality before interval claims. The proof is a term-mode wrapper that unfolds the definition to the constant 125.2 and applies norm_num.

Claim. $0 < m_{H,obs}$ where $m_{H,obs} := 125.2$ GeV is the observed Higgs boson mass.

background

The HiggsMassScoreCard module implements Phase 2 of the Recognition Science framework for the Higgs mass, comparing the predicted value $m_{H,rs} = v sqrt(sin^2 theta_W * 17/16)$ (with $v=246$ GeV and $sin^2 theta_W = (3-phi)/6$) against the PDG observation. row_mH_codata is defined directly as the observed mass mH_obs. The upstream result mH_obs supplies the concrete value 125.2 GeV as the Higgs observed mass in GeV.

proof idea

The term proof unfolds row_mH_codata to mH_obs and then to the literal constant 125.2, after which norm_num discharges the inequality 0 < 125.2.

why it matters

The result anchors positivity of the observed-mass input inside the Higgs mass scorecard. It supports the PARTIAL_THEOREM status of the module, which establishes the (120,130) GeV window while leaving the RS prediction comparison open. In the wider framework it supplies the numerical base for later proximity checks against the phi-ladder and eight-tick structures.

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