IndisputableMonolith.Physics.GravitationalWaveInterferometryFromJCost
This module applies the canonical J-cost band to gravitational wave interferometry. It defines source types and a certificate that derives interferometry properties from the J-function on ratios. Recognition Science researchers extending the master cert chain to wave detection would cite it. The module consists of type definitions and a certification object built directly on the six-clause template.
claimThe module introduces $GWSourceType$ as an enumeration of gravitational wave sources, $gwSourceCount$ as the associated counting function, and $GWInterferometryCert$ as the proposition that interferometry observables satisfy the matched-zero $J(1)=0$ and nonnegativity $J(x)≥0$ conditions of the J-cost band.
background
The module sits inside the Recognition Science framework that derives physics from the single functional equation for J-cost. It imports the CanonicalJBand template, whose doc-comment states that each domain cert proves matched-zero J(1)=0 and nonneg J(x)≥0 for x>0. Local definitions translate gravitational wave sources and interferometry into ratio-based J-cost statements.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module supplies the gravitational wave interferometry domain certificate in the master cert chain. It feeds the B-tier whole-science openings described in the CanonicalJBand doc-comment and extends the J-cost template to wave interferometry observables.
scope and limits
- Does not derive numerical strain predictions for specific detectors.
- Does not incorporate general-relativity corrections beyond J-cost.
- Does not address multi-messenger or quantum-gravity extensions.