The Geometry of Now — Volume II: Coherence Dynamics — Operator Mechanics, Seam-Fragility Signatures, and Tail-Dominated Rupture in the SCFL Framework

The Geometry of Now — Volume II: Coherence Dynamics completes the dual-geometry framework introduced in Volume I, moving from collapse geometry into the measurable dynamics of coherence, rupture, and recovery. This volume develops the Standard Coherence Fidelity Layer (SCFL) control parameter Λ = IW/τ½, resolves rupture as a field process across temporal drift, structural seams, and propagation, and introduces the Rupture Field operator Ř as an explicit, eigenvalue-governed dynamical operator on the seam manifold. Empirical validation draws on the ACTIVSg2000 synthetic Texas grid testbed (2,000 buses). Two findings anchor the volume’s empirical core: (1) the hypothesized spatial co-location between structural coupling K(𝒩) and the control parameter Λ(t) was tested and falsified across all load levels — a robust null result; and (2) two distinct seam-fragility signatures were identified — a high-structural-coupling seam (bus 7389↔8030) and a low-redundancy bottleneck seam (bus 6015↔4174) — which replicated on a 20% holdout set and form the defensible empirical core of the structural-seam operator Ŝ. The volume also formalizes the tensorial extension of Ŝ, gives a closed-form derivation of Ř’s brittle-to-flash eigenvalue transition, defines the Intervention Window (IW) as a geodesic distance on the coherence manifold, and maps institutional phase space across reinsurer, asset-manager, operator, and regulator decision lenses. A discrete-time algorithm (Algorithm A.1) operationalizes Ř for practitioner use, with a proposed 180-day pilot on domain telemetry (e.g., ERCOT reserves, hospital capacity, market liquidity). This is an engineering-grade, empirically-anchored volume; the ontological and philosophical grounding of the canon’s coherence substrate is treated separately in the Coherence-Restoring Operator (CRO₀) paper and Volume I.