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Formal work demonstrates challenges in achieving comprehensible and controllable representations in complex systems, suggesting implications for modeling.
This work formalises why no representation can be at once faithful to reality, comprehensible, and able to confer control. From a single axiom, every observation is a finite-capacity channel, follows a hard ceiling: no model knows more about reality than its sensor let through. Below that ceiling, for complex systems, precision, comprehensibility and controllability lie on a Pareto frontier and cannot be jointly maximised. The original contribution is the reflexive layer: a built controller acts inside the system it regulates, so its own complexity becomes variety that oversight must absorb. It is stated as three falsifiable hypotheses, with an experimental programme and a meter in bits, injected variety, control gap, reflexive opacity, to measure them.
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Marco Galli (2026) studied this question.
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