pith. machine review for the scientific record. sign in
module module high

IndisputableMonolith.Gravity.ILG

show as:
view Lean formalization →

The ILG module supplies the time-kernel weight function w_t together with its reference identity w_t(τ0, τ0) = 1 under nonzero tick. Modified-gravity and recognition-physics researchers cite it when they need the base objects that link recognition lag to effective dynamics. The module consists entirely of definitions and properties; it contains no proof bodies.

claim$w_t(τ_0, τ_0) = 1$

background

The module resides in the Gravity domain and introduces the core objects of Information-Limited Gravity. It defines the time-kernel w_t that encodes the recognition lag C_lag = φ^{-5} together with the associated weight functions. The setting inherits the Recognition Composition Law and the eight-tick octave from the upstream forcing chain.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

These definitions are re-exported by the Gravity facade and supply the base objects for the ILG time-kernel derivation theorem, which states that w_t is uniquely fixed by C_lag = φ^{-5} and the fine-structure exponent α. The same objects are imported by the spatial-kernel module (C = φ^{-2}) and by RotationILG.

scope and limits

used by (6)

From the project-wide theorem graph. These declarations reference this one in their body.

declarations in this module (22)