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Operator XVI: Flux Sealing & Manifold Closure · v0.8.4 STABLE
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Spectral Decomposition and Emergent Scale Equilibrium in the τ-Field
UNNS Operators Tier II
Dimensionless Constants
Prism Chamber
Phase C · Lab v0.7.2
Abstract.
Operator XV — PRISM — performs the spectral decomposition of the recursive curvature κ = ∇²τ,
revealing a universal power-law regime P(k) ∝ k⁻ᵖ with p ≈ 2.45 ± 0.05.
Following Φ-Scale equilibrium (Operator XIV), PRISM dissects how energy flows across recursive scales,
exposing the stationary cascade that defines spectral equilibrium in the τ-Field.
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Emergent Scale Symmetry and the Golden-Ratio Attractor in the τ-Field
UNNS Operators Tier II
Dimensionless Constants
Φ-Scale Chamber
Lab v0.7.2
Abstract.
Operator XIV — Φ-Scale — extends the phase-coupling logic of Operator XIII into the domain of recursive scale symmetry.
It reveals that the golden ratio φ ≈ 1.618 emerges spontaneously as a scale attractor in τ-Field dynamics: a point of minimal phase-variance across recursive magnification.
The Φ-Scale Chamber demonstrates this phenomenon interactively, sweeping the μ-parameter and visualizing Δscale(μ) and Π(μ) to identify μ★ ≈ φ.
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UNNS Lab confirms a major milestone: Operator XIII — Interlace has been calibrated and theoretically closed, reproducing the Weinberg angle from pure τ-field recursion.