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

Author:

Krechmer KenORCID

Abstract

In classic measurement theory each physical measurement result has a precision which becomes infinitesimal as noise and distortion approach zero, i. e., exact repetitive measurement results (± a Planck) are theoretically possible. This classic measurement theory is not well correlated with experimental measurement results. When noise and distortion are minimized, repetitive experimental measurement results display a Gaussian distribution. This paper addresses experimental measurements by first developing a formal measurement function and related definitions, which identify that a classic measurement result is not possible in theory as well as in experiments. This new measurement function is then correlated with quantum measurement theory. This correlation explains existing quantum measurement perplexities.

Publisher

Qeios Ltd

Reference30 articles.

1. 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.”

2. D. H. Krantz, et al, Foundations of Measurement, Academic Press, NYC, NY, 1971, Vol. 1, page 3, 1.1.2, Counting of Units. This three volume work is considered the basis of representational measurement theory.

3. K. Krechmer, Relative measurement theory (RMT), Measurement, 116 (2018), pp. 77-82.

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

5. K. Krechmer, Relative measurement theory (RMT), The verification is in the Appendix of RMT.

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