New gauge fields from extension of parallel transport of vector spaces to underlying scalar fields

  title={New gauge fields from extension of parallel transport of vector spaces to underlying scalar fields},
  author={Paul Benioff},
  booktitle={Defense + Commercial Sensing},
  • P. Benioff
  • Published in Defense + Commercial Sensing 1 May 2011
  • Physics
Gauge theories can be described by assigning a vector space ¯V (x) to each space time point x. A common set of complex numbers, ¯ C, is usually assumed to be the set of scalars for all the ¯ Vx. This is expanded here to assign a separate set of scalars, ¯ Cx, to ¯ Vx. The freedom of choice of bases, expressed by the action of a gauge group operator on the ¯Vx, is expanded here to include the freedom of choice of scale factors, cy, x, as elements of GL(1, C) that relate ¯ Cy to ¯ Cx. A gauge… 

Effects on quantum physics of the local availability of mathematics and space time dependent scaling factors for number systems

The work is based on two premises: local availability of mathematics to an observer at any space time location, and the observation that number systems, as structures satisfying axioms for the number



Gauge Theory of elementary particle physics

This is a practical introduction to the principal ideas in gauge theory and their applications to elementary particle physics. It explains technique and methodology with simple exposition backed up

Towards a Coherent Theory of Physics and Mathematics: The Theory–Experiment Connection

The problem of how mathematics and physics are related at a foundational level is of interest. The approach taken here is to work towards a coherent theory of physics and mathematics together by

Towards a Coherent Theory of Physics and Mathematics

As an approach to a Theory of Everything a framework for developing a coherent theory of mathematics and physics together is described. The main characteristic of such a theory is discussed: the

Fundamentals of Model Theory

This book provides an introduction to Model Theory which can be used as a text for a reading course or a summer project at the senior undergraduate or graduate level and is also a primer which will give someone a self contained overview of the subject, before diving into one of the more encyclopedic standard graduate texts.

Particles and Fields

The concept of atoms has contributed greatly to the development of physics. Each element has its own atom. Atoms can bind together to form molecules or molecules can dissociate into atoms in chemical

Principles of mathematical analysis

Chapter 1: The Real and Complex Number Systems Introduction Ordered Sets Fields The Real Field The Extended Real Number System The Complex Field Euclidean Spaces Appendix Exercises Chapter 2: Basic


  • Rev. 96, 191
  • 1954

Fortshritte der Physik

  • 29, 135
  • 1981