IndisputableMonolith.Physics.GravitationalWaveInterferometryFromJCost
Module packaging gravitational-wave interferometry as a Recognition Science domain certificate built on the J-cost functional. It supplies a source taxonomy and a six-clause J-band cert that ties strain-ratio observables to the canonical cost geometry. GW and RS auditors cite the cert when checking detector-level predictions. The argument is the standard CanonicalJBand template instantiated on interferometric ratios.
claimThe module introduces a gravitational-wave source classification and a certificate that interferometric observables (strain-derived positive ratios) obey the canonical six-clause $J$-cost band: $J(1)=0$, $J(x)\ge 0$ for $x>0$, and the remaining matched-ratio identities of the reusable J-band template.
background
Recognition Science derives physics from a single cost functional $J$ on positive reals, uniquely fixed (T5) by the Recognition Composition Law to $J(x)=(x+x^{-1})/2-1$. Domain certificates across the master chain reuse a six-clause template on cost-of-ratio: matched zero at unity, nonnegativity, and four further identities that pin the band geometry.
CanonicalJBand factors that template so each physics domain only has to name its positive ratios and discharge the six clauses. This module sits in the Physics layer and treats gravitational-wave interferometry: laser-arm strain measurements yield dimensionless positive ratios to which $J$ applies.
Sibling declarations supply a finite source taxonomy (compact binaries, bursts, stochastic backgrounds, and related classes), a source count, the certificate structure, and the inhabited cert value.
proof idea
Definition-plus-certificate module, not a deep proof development. It declares a source inductive (or equivalent enumeration), a count, a Prop-valued certificate type whose clauses mirror the six-clause J-band, and a single inhabitant that applies the CanonicalJBand lemmas to the interferometric ratio carriers. No independent analytic derivation of strain waveforms; the work is instantiation and clause discharge against the imported template.
why it matters in Recognition Science
Fills the gravitational-wave interferometry slot in the B-tier / Plan v7 domain-cert chain that opens whole-science coverage from J-cost. Downstream master certificates can point here when claiming that LIGO/Virgo-style observables sit inside the RS cost band without extra postulates. Ties detector-level ratios to the same $J$ fixed by T5 and used for the phi-ladder mass formula and the alpha band, keeping GW physics on the forced rather than fitted side of the framework. No further used_by edges are recorded yet; the module is a leaf cert ready for aggregation.
scope and limits
- Does not derive Einstein-equation waveforms or post-Newtonian phasing.
- Does not claim numerical match to specific LIGO/Virgo event catalogs.
- Does not fix detector noise curves, antenna patterns, or calibration constants.
- Does not extend the cert beyond the six J-band clauses on named ratios.
- Does not treat quantum gravity or horizon microphysics.