Representations of Each Number Type that Differ by Scale Factors

Abstract

For each type of number, structures that differ by arbitrary scaling factors and are isomorphic to one another are described. The scaling of number values in one structure, relative to the values in another structure, must be compensated for by scaling of the basic operations and relations (if any) in the structure. The scaling must be such that one structure satisfies the relevant number type axioms if and only if the other structure does.

23 pages, 1 figure

References in corpus (1)

• New Gauge Field from Extension of Space Time Parallel Transport of Vector Spaces to the Underlying Number Systems

Cited by in corpus (2)

• Fiber bundle description of number scaling in gauge theory and geometry
• Effects of mathematical locality and number scaling on coordinate chart use