IndisputableMonolith.Relativity.GW.Constraints
This module encodes the hypothesis that scalar couplings remain bounded by the GW170817 multi-messenger constraint on gravitational wave speed. It supplies the interface that translates the observed coincidence of gravitational and electromagnetic signals into a limit on the coupling parameter. Researchers testing modified gravity models against LIGO-Virgo data would cite it when checking consistency with c_T = 1. The module organizes the bound as a hypothesis that downstream proofs can assume or discharge using the propagation speed results.
claimThe hypothesis asserts that the scalar coupling parameter satisfies the bound implied by $c_T^2 = 1$ to within the timing precision of the GW170817 event, where $c_T^2 = 1 + O(alpha_C)$ from the tensor mode propagation.
background
The Constraints module belongs to the gravitational wave section of Recognition Science and imports the PropagationSpeed results. Those results establish that tensor perturbations in the TT gauge obey a quadratic action whose propagation speed squared equals one plus a term linear in the coupling. The local setting is the multi-messenger constraint from GW170817, which requires gravitational waves and light to arrive simultaneously and thereby limits the size of any scalar-tensor modification.
proof idea
This is a definition module, no proofs. It declares hypothesis interfaces for the GW170817 bound, the derived coupling bound, the statement that Recognition Science satisfies the bound, and the overall constraint framework.
why it matters in Recognition Science
The module supplies the observational anchor for the parent Relativity.GW module, which develops the full tensor perturbation theory including TensorDecomposition and ActionExpansion. It fills the chain step that connects the propagation speed modification to the empirical limit from multi-messenger astronomy, ensuring the framework remains compatible with the observed equality of gravitational and light speeds.
scope and limits
- Does not compute the explicit numerical value of the bound from raw telescope data.
- Does not prove that Recognition Science satisfies the bound inside the phi-ladder.
- Does not address constraints from other events such as binary pulsars.
- Does not include higher-order corrections beyond the linear term in the coupling.