Theoretical analysis demonstrates that concepts missing from fundamental descriptions remain real, indicating that explanation requires a two-way return to target-scale phenomena.
Reduction is commonly pictured as movement toward a more fundamental description.Yet such movement can remove the very vocabulary in which the original question was posed.A thermodynamic variable need not appear as a primitive variable of a microscopic theory;a concrete trajectory question can disappear when mechanics is reformulated variationallyor through Hamilton–Jacobi theory; an effective degree of freedom may be absent from ahigher-energy description while remaining indispensable at the scale at which the phenomenonis studied. We argue that this motivates a simple but underemphasized principle: fundamentalabsence does not imply nonexistence. We distinguish fundamentality, ontological commitment,and explanatory relevance, and formulate what we call the return problem: after a lowerscaleor target-level question has been translated into a more compressed or fundamentalrepresentation, what warrants the return to the level at which the original phenomenon andquestion are defined? We introduce a question-relative criterion of return adequacy. Wefurther argue that the layer in which a question is posed, the layer in which reasoning orsearch is performed, the layer in which a proof or justification is established, and the layer inwhich an answer is expressed need not coincide. An upstream representation is explanatorilyadequate for a target question only when a justified reconstruction or descent recovers thetarget-relevant structures, quantities, and distinctions to the required accuracy. This proposalis compatible with reduction and weak emergence; it does not posit irreducible downwardcausation. Its purpose is instead methodological and ontological: reduction alone does notlicense eliminativism about what disappears from the upstream vocabulary, and a “theory ofeverything” need not thereby be an explanation of everything. Examples from mathematics,game-playing systems, classical mechanics from variational formulations through Hamilton–Jacobi theory, statistical mechanics, renormalization, and effective field theory illustrate theframework. We conclude that scientific explanation is often not a one-way search for deeperlaws but a two-stage task: compress upward as far as useful, then return to the coordinatesin which the phenomenon of interest actually exists.
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Yoshiki Ueoka (2026) studied this question.
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