IndisputableMonolith.Physics.GravitationalConstantPrecision
The module states the empirical hypothesis that G matches the RS-derived Planck gate identity G = λ_rec² c³ / (π ħ) using constants from the framework. Metrologists and fundamental physicists would cite it for precision tests of derived constants. It is a hypothesis module containing no proofs, only the stated claim, test protocol, and falsifier threshold.
claimThe gravitational constant satisfies $G = \lambda_{ m rec}^2 c^3/(\pi ar{h})$ where the right-hand side uses RS-derived constants with $c=1$ and $ar{h}=\phi^{-5}$.
background
The module imports IndisputableMonolith.Constants, whose sole documented definition is the fundamental RS time quantum τ₀ = 1 tick. Recognition Science expresses all constants in native units (c = 1, ħ = φ^{-5}, G = φ^5/π) obtained from the J-uniqueness fixed point and the eight-tick octave. The module supplies the empirical interface that equates the macroscopic G to the Planck-gate expression built from those units.
proof idea
This is a hypothesis module, no proofs.
why it matters in Recognition Science
The module supplies the gravitational-constant hypothesis that later derivations in the Recognition framework can invoke when closing the loop from the forcing chain (T5–T8) to observable constants. It directly encodes the paper proposition that G must equal the derived Planck identity, with the 22 ppm falsifier serving as the empirical gate.
scope and limits
- Does not contain a Lean theorem proving the equality.
- Does not define or compute the numerical value of λ_rec.
- Does not assert that current measurements already satisfy the 22 ppm bound.
- Does not import or reference any experimental data sets.