English

Representations of Each Number Type that Differ by Scale Factors

Rings and Algebras 2013-12-06 v1 Quantum Physics

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.

Keywords

Cite

@article{arxiv.1102.3658,
  title  = {Representations of Each Number Type that Differ by Scale Factors},
  author = {Paul Benioff},
  journal= {arXiv preprint arXiv:1102.3658},
  year   = {2013}
}

Comments

23 pages, 1 figure

R2 v1 2026-06-21T17:28:03.123Z