Arché - A Structural Threshold Law under Temporal Compression in Complex Systems

Version 1.1 – Updated preprint. This version introduces:– refined ecological framing of regime shifts– revised abstract– integrated figures and use cases– updated keywords aligned with ecological resilience literature Complex systems do not fail by accumulation alone. They transform when integration compresses the space of accessible configurations beyond structural tolerance. This paper formulates a general Threshold Law for complex relational fields, arguing that increasing integration systematically reduces effective reversibility and reshapes the topology of possibility. Rather than predicting events, the law identifies the structural condition under which a field cannot remain dynamically identical to…