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Limiting Reduction and Modified Gravity

Antoniou, Antonis and Lorenzetti, Lorenzo (2025) Limiting Reduction and Modified Gravity. [Preprint]

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Abstract

Modified Newtonian Dynamics (MOND) is a framework of theories that adjust Newton's laws of gravity to explain effects such as galactic rotation anomalies, offering an alternative to dark matter. This essay examines the justification of MOND by assessing its inter-theoretical relationship to established theories across relevant scales, in particular its connection to Newtonian gravitation. We argue that MOND fails a key condition for a theory's justification--what we call `reduction-wise justification'--since it does not adequately reduce to Newtonian gravity in a fully non-arbitrary way. More precisely, despite satisfying the standard formal criteria for successful limiting reduction, MOND does not properly reduce to Newtonian gravitation because of (i) the absence of a fundamental theoretical framework to justify the interpolating function introduced in MOND and (ii) the lack of a unified mathematical structure working across all scales, independent of Newtonian theory. Hence, the case study of MOND provides crucial results for the general debate on inter-theoretic reduction in science: MOND’s failure as a case of reduction highlights important limitations in standard accounts of limiting reduction. We respond by proposing a more refined framework for limiting reduction that introduces two additional criteria to better distinguish successful from pathological reductions. More broadly, this case illustrates how analysing reduction-wise justification can serve as a powerful tool for evaluating the validity of novel theories that are not yet empirically established.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Antoniou, Antonisantantoniou@phs.uoa.gr0000-0001-8494-9915
Lorenzetti, Lorenzolorenzo.lorenzetti.ac@gmail.com0000-0003-1565-283X
Additional Information: Forthcoming in The British Journal for the Philosophy of Science. This is the accepted author manuscript (AAM). CC-BY license.
Keywords: Limiting reduction; Modified Newtonian Gravity; MOND; Modified gravity; dark matter; Theoretical reduction; Inter-theory reduction; Theoretical justification; cosmology
Subjects: Specific Sciences > Physics > Astrophysics
Specific Sciences > Physics > Classical Physics
General Issues > Confirmation/Induction
Specific Sciences > Physics > Cosmology
General Issues > Reductionism/Holism
General Issues > Theory Change
Depositing User: Lorenzo Lorenzetti
Date Deposited: 07 Nov 2025 13:13
Last Modified: 07 Nov 2025 13:13
Item ID: 27152
Subjects: Specific Sciences > Physics > Astrophysics
Specific Sciences > Physics > Classical Physics
General Issues > Confirmation/Induction
Specific Sciences > Physics > Cosmology
General Issues > Reductionism/Holism
General Issues > Theory Change
Date: November 2025
URI: https://philsci-archive.pitt.edu/id/eprint/27152

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