row_fermi_pred_eq
plain-language theorem explainer
The equality states that the Recognition Science Fermi constant prediction equals the electroweak identity 1 over square root of 2 times the square of the canonical vacuum expectation value. Physicists auditing natural-unit constants against CODATA data cite this when confirming the G_F scale at the 246 GeV electroweak point. The proof is a one-line reflexivity that matches the definition of the prediction exactly.
Claim. The predicted Fermi constant in natural units satisfies $G_F = 1/ (√2 · v²)$, where $v = 246$ GeV is the canonical electroweak vacuum expectation value.
background
Recognition Science places the Fermi constant in the electroweak identity expressed in natural units. The canonical vacuum expectation value is fixed at the standard scale of 246 GeV. The prediction is introduced directly as the expression 1 / (√2 · v²) to align with the measured value near 1.166 × 10^{-5} GeV^{-2}.
proof idea
The proof applies reflexivity. The left-hand side is defined to be exactly 1 / (Real.sqrt 2 * vev_canonical ^ 2), so the equality holds by construction with no additional lemmas or reductions required.
why it matters
This supplies the exact natural-unit form required for the Phase 1 row P1-C01 score card. It supports the subsequent certification that the Recognition Science interval brackets the CODATA value. The result remains partial pending a first-principles derivation of the 246 GeV scale from the phi-ladder.
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