CRR Living Sunrise - Enhanced Murmuration

⟨ CRR FRAMEWORK ⟩

Coherence-Rupture-Regeneration by Alexander Sabine

C(x,t) = ∫L(x,τ)dτ — Coherence accumulation

δ(now) → Rupture at C ≥ Ω — Scale-invariant transition

R = ∫φ·exp(C/Ω)·Θ(...)dτ — Memory-weighted regeneration

Ω = 1/π (Z₂) | 1/2π (SO(2)) — Symmetry determines Ω

k = 7 topological neighbors — Scale-invariant interaction

CRR rupture → new move — Choreographed pattern changes

Moves: vortex, wave, split, breathe, ribbon, column, sweep, tornado

cohesionMult ∈ [0.7, 1.8] — Pattern-specific tightness

angularMom drives swirl — Per-move rotation

Ω = 1/π ≈ 0.318 — Shimmer intensity pulsing

Intensity ∝ exp(C/Ω) — Memory-weighted glow

C(s) = ∫ L·n(λ)·ds — Phase accumulation in droplet

Ω(λ) = π·n(λ) — Z₂ symmetry at boundaries

θ_primary ≈ 42° | θ_secondary ≈ 51° — Emergent caustic angles

Ω_pred = 0.4 — Longer coherence cycles

v_dive = 180·smoothAmp — Peak at rupture

Scintillation via CRR — Atmospheric turbulence

Ω ∝ altitude × brightness — Horizon stars twinkle more

Chromatic shift ∝ CRR amplitude — Color shimmer

Click to zoom → stellar disk — 9,940 K · 25.4 L☉

Granulation = SO(2) CRR — Convective cells ~8 min

P-mode oscillations — τ ≈ 46 min standing waves

Curtains = SO(2) CRR — Charged particle coherence

Intensity ∝ CRR amplitude — Ruptures = brightness pulses

Ice crystal refraction — CRR density fluctuations

Bat Ω = 0.04-0.07 — Lower = erratic flight

Owl Ω = 0.12 — Patient hunter

Day/Night cycle: sunrise → day 60s → sunset → night 60s

cohere.org.uk | Z₂→Ω=1/π, SO(2)→Ω=1/2π