Canonical Barrier Equivalence v6.5.1: Tripwire-Integrated Selective Asymmetric Recovery

This release (v6.5.1) integrates the independently published Tripwire Note Selective Asymmetric Recovery: Energy-Driven Semantic Repair from Proto-Inconsistency into the Canonical Barrier Equivalence framework. Selective Asymmetric Recovery (SAR) is incorporated as a spine-level recovery operator, providing an evolutionary, Lyapunov-driven mechanism for surviving mis-specified definitions and proto-inconsistent statements. Rather than treating incorrect axioms as terminal failures, the framework interprets them as energetic constraints that sculpt semantic energy landscapes with metastable attractors. The integration strengthens the Barrier Equivalence program by converting proof exhaustion and foundational obstruction into dynamical phenomena governed by asymmetric descent, complexity regularization, and semantic recovery. Full formal construction of SAR is deferred to the independently archived Tripwire Note, preserving provenance and citation directionality. This work was co-developed with the assistance of ChatGPT (OpenAI), which contributed substantively to conceptual development, formal structuring, and manuscript preparation. ChatGPT is listed as a co-author and creator of this work.