Explain the Lean def `gravitationalWaveCert` in module `IndisputableMonolith.Astrophysics.GravitationalWaveFromJCost`. Write for an educated reader who knows science and programming but may not know Lean. Cover: (1) what the declaration says in plain English, (2) why it matters in Recognition Science, (3) how to read the formal statement, (4) visible dependencies or certificates in the supplied source, and (5) what this declaration does not prove. Cite only declarations present in the supplied Recognition source.

The requested declaration gravitationalWaveCert and its parent module IndisputableMonolith.Astrophysics.GravitationalWaveFromJCost are not present in the supplied slice of the Recognition Science canon. They are also not detailed in the framework primer. Therefore, I cannot provide the exact formal statement, its inner dependencies, or a direct plain English translation of that specific certificate.

However, the supplied canon does address the foundational physics of gravitational waves—specifically, their absolute propagation speed limit. Based on the provided IndisputableMonolith.Gravity.PropagationSpeed module, here is how Recognition Science treats gravitational phenomena in lieu of the missing certificate:

1. Plain English Translation of Available GW Physics

The framework establishes as a THEOREM that gravitational waves and electromagnetic radiation (light) must propagate at precisely the same speed. There is no separate "gravitational medium"; both phenomena manifest on the identical discrete spacetime ledger and are governed by the same atomic tick rate.

2. Why it Matters in Recognition Science

In standard physics, the speed of gravity and the speed of light are independent parameters that empirical observations (like the GW170817 neutron star merger) show to be equal to $10^{-15}$ precision. In RS, this exact equality is a structural mandate (THEOREM). The Universal Forcing (MODEL) dictates that the underlying causal substrate is unified; the ledger's single clock forces $c_{grav} = c_{light}$.

3. How to Read the Formal Statements

While gravitationalWaveCert is absent, the constraint on gravitational waves is formally written as:

• c_grav_eq_c_RS (THEOREM): Proves c_grav_RS = c_RS. Both are defined as 1 (1 voxel per tick).
• speed_ratio_unity (THEOREM): Rigorously derives c_grav_RS / c_RS = 1.
• propagation_equality_forced (THEOREM): Demonstrates that sharing a single tick rate mathematically forces their propagation speed ratio to equal 1.

4. Visible Dependencies

These proofs depend on the foundational RS definitions (MODEL) of fundamental units: c_RS and c_grav_RS, which both evaluate to 1 voxel/tick because they utilize the identical atomic causal step length ($\ell_0$) and fundamental time quantum ($\tau_0$).

5. What is NOT Proved Here

The supplied slice proves the kinematics of gravitational signals (their absolute speed limit). It does not prove the astrophysical dynamics of how these waves are generated by accelerating masses, nor does it map the fundamental $J(x)$ cost function to a quadrupolar wave amplitude. That dynamic derivation is presumably what the missing GravitationalWaveFromJCost module contains.