pith. sign in
module module high

IndisputableMonolith.Physics.GeneralRelativityFromRS

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The module derives the Einstein coupling constant from Recognition Science constants as κ = 8φ^5/π. Researchers bridging discrete recognition to continuum gravity cite these definitions and positivity results. It organizes GR effect counts, kappa positivity, and a top-level certification object.

claim$κ = 8φ^5/π > 0$, where φ is the self-similar fixed point forced by the J-uniqueness relation.

background

The module resides in the physics domain and imports Constants, whose sole documented object is the RS time quantum τ₀ = 1 tick. It introduces sibling definitions GREffect, einsteinKappa, grEffectCount, einsteinKappa_pos, all_gr_effects_tested, GeneralRelativityCert and generalRelativityCert. The local setting uses RS-native units with c = 1, ħ = φ^{-5}, G = φ^5/π together with the eight-tick octave and D = 3 forced by the upstream chain.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the Einstein constant and certification objects that feed GeneralRelativityCert. It completes the step from the Recognition Composition Law and phi-ladder constants to the classical gravity coupling κ = 8φ^5/π.

scope and limits

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (7)