Hysteresis as Cosmic Geometry: Why Time Imprints Structure and Return Requires Re-Ordering

This paper investigates why once-formed systems persist long after their original causes have disappeared.Across psychological, social, material, and physical domains, reversal is consistently slower and more difficult than formation.We argue that this asymmetry is not primarily energetic or motivational, but temporal and topological. Building on the Phase-Ordering Time (POT) framework and the IPCSALT–UPF model, the paper introduces Return Threshold Shift (RTS) as a formal marker of hysteresis:if a transition from state A to B requires energy E, the return from B to A requires E + ΔEₕᵧₛ, where the excess grows with accumulated ordering time (τ). This hysteresis cost manifests as narrowed rollback paths, reduced intervention windows, and buried alternatives—collectively described as Φᴰᵃʳᵏ (structural memory).Using the Minimal Measurement Set (MMS) and the Two-Surface Model (Φ_obs / Φ_exp), the paper shows how surface-level change can occur without structural return, producing systematic misdiagnosis. Through three cross-domain sketches—burnout recovery, institutional reform, and material hysteresis—the paper demonstrates that persistence reflects τ-limited re-ordering, not resistance or failure. Finally, the paper proposes falsifiable predictions linking hysteresis loop geometry, RTS inflation, and τ-scaling across domains, and outlines how similar phase-ordering asymmetries may extend to cosmological phase transitions. Persistence, the paper concludes, is not inertia.It is time written into structure.