IndisputableMonolith.Constants.Codata
The Constants.Codata module supplies the RS-native values for the speed of light, reduced Planck constant, and gravitational constant. Researchers deriving mass spectra on the phi-ladder or checking the alpha band would reference these to set units. It contains direct definitions of c, hbar, G together with proofs of positivity and nonzeroness.
claimIn Recognition Science units the constants are defined by $c = 1$, $hbar = phi^{-5}$, $G = phi^5 / pi$, each accompanied by proofs that the value is positive and nonzero.
background
Recognition Science derives all physics from the J-cost functional and the Recognition Composition Law. This module in the Constants domain fixes the three fundamental constants to align with the self-similar fixed point phi and the eight-tick octave. The definitions set c = 1 as the exact speed of light in these units while hbar and G follow from phi scaling. Positivity follows from phi > 1 and standard real arithmetic.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module provides the constant values required by the mass formula yardstick * phi^(rung - 8 + gap(Z)) and the Berry creation threshold. It supports parent results on the phi-ladder rung assignments and the alpha inverse interval (137.030, 137.039). It serves as the base layer for all numerical evaluations in the framework.
scope and limits
- Does not derive the constant values from the T0-T8 forcing chain.
- Does not include the fine structure constant alpha.
- Does not address codata structures beyond the name.