IndisputableMonolith.Constants.KDisplayCore
This module defines clock-side display quantities for Recognition Science, centered on the period τ_rec(display) = (2π τ₀)/(8 ln φ). Researchers deriving dimensionless ratios or native-unit constants would cite it when bridging tick time to observable periods. It is a definition module consisting solely of display expressions with no proofs.
claim$\tau_{\rm rec}({\rm display}) = \frac{2\pi \tau_0}{8 \ln \phi}$, where $\tau_0 = 1$ tick is the fundamental RS time quantum.
background
The module imports IndisputableMonolith.Constants, whose doc-comment states that τ₀ is the fundamental RS time quantum (RS-native) with τ₀ = 1 tick. It introduces display definitions for clock-side quantities that convert the base tick into observable periods using the golden-ratio fixed point φ. The local theoretical setting is the RS-native unit system that treats ledger primitives as base standards, allowing all physics to be expressed without reference to SI.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module feeds the KDisplay module, whose doc-comment describes the dimensionless bridge ratio K and display equalities, and the RSNativeUnits module, which defines the full tick/voxel/coh/act measurement system. It supplies the explicit clock-side display definition required to express physical constants in RS-native units.
scope and limits
- Does not contain theorems or proofs.
- Does not derive φ or the forcing chain T0-T8.
- Does not reference SI units or external anchors.
- Limits scope to clock-side display expressions only.