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
Download:
IMEKO-WC-2000-TC7-P207.pdf
DOI:
-
Event details
Event name:
XVI IMEKO World Congress
Title:

Measurement - Supports Science - Improves Technology - Protects Environment ... and Provides Employment - Now and in the Future

Place:
Vienna, AUSTRIA
Time:
25 September 2000 - 28 September 2000