Kolmogorovin

Kolmogorovin is a fictional mathematical construct used in speculative fiction to explore generalized notions of randomness and information flow. In the in-universe framework, it replaces strict stationary assumptions with a scale-dependent randomness parameter, allowing the degree of predictability to vary across contexts.

The core idea is a family of probability distributions indexed by scale, with a modified consistency condition that permits local non-stationarity while preserving coherence across nested levels. Proponents describe Kolmogorovin as a bridge between classical probability and adaptive models of complexity, where local structure can differ while global patterns remain analyzable.

Within its fictional setting, Kolmogorovin has been used to model data transmission in heterogeneous networks, ecological dynamics with seasonally shifting noise, and economic processes where information asymmetry evolves over time. Authors employ it to discuss how small-scale randomness can cascade into large-scale structure.

Origin stories vary by work, but the term is generally attributed to a collaborative effort among fictional researchers seeking a unified language for scale-dependent randomness. In-universe scholarship debates its implications for determinism, modeling validity, and connections to real-world theories, situating Kolmogorovin as a thought experiment rather than a proven framework.

Related concepts in the fiction include Kolmogorov-like axioms and fractal processes.