IndisputableMonolith.Masses.Ribbons.Tick
The Tick module formalizes the eight-tick clock as the discrete period-8 structure required by the Recognition Science forcing chain. Mass-spectrum researchers cite it when mapping the phi-ladder onto observable particle states. The module supplies only definitions and notation, with no theorems or proofs.
claimThe eight-tick clock is the periodic structure of period $2^3=8$ obeying the octave condition $J(xy)+J(x/y)=2J(x)J(y)+2J(x)+2J(y)$ at each tick.
background
Recognition Science derives all physics from a single functional equation whose forcing chain reaches T7, the eight-tick octave. The module therefore introduces the Tick object to encode this fixed period-8 rhythm on the phi-ladder. It sits inside the Masses.Ribbons namespace and imports only Mathlib, relying on the J-cost and defectDist notions defined in sibling and upstream files.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The eight-tick clock supplies the discrete time step needed by the UnifiedForcingChain to reach T8 (D=3) and the subsequent mass formula yardstick * phi^(rung-8+gap(Z)). It therefore feeds every downstream ribbon construction that converts the phi-ladder into concrete particle masses.
scope and limits
- Does not derive numerical mass values.
- Does not treat continuous-time limits.
- Does not contain simulation code.