IndisputableMonolith.Constants.ILG
The ILG module defines the lag parameter C_lag and locked alpha value that anchor modified gravity in Recognition Science. These constants are used when recognition throughput exceeds holographic bounds and forces batching over 8-tick cycles. Researchers deriving ILG gravity from recognition events cite the module for its explicit phi-based expressions and positivity lemmas. The module supplies only definitions and elementary bounds.
claim$C_{lag} = phi^{-5}$, $alpha = (1 - phi^{-1})/2$
background
The module lives inside the Constants section and imports the base RS time quantum tau_0 = 1 tick. It supplies the ILG parameters that appear when holographic information bounds limit recognition events per unit time. Recognition cost per bit is k_R = ln(phi) and the eight-tick cadence governs the batching that produces the ILG time kernel w_t > 1.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The definitions feed directly into Bandwidth Saturation, where Newtonian dynamics exceeding the holographic bound trigger batching that is identified with the ILG kernel, and into Recognition Bandwidth, which connects the holographic bound, k_R = ln(phi), C_lag, alpha, and the 8-tick cadence. The module therefore closes the parameter list required for those unification arguments.
scope and limits
- Does not derive C_lag or alpha from the J-functional.
- Does not prove that these values are the unique fixed points.
- Does not contain numerical comparisons to measured alpha.
- Does not address higher-order corrections beyond the locked values.