Clockability Under Interface Degradation Stability Bands and Failure Modes in Trace-Based Temporal Comparability

This technical note investigates the robustness of clockability under controlled degradation of the recording interface. Clockability has previously been introduced as an operational criterion specifying when temporal ordering statements are physically legitimate based on trace persistence, accessibility, and contextual comparability.

Here, the analysis focuses on how temporal comparability behaves when the trace interface is modified while underlying dynamics remain fixed. By introducing controlled degradations such as temporal coarse-graining, trace dropout, and jitter, the study shows that clockability admits stability bands rather than behaving as a binary property.

A Stable Clockability Band (SCB) is defined to characterize regions of interface perturbation within which ordering invariants are preserved. Beyond this band, drift regimes and collapse phases emerge. A key structural result is the identification of precision non-sufficiency: increasing measurement resolution alone does not restore temporal legitimacy once structural trace compatibility has been compromised.

These findings clarify the operational limits of temporal applicability and reinforce clockability as a robustness-based constraint on temporal description across distributed systems, measurement architectures, and complex physical regimes.