IndisputableMonolith.Verification.ILGCoercivityCert
ILG (Infra-Luminous Gravity) supplies falsifiable gravitational predictions inside the coercive projection framework. Gravity and verification workers cite the module for the coercivity certificate, bounded enhancement, and explicit falsifiability claims. It packages the ILG kernel and CPM instance rather than deriving new analytic identities from scratch.
claimThe Infra-Luminous Gravity weight $w(k,a)=1+C\cdot(a/(k\tau_0))^\alpha$ is realized as a coercive projection model with Recognition-Science constants; the induced enhancement is bounded; and the theory admits concrete observational falsifiers.
background
Infra-Luminous Gravity (ILG) modifies Newtonian response by a scale- and expansion-dependent weight
$$w(k,a)=1+C\cdot\bigl(a/(k\tau_0)\bigr)^\alpha.$$
Here $k$ is wavenumber, $a$ the scale factor, $\tau_0$ a RS time unit, and $C,\alpha$ constants fixed by the Recognition ladder. The upstream Kernel module records this formula; the CPMInstance module shows that the same weight satisfies the abstract coercive-projection axioms with those RS constants.
This verification module sits one layer above those two imports. Its job is not to re-derive the kernel, but to expose named certificates (coercivity, bounded enhancement, falsifiability) that downstream audits can cite without opening the ILG internals.
proof idea
Definition-and-certificate module, not a single theorem proof. It imports the ILG kernel and the CPM instance, then packages three sibling objects: a coercivity certificate, a bounded-enhancement lemma, and an explicit falsifiability statement. Each is a thin wrapper or direct application of the imported CPM/Kernel facts; no new analytic estimates are proved here.
why it matters in Recognition Science
Recognition Science claims gravity modifications must be coercive and observationally killable. This module is the verification surface for that claim on ILG: it records that the kernel meets the CPM coercivity axioms, that the enhancement stays bounded, and that the theory is falsifiable. Parent consumers are external audits and any future global "all RS gravity models are certified" aggregator; the module itself has no further in-repo used-by edges yet. It closes the verification gap between the formal kernel and the slogan "ILG provides falsifiable gravitational predictions."
scope and limits
- Does not derive the ILG kernel formula or fix C and alpha from first principles.
- Does not prove observational bounds against real survey data.
- Does not address solar-system or GW constraints beyond the abstract CPM axioms.
- Does not claim uniqueness of ILG among coercive modifications.
- Does not discharge any sorry outside the imported Kernel/CPM modules.