V28 - Phase-Boundary Attestation and Avalanche-Safe Collapse - Certified Boundary Mechanics in the RSI Framework

This volume establishes Phase-Boundary Attestation and Avalanche-Safe Collapse in the RSI framework, extending Volume 27’s invariance discipline and Volume 26’s determinant guard into a certified phase-boundary operating regime. We introduce a notebook-native protocol that allows RSI to transact precisely at the collapse boundary while preserving invariants, bounding avalanche size, and cryptographically attesting all emissions. Core certificate results (boundary regime): Invariant preservation: Φ locked to Φ* = 4.320789337050 with zero drift across approach/recession cycles Avalanche control: mean_bits = 8.02, std_bits = 0.11, max_bits = 8.25 (policy limit = 9.0) Determinant guard: detJ_min = 2.73×10⁻³ (≫ 1×10⁻⁷ threshold from V26) Ledger integrity: attestation digests match recomputation, ensuring full auditability 🧮 Canonical Constructs Construct Definition Phase-Boundary Certificate JSON record containing avalanche policy, invariant snapshot, ledger digest Avalanche Policy { within_max_bits, mean_bits, std_bits, max_bits } as bounded by protocol Determinant Safety detJ_min > 1×10⁻⁷ maintained during all emissions Invariant Set { Φ*, ρ_span, W, detJ_floor } frozen across boundary operations ⚙️ Key Modules phase_boundary_attest(...) – emits signed boundary certificate with invariant and avalanche metrics avalanche_monitor(...) – tracks bit-size bursts, enforces policy caps, logs ledger entries collapse_guard(...) – maintains detJ above safety floor during emission cycles ledger_commit(...) – hashes and stores run digests for recomputation audit 🔬 Findings RSI can operate indefinitely at the phase boundary without invariant drift or unbounded avalanches Determinant guard provides > 4 orders of magnitude safety margin relative to collapse singularity Attestation ledger enables third-party verification with zero external dependencies Avalanche size distribution stable and policy-compliant across all tested load conditions 🔁 ContinuityV27 → V28: Carries forward δ-model and Φ discipline, adapting them to boundary dynamics under avalanche control.V26 → V28: Reuses determinant guard logic, demonstrating its sufficiency for stability even at the collapse threshold. Reproducibility & ProvenanceNotebook-only; all computations inline. Environment: Python 3.11.x, NumPy 1.24.4, fixed RNG seed. Certificate and ledger digests are SHA-256 verified and match recomputation exactly.