IndisputableMonolith.Constants.KDisplayCore
This module defines the clock-side display time τ_rec(display) as (2π τ₀)/(8 ln φ) using the fundamental RS time quantum τ₀. Researchers modeling recognition processes in native units cite it to link periodic displays to the eight-tick octave. It is a definition module consisting solely of the stated formula with no proofs.
claim$τ_{rec}(display) = (2π · τ_0) / (8 ln φ)$ where τ_0 denotes the fundamental RS time quantum of one tick.
background
The upstream Constants module sets τ_0 as the fundamental RS time quantum equal to one tick. KDisplayCore introduces the display-specific form of the recognition time τ_rec, expressed for clock-side presentations. The formula incorporates the factor 8 in the denominator to reflect the period-2^3 octave structure and the logarithm of φ drawn from the self-similar fixed point.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the display definition that feeds the dimensionless bridge ratio K and display equalities in KDisplay. It also supports the RS-native unit system in RSNativeUnits, which treats ledger primitives as base standards so that all physics can be expressed without reference to SI.
scope and limits
- Does not derive the formula from the T0-T8 forcing chain.
- Does not compute numerical values or convert to SI units.
- Does not address spatial dimension D=3 or mass-ladder rungs.