IndisputableMonolith.Spectra.SpectralLadder
The SpectralLadder module supplies base frequency f0 and rail definitions for constructing RS spectra from eight-gate structures. It would be cited when building frequency ladders or coherent sums in the Spectra domain. The module consists entirely of definitions that draw the time quantum from the Constants import and expose railFactor, frequencyOnRail, sum8, and eightGateCoherent.
claimThe module defines the default base frequency $f_0 = 1/(2\pi \tau_0)$ with $\tau_0$ the RS time quantum, together with railFactor for scaling, frequencyOnRail for placement on rails, sum8 for the eight-tick sum, and eightGateCoherent for octave coherence.
background
The module sits in the Spectra domain and imports Constants, whose sole documented object is the fundamental RS time quantum $\tau_0 = 1$ tick. Its own definitions begin from the supplied doc-comment that a fit-free choice for the base frequency is $1/(2\pi \tau_0)$ (e.g., $E_{\rm coh}/h$). The sibling declarations railFactor, frequencyOnRail, sum8, and eightGateCoherent implement the rail scaling, frequency placement, eight-term summation, and coherence condition that together realize the eight-tick octave.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the frequency primitives required by any downstream spectral construction in Recognition Science. It directly supports the eight-tick octave (T7) of the forcing chain and supplies the base frequency used in mass-ladder and alpha-band calculations. No used_by edges are recorded, indicating it functions as an interface layer rather than a terminal theorem.
scope and limits
- Does not derive $\tau_0$ or any RS constant from the forcing chain.
- Does not prove coherence or closure of the eight gates.
- Does not connect frequencies to the phi-ladder or mass formula.
- Does not perform numerical evaluation or fitting against data.