The Structure and Tradeoffs of Emergence

This paper addresses a question left open by two preceding studies: Why do higher-layer systems find it increasingly difficult to maintain the structural conditions for information retention? The first study (Ono 2026a) established three necessary conditions for information retention—fluidity, indeterminacy (LEFFLA), and feedback-time coherence—across hierarchical layers from physics to civilization. The second study (Ono 2026b) derived these conditions deductively from the Second Law of Thermodynamics and diagnosed cost-shifting structures specific to civilization. However, neither study identified the general mechanism by which higher layers become structurally prone to violating these conditions. This paper proposes that information compression—the extraction of effective variables from lower-level diversity—is the necessary condition for the emergence of any higher-layer system. The same compression, however, inevitably co-produces LOT (Latent Outer Tail): a domain within the connectivity horizon that becomes referentially inaccessible to the system's own feedback circuits. LOT is thus an existential fate of any emergent system, not a pathology. The paper distinguishes lifespan (lawful exhaustion of LEFFLA) from premature collapse (feedback failure while LEFFLA still remains). Three pathways to premature collapse are identified: selection excess, reduction excess, and mediation severance. It is further shown that civilization, through its representational and causal-operational capacities (MANES), can export premature-collapse pathways to lower layers that would not otherwise possess them. A semi-formal framework relating compression degree, effective LEFFLA width, and LOT expansion is introduced. While absolute optimal values cannot be specified, the paper demonstrates that a sustained negative trend in the rate of change of effective LEFFLA constitutes a diagnostic signal of approaching feedback failure, and that a critical threshold exists below which self-correction becomes impossible without external intervention. The practical aim of this theory is not to predict inevitable collapse, but to identify the conditions under which premature collapse occurs and to delineate the space of avoidability.