TOPOLOGICAL PROPERTIES OF ELECTROMAGNETIC MEASUREMENT

M. Urbanski, J. Samsonowicz

Abstract

Values of physical quantities are real numbers. These values do not contain information on the physical nature of measured quantity, this information is given by the physical unit. But the physical unit is only a name while the information on the nature of measured quantity is given by physical laws and design of measurement devices (sensors). We propose a topological theory of measurement, which mathematically describes both values of physical quantities and their nature. The model of measurement is fibre bundle space with base space corresponding to topological properties of measured quantity and fibres corresponding to values. This model combined with the field theory gives us a new concept of spherical ammeter and additionally a new field of structure generalising of Maxwell electromagnetic field.

Keywords

theory of measurement, measurement theory, topological theory of measurement, spherical ammeter

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IMEKO-WC-2000-TC7-P207.pdf

DOI

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IMEKO TC

TC7 - Measurement Science

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