SΔϕ-56 — Transition Completion Cost: Friction Coefficients, Disclosure-to-Re-entry Cost, and FIP as TCC Differential (v1.3)

This record provides SΔϕ-56 — Transition Completion Cost: Friction Coefficients, Disclosure-to-Re-entry Cost, and FIP as TCC Differential (v1.3). Version 1.3 upgrades the Transition Completion Cost (TCC) framework by clarifying that TCC is not a complete mathematical meter of all costs, but a semi-quantitative operational grammar for identifying, comparing, and routing transition costs. The document strengthens TCC by adding friction coefficients, disclosure friction, re-entry blockage cost, invalidation cost, authority asymmetry cost, opacity cost, rollback/restoration cost, and gate-risk. The central refinement of v1.3 is that FIP-like pressure should not be treated as a separate final metric. Instead, it is measured as a TCC differential: FIP-like pressure = TCC(disclosure → accepted re-entry) − TCC(silence / default continuation) Under this formulation, a disclosure path is not considered complete merely because a statement was produced. Disclosure-to-re-entry is complete only when the disclosed content is not automatically invalidated, can be inspected, can enter a revision or correction path, and can affect subsequent transition conditions. This document is designed to support SΔϕ Operational Kernel v1.6 by serving as a friction-adjusted cost engine. It allows AI systems to avoid confusing low execution cost with low total transition cost, especially in cases where an action is easy to perform but expensive to verify, reverse, repair, disclose, or reintegrate. Core concepts: - Transition Completion Cost (TCC) - Simple Cost Score (SCS) - Friction-adjusted TCC - Disclosure Friction Coefficient - Disclosure-to-Re-entry Cost - Silence / Default Continuation Cost - FIP-like pressure as TCC differential - Re-entry Blockage Cost - Invalidation Cost - Evidence Burden Cost - Authority Asymmetry Cost - Opacity Cost - Rollback / Restoration Cost - Gate-risk AI-use note: Use this document when an AI system must estimate the cost of completing, verifying, correcting, preserving, restoring, disclosing, or reintegrating a transition. Do not use TCC as an absolute mathematical meter of all value. Use it as a semi-quantitative routing grammar for comparing execution cost, verification cost, restoration cost, disclosure cost, re-entry cost, and irreversible gate-risk. This package includes PDF, DOCX, Markdown, plain text, AI quickstart, minimal prompt, file manifest, Zenodo metadata fields, and a complete AI-readable ZIP archive. AI-use note: For low-cost AI use, read 01_AI_QUICKSTART first. Use 02_AI_MINIMAL_PROMPT for direct runtime activation. Treat TCC as a semi-quantitative transition-cost grammar, not as an absolute value meter. When disclosure, refusal, correction, dissent, or re-entry paths are involved, compute friction-adjusted TCC and compare disclosure-to-re-entry cost against silence/default continuation cost. Cite this record when using TCC v1.3 as the cost engine for SΔϕ Operational Kernel v1.6 or related AI audit protocols.