h_0
plain-language theorem explainer
The declaration fixes the dimensionless sensitivity floor h_0 at unity for the phantom-coupled GW antenna model. Device physicists scaling sub-Hz strain response would cite this constant when writing h_min(f) = h_0 · carrier / f with carrier = 5φ Hz. The entry is a direct constant assignment with no lemmas or reduction steps.
Claim. The reference sensitivity floor at the carrier frequency is the dimensionless constant $h_0 = 1$.
background
The module treats a phantom-cavity-coupled GW antenna whose strain sensitivity scales as h_min(f) = h_0 · carrier / f. Carrier is the BIT frequency 5φ Hz (approximately 8.09 Hz) taken from the upstream CorticalNeuromodulationDevice.carrier definition. The local setting is Track J6 of Plan v5, where sensitivity is required to be strictly anti-monotonic in frequency on either side of the carrier.
proof idea
Direct definition that binds the literal value 1 to the identifier h_0. No tactics or upstream lemmas are invoked.
why it matters
Supplies the reference value required by gw_antenna_one_statement and the PhantomCoupledGWAntennaSensitivityCert structure to certify sensitivity_at_carrier = h_0 together with strict anti-monotonicity. It completes the engineering derivation for the RS_PAT_030 antenna in the Recognition Science framework, linking the phi-ladder carrier to the 1/f scaling law stated in the module doc-comment.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.