88 citations · 266 across the 44 of their papers we have counts for
45 papers
Local mathematics and scaling field: effects on local physics and on cosmology
Paul Benioff
The origin of this paper starts with the observation by Yang Mills that what state represents a proton in isospin space at one location does not determine what state represents a p…
Relation between observers and effects of number valuation in science
Paul Benioff
This paper is a small step towards the goal of constructing a coherent theory of physic and mathematics together. It is based on two ideas, the localization of mathematical systems…
The no information at a distance principle and local mathematics: some effects on physics and geometry
Paul Benioff
Local mathematics assumes the existence of number structures of different types, vector spaces, etc. localized at each space time point. Relations between number structures at diff…
Effect of number scaling on entangled states in quantum mechanics
Paul Benioff
A summary of number structure scaling is followed by a description of the effects of number scaling in nonrelativistic quantum mechanics. The description extends earlier work to in…
Effects of a scalar scaling field on quantum mechanics
Paul Benioff
This paper describes the effects of a complex scalar scaling field on quantum mechanics. The field origin is an extension of the gauge freedom for basis choice in gauge theories to…
Space and time dependent scaling of numbers in mathematical structures: Effects on physical and geometric quantities
Paul Benioff
The relationship between the foundations of mathematics and physics is a topic of of much interest. This paper continues this exploration by examination of the effect of space and…