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Calibrating The Theory of Model Mediated Measurement: Metrological Extension, Dimensional Analysis, and High Pressure Physics

Jalloh, Mahmoud (2024) Calibrating The Theory of Model Mediated Measurement: Metrological Extension, Dimensional Analysis, and High Pressure Physics. [Preprint]

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Abstract

I argue that dimensional analysis provides an answer to a skeptical challenge to the theory of model mediated measurement. The problem arises when considering the task of calibrating a novel measurement procedure, with greater range, to the results of a prior measurement procedure. The skeptical worry is that the agreement of the novel and prior measurement procedures in their shared range may only be apparent due to the emergence of systematic error in the exclusive range of the novel measurement procedure. Alternatively: what if the two measurement procedures are not in fact measuring the same quantity? The theory of model mediated measurement can only say that we _assume_ that there is a common quantity. In contrast, I show that the satisfaction of dimensional homogeneity across the metrological extension is independent evidence for the so-called assumption. This is illustrated by the use of dimensional analysis in high pressure experiments. This results in an extension of the theory of model mediated measurement, in which a common quantity in metrological extension is no longer assumed, but hypothesized.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Jalloh, Mahmoudmahmoudtimbojalloh@gmail.com0000-0001-8511-9294
Keywords: dimensions, measurement, coherentism, calibration, epistemic grounding, systematic error
Subjects: Specific Sciences > Physics > Condensed Matter
General Issues > Experimentation
General Issues > History of Science Case Studies
General Issues > Models and Idealization
Depositing User: Mahmoud Jalloh
Date Deposited: 10 Jul 2024 17:56
Last Modified: 10 Jul 2024 17:56
Item ID: 23679
Subjects: Specific Sciences > Physics > Condensed Matter
General Issues > Experimentation
General Issues > History of Science Case Studies
General Issues > Models and Idealization
Date: July 2024
URI: https://philsci-archive.pitt.edu/id/eprint/23679

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