This framework reveals how superposition transforms into a normal distribution within metrology measurements, suggesting a new relationship with unit standards.
Superposition is a quantum mechanical concept currently without a recognized equivalent in metrology measurements. Relative Measurement Theory (RMT) developed the significance of unit standards to metrology measurements. This paper introduces a limit into Cantor's Transfinite Set Theory (CTST) and develops how it relates to a unit standard. Recognizing CTST also describes a superposition, this paper develops how a transfinite superposition transforms into a normal distribution of metrology measurement results, when measurement results include calibration to a unit standard. Then a superposition has an equivalent set of metrology measurements.
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Ken Krechmer (2025) studied this question.
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