SΔϕ-56 — Transition Completion Cost: Cost as Restabilization after Irreversible Trace

This working paper redefines Transition Completion Cost (TCC) within the Sofience–Δϕ Formalism by correcting a key assumption in ordinary rollback language. Rollback is not return. Once a transition has occurred, the original state cannot be fully restored, because the event leaves an irreversible trace. What is commonly called rollback is therefore not a movement back to the pre-event state, but the construction of a new acceptable stable state after an irreversible trace has already entered the system. The paper defines cost not as repetition, frequency, monetary expense, or subjective burden alone, but as the weighted friction required to complete, verify, correct, or restabilize a transition after…