IndisputableMonolith.Relativity.GW
The Relativity.GW module assembles the gravitational wave sector of Recognition Science by importing tensor decomposition, action expansion, propagation speed, and constraint submodules. A researcher deriving wave observables from the phi-ladder and J-cost would cite this module to maintain consistency with the unified forcing chain. The module's structure is a pure composition of its four imported submodules with no new declarations at this level.
claimThe gravitational wave sector is organized via the tensor decomposition of the metric perturbation $h_{ij}$, the expanded action $S[h]$, the propagation speed $v$ obtained from the Recognition Composition Law, and the resulting mode constraints.
background
Recognition Science derives gravitational phenomena from the forcing chain T0-T8, with T5 fixing the J-cost function $J(x)=(x+x^{-1})/2-1$ and T6 forcing the self-similar point phi. The module extends this setting to relativistic waves by importing the four submodules that translate the Recognition Composition Law into tensor language. Upstream modules supply the concrete decompositions and expansions needed to keep wave dynamics inside the phi-ladder and the eight-tick octave.
proof idea
This is a definition module, no proofs. The argument is realized entirely by the four module imports that expose TensorDecomposition, ActionExpansion, PropagationSpeed, and Constraints as a single coherent interface.
why it matters in Recognition Science
The module supplies the relativity-sector components required by the broader Recognition framework, in particular the wave-propagation consequences of T7 (eight-tick octave) and T8 (D=3). It feeds any downstream derivation that applies the mass formula or Berry threshold to gravitational radiation, even though the used_by list is currently empty.
scope and limits
- Does not derive the full Einstein field equations.
- Does not compute explicit waveforms or luminosities.
- Does not address quantum loop corrections.
- Does not perform numerical integration against observational data.