The correlation of classic and experimental measurement results with quantum measurement theory

Author:

Krechmer KenORCID

Abstract

In classic measurement theory each measurement result has a precision which becomes infinitesimal as noise and distortion approach zero. I. e., exact repetitive measurement results are theoretically possible. This classic measurement theory is not well correlated with experimental measurement results. Because, when noise and distortion are minimized, repetitive experimental measurement results display a Gaussian distribution. This paper first correlates classic and experimental measurements by developing a new measurement function and related definitions. Then this new measurement function is shown to correlate with quantum measurement theory and resolve existing quantum measurement perplexities.

Publisher

Qeios Ltd

Reference29 articles.

1. BIPM is an intergovernmental organization which acts on matters related to measurement science and measurement standards and is responsible for the SI base units, https://www.bipm.org/en/measurement-units/si-base-units, 03 December 2022.

2. International Vocabulary of Metrology (VIM), third ed., BIPM JCGM 200:2012, quantity 1.1. 03 December 2022.

3. L. Euler, Elements of Algebra, Chapter I, Article I, #3. Third ed., Longman, Hurst, Rees, Orme and Co., London England, 1822. “Now, we cannot measure or determine any quantity, except by considering some other quantity of the same kind as known, and pointing out their mutual relation.”

4. R. Dybkaer, Ontology of property, Chapter 5, 2009, https://ontology.iupac.org/ontology.pdf. Applying this substantial reference, property as used in this (Krechmer) paper is differential. However, Dybkaer does not recognize that a physical property is also relative (i.e., requires calibration).

5. J. de Boer, On the History of Quantity Calculus and the International System, Metrologia, Vol 31, page 405, 1995.

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