Finetuned Cancellations and Improbable Theories

Foundations of Physics 49 (5):428-443 (2019)
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Abstract

It is argued that the \ cancellation model is a good proxy for discussions of finetuned cancellations in physical theories. XYCM is then analyzed from a statistical perspective, where it is argued that a finetuned point in the parameter space is not abnormal, with any such point being just as probable as any other point. However, landing inside a standardly defined finetuned region has a much lower probability than landing outside the region, and that probability is invariant under assumed ranges of parameters. This proposition requires asserting also that the finetuned target region is a priori established. Therefore, it is surmised that a highly finetuned theory is generally expected to be highly improbable. An actionable implication of this moderate naturalness position is that the search for a non-finetuned explanation to supplant an apparently finetuned theory is likely to be a valid pursuit, but not guaranteed to be. A statistical characterization of this moderate position is presented, as well as those of the extreme pro-naturalness and anti-naturalness positions.

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James Wells
University of Michigan, Ann Arbor

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Copernicus, Epicurus, Galileo, and Gassendi.Antonia LoLordo - 2015 - Studies in History and Philosophy of Science Part A 51 (C):82-88.

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