This work presents an architectural perspective on phase transitions in adaptive systems, proposing a way to interpret threshold crossings not as static points of comparison, but as structurally meaningful events unfolding in time. While hysteresis, path dependence, and irreversibility are well established in engineering and scientific literature, they are most often represented through local switching rules or parameter-based conditions, where identical numerical values are implicitly treated as equivalent states. The contribution of this work lies in highlighting a class of long-horizon architectural errors that arise when backward movement across a threshold is interpreted as a return to a prior state. Such interpretations ignore the role of accumulated structure, historical context, and directional evolution, and therefore conflate numerical coincidence with structural equivalence. These errors typically do not manifest locally, evade standard correctness metrics, and only become visible through gradual degradation of coherence or loss of system identity. Instead of treating a threshold as a neutral boundary, the work frames it as an event whose meaning depends on the direction and context of system evolution. From this perspective, crossing the same numerical threshold in opposite directions corresponds to distinct structural situations, even when observable parameters coincide. The emphasis is not on introducing new control mechanisms or learning rules, but on providing a minimal architectural lens that allows such distinctions to be made explicit. The approach is implementation-agnostic and can be applied as an overlay to existing adaptive, control, or computational systems. Its novelty is not in the discovery of irreversibility itself, but in the formal articulation of how reversibility assumptions silently enter architectures and how they may be avoided by recognizing thresholds as events rather than points. This framing supports preservation of structural coherence and identity in systems operating over long evolutionary horizons.
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Maksim Barziankou
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Maksim Barziankou (Tue,) studied this question.
www.synapsesocial.com/papers/6971be50642b1836717e2ea2 — DOI: https://doi.org/10.5281/zenodo.18314573