IndisputableMonolith.Physics.GravitationalConstantPrecision
This module states the hypothesis that the gravitational constant G equals the value from the Recognition Science Planck gate identity using derived constants. Experimental physicists comparing RS predictions to measurements of G would cite it. The module declares the empirical hypothesis, evaluation protocol, and falsifier with no internal proofs.
claim$G = λ_{rec}^2 c^3 / (π ħ)$ where the constants are obtained from the RS derivation in native units.
background
Recognition Science derives physical constants from a single functional equation via the forcing chain T0-T8. This module imports the Constants module, which defines the fundamental RS time quantum τ₀ = 1 tick. It places the gravitational constant in the context of the phi-ladder and eight-tick octave, expressing G via the Planck gate identity.
proof idea
This is a hypothesis module with no proofs. The structure consists of the statement of the empirical hypothesis, the test protocol evaluating G = λ_rec² c³ / (π ħ) from RS constants, and the specified falsifier.
why it matters in Recognition Science
The module supplies the empirical interface for the derived gravitational constant G = phi^5 / π, supporting validation of the Recognition Science constants against measurement. It connects to the forcing chain landmarks and the mass formula on the phi-ladder. No downstream theorems are listed.
scope and limits
- Does not derive G from the functional equation without RS constants.
- Does not include higher-order corrections or quantum effects.
- Does not specify the numerical value of λ_rec.
falsifier
Measurement of G deviating from the derived value by > 22 ppm.