SΔϕ-26 — Irreversibility as Restoration Cost Explosion: Minimal Fixation Conditions after Pre-detection (v1.0)

This paper extends SΔϕ-25 by providing a minimal operational criterion for event fixation. Whereas SΔϕ-25 introduced pre-detection as the condition in which difference is already operative before it becomes detectable or eventfully registered, the present paper asks when such difference becomes irreversibly fixed. The central claim is that irreversibility should not be defined as absolute impossibility of reversal, but as the condition in which restoration cost exceeds the threshold of practical return. Under this formulation, reversibility is not a matter of formal logical possibility alone. A transition is reversible only when restoration remains available at sufficiently low cost. Conversely, a transition…