The entropy–variety divergence conjecture for unexpectedness

Let UU denote unexpectedness in Simplicity Theory, with causal or generative complexity describing the world and description complexity describing the observer. Let generative entropy refer to the entropy associated with the world’s causal processes, and let descriptive variety refer to the variety represented by the observer. Entropy–variety divergence conjecture. Unexpectedness, at systemic level, captures a divergence between the (generative) entropy of the world and the (descriptive) variety of the observer. This conjecture connects unexpectedness to a systemic comparison between world-generation and observer-description, extending the framework beyond individual situations. The source does not give a formal divergence measure, proof, or resolution.

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Primary source

Giovanni Sileno and Jean-Louis Dessalles, “Three Conjectures on Unexpectedeness”, arXiv:2311.08768 (2023).

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