P. Benioff, “Effects on Quantum Physics of the Local Availability of Mathematics and Space Time Dependent Scaling Factors for Number Systems,” In: I. Ion Cotaescu, Ed., Advances in Quantum Theory, InTech, 2012. http://www.intechopen.com/ doi:10.5772/36485

has been cited by the following article:

• TITLE: Representations of Each Number Type That Differ by Scale Factors

  AUTHORS: Paul Benioff

  KEYWORDS: Number Types; Structures

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.4, July 1, 2013

  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.