w_mass_implies_ew_scale
plain-language theorem explainer
The theorem shows that the W-mass anomaly assumption drawn from the ledger structure immediately supplies the electroweak scale from the ledger. Cosmologists modeling the CDF discrepancy inside Recognition Science would invoke it to link the measured mass excess to the phi-ladder hierarchy. The proof is a one-line term that returns the hypothesis unchanged, because the anomaly placeholder is defined to be identical to the scale property.
Claim. If the W-mass anomaly arises from the ledger structure, then the electroweak scale is determined by the ledger.
background
The module formalizes the structural framework for the W-mass anomaly under Recognition Science. The electroweak scale is set by the phi-ladder, where the scale at rung k equals phi to the power k. The upstream definition equates the W-mass anomaly from the ledger to the scale from the ledger proposition. Mass is the real numbers in native units.
proof idea
The proof is a one-line wrapper that returns the input hypothesis. Because the W-mass anomaly from the ledger is definitionally equal to the scale from the ledger, no further reduction is required.
why it matters
This theorem provides the direct implication from the anomaly structure to the electroweak scale input in the T-005 resolution of the CDF discrepancy. It supports the interpretation that the observed mass shift reflects the true Recognition Science electroweak scale on the phi-ladder. No further theorems depend on it yet.
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