IndisputableMonolith.Spectra.SpectralLadder
SpectralLadder module defines base frequency f0 together with rail factor, frequency-on-rail, sum8 and eight-gate-coherent constructions for the spectra domain. It accepts f0 from the caller or defaults to the fit-free value 1/(2π τ0) drawn from the RS time quantum. Researchers building spectral ladders or coherence models cite these definitions. The module contains only definitions and no theorems.
claimDefault base frequency $f_0 = 1/(2π τ_0)$. Rail factor, frequency on rail $f(r)$, eight-term sum, and coherent eight-gate frequency, all parameterized by supplied $f_0$ or the default above.
background
The module imports Constants, whose sole content is the definition of the fundamental RS time quantum τ₀ = 1 tick. It supplies spectral-ladder objects that start from a caller-provided base frequency f0 (example: E_coh/h) and offers the default fit-free choice 1/(2π τ0) drawn from RS gates. Sibling definitions railFactor, frequencyOnRail, sum8 and eightGateCoherent implement the ladder steps.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
Supplies the spectral-ladder infrastructure required by the Spectra domain. It converts the RS time quantum τ₀ into frequency rails that support eight-tick octave and coherence calculations downstream in Recognition Science.
scope and limits
- Does not derive numerical spectra from first principles.
- Does not prove relations between rails and physical observables.
- Does not handle units outside RS-native conventions.
- Does not extend the ladder beyond eight gates.