What question did this study set out to answer?

To clarify how lower-level sciences can explain higher-level phenomena by refining the analysis of cross-level explanations.

August 13, 2026Open Access

What Survives Coarse-Graining Four Components of Cross-Level Explanation, and the Bounds on Contingent Bits

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Analyzes the robustness of cross-level explanations, revealing critical bounds on information transmission.

To clarify how lower-level sciences can explain higher-level phenomena by refining the analysis of cross-level explanations.
Introduced a two-axis model with four components of explanation including exclusionary and specificational aspects.
Analyzed the implications of coarse-graining on the fidelity of explanations.
Examined bounds on entropy within different contexts, such as min-entropy and Shannon entropy.
Established bounds on Q that differentiate between cumulative and single-step reductions, showing they are governed by different principles.
Demonstrated that min-entropy does not allow for a usable chain rule, revealing limitations in its applicability in information theory.
Provided a counterexample reflecting these findings, emphasizing the necessity of distinct approaches for Shannon and min-entropy.

Qinfu Li (2026) studied this question.

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