Generative Emergence: Selective Continuity, Autonomous Levels, and Hierarchical Composition

Historical accumulation can change not only the organization available to a process but also the units from which subsequent organization can be generated. This paper develops an operational account of that change within the ortropy framework. A generative level is assessed through a joint state-and-outcome interface, the historical pathway that implements it, and its causal participation in later formation. Controlled marked kernels separate predictive adequacy from physical continuity and efficacy. Stable partition refinement identifies unresolved distinctions, while a substitution result specifies when a formed unit can be reused in downstream processes without reopening its microscopic description. Uniform defects yield finite-record error bounds; temporal distinguishability bounds identify what must remain available across a generative relay. A finite model then distinguishes repairing a description from forming an organization. Independent noisy components require a finer count description, whereas the assembly of a collective restoration mechanism makes their majority an autonomous operational variable. The resulting unit preserves a selected distinction and changes the probability of forming another maintained unit. Severing this relay preserves average downstream formation under a symmetric preparation while eliminating its dependence on the ancestral distinction. An exact minimax closure defect and a two-mode relay calculation separate the adequacy and efficacy of imperfect restoration. Hierarchical composition is subsequently separated from indefinite innovation: a strict quotient tower over a fixed finite state space terminates, and continued construction requires additional mechanisms, resources, and stage-dependent reliability. The contribution is a connected account of how a historically formed whole becomes a reusable generative unit, with explicit mathematical guarantees, causal contrasts, and limits, rather than a universal law of increasing hierarchy.

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