CALLIOPE · BCOM

Kolmogorov Theory (KT) is an algorithmic-information framework seeking unified insights into complexity, biology, intelligence, and subjective experience. KT adopts a stance akin to monistic idealism or panpsychism, positing experience as fundamental, and investigates how structured experience arises from mathematical structures. Reality, in this view, is a computational construct driven by algorithmic compression. We discuss how persistent algorithmic patterns emerging within an “algorithmic soup” give rise to agents—entities optimized for survival by capturing structured information. Agents propagate their informational identity across generations by steering action to maximize future self-information (telehomeostasis). Essential components of agents include an information membrane, a modeling engine, an objective function, and a planning module. Driven by survival imperatives, agents rely on lossy compression via coarse-graining (emergence of simplicity) and valence (goals) as fundamental cognitive mechanisms. Structured experience and subjective reality naturally emerge from these computational processes, providing further links with foundational physics themes such as symmetry. We further explore core KT concepts—models, life, intelligence, emotion, emergence, and multi-agent systems—in an interdisciplinary context, highlighting how algorithmic complexity and computational modeling illuminate fundamental questions concerning nature, mind, and reality.

Reality is just compression all the way down: a manifesto arguing that life, mind, and physics are all facets of one thing — algorithmic information processing.

Kolmogorov Theory (KT) starts from a bold ontological bet: experience is fundamental, not derived. Rather than asking "how does consciousness emerge from matter?", KT flips the question and asks "how does structured experience emerge from raw, undifferentiated awareness?" The answer it proposes is mathematical. The universe is an "algorithmic soup" — a vast computational substrate — and what we observe in it, including ourselves, is whatever happened to persist. Persistence is the selection pressure. Diamonds persist through passive structural stability. Living agents persist by actively building internal models of their environment and steering their behavior to keep themselves intact. KT calls this drive telehomeostasis: not just moment-to-moment stability, but the maximization of Kolmogorov mutual information between an agent's present state and its future state — staying algorithmically "the same" over time.

An agent, formally defined here, is a triple: a compressive predictive model (a world model), a telehomeostatic objective function, and a selector that picks actions maximizing future self-information. What makes this definition interesting is that it is implementation-free. Neurons, silicon, or hydraulic cogs are just different embodiments of the same abstract mathematical object. A corporation, an ant colony, and a human body all qualify as agents under the same criteria — provided they exhibit tele-homeostasis, maintain an internal model of their niche, plan actions, and optimize a scalar objective. The paper works through each of these cases explicitly.

Intelligence, in this framework, is not mysterious. It is the efficacy of a simulate-and-select loop running inside the world model. Fluid intelligence is the ability to induce new models when prediction errors stay high; crystallized intelligence is the reuse of established model fragments. Emotion is the agent's internal readout of how well its model is serving its goals — valence is literally the numerical output of the objective function. Consciousness (structured experience) is what it feels like to run a rich, well-fitted world model. KT sidesteps the hard problem by not trying to explain why there is experience at all — it takes experience as given — and instead explains only why experience has the structure it does, which it attributes to the structure of the underlying generative model.

The paper is explicitly a manifesto and position document, not an empirical study. Large sections read as programmatic — listing open questions, sketching formal definitions, and gesturing at connections to physics (superdeterminism, the measurement problem, spacetime as emergent coarse-graining) without fully closing the arguments. The mathematical definitions are precise where they appear, but the links to foundational physics remain speculative. The source does not make the empirical testability of several core claims explicit. What it does deliver is a coherent, self-consistent vocabulary for talking about life, mind, and reality as a single phenomenon — one where the same compression-and-persistence logic operates at every scale, from a crystal to a civilization.