Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

On the nature of the new group LB1

Alcides Garat

Abstract

The new local group LB1 introduced previously will be studied and reviewed in detail, depicting its unique nature that makes it a new group in fundamental physics. It will be made clear that even though most of its elements are Lorentz transformations, one unique discrete transformation not present in the Lorentz groups, is making this group into a new group because it is a reflection. In addition there will be four particular transformations onto the local light cone. It is these discrete transformations that allow for an isomorphism between the group U(1) and LB1. This result will have profound resonations in all of particle physics, general relativity, relativistic astrophysics, Riemannian geometry and group theory. These new group will be associated to a whole set of new experiments put forward.

On the nature of the new group LB1

Abstract

The new local group LB1 introduced previously will be studied and reviewed in detail, depicting its unique nature that makes it a new group in fundamental physics. It will be made clear that even though most of its elements are Lorentz transformations, one unique discrete transformation not present in the Lorentz groups, is making this group into a new group because it is a reflection. In addition there will be four particular transformations onto the local light cone. It is these discrete transformations that allow for an isomorphism between the group U(1) and LB1. This result will have profound resonations in all of particle physics, general relativity, relativistic astrophysics, Riemannian geometry and group theory. These new group will be associated to a whole set of new experiments put forward.

Paper Structure

This paper contains 21 sections, 2 theorems, 92 equations.

Table of Contents

  1. Introduction
  2. Local gauge transformations on blade one
  3. The new tetrads determine the gravitational and the electromagnetic fields
  4. Timelike and spacelike vectors transform into null vectors via electromagnetic gauge transformations
  5. Gauge differential equation: Coulomb case
  6. Gauge differential equation: Reissner-Nordström case
  7. General differential equation
  8. New physical prediction in geometrodynamics
  9. Aharonov-Bohm setup for the full inversion experiment
  10. Conclusions
  11. Appendix I
  12. Appendix II: The group law: The composition of two boosts
  13. Example
  14. Direct test of the group law
  15. Reverse test of the group law
  16. ...and 6 more sections

Key Result

Theorem 1

The mapping between the local group of electromagnetic gauge transformations and the local group LB1 defined above is isomorphic.

Theorems & Definitions (2)

  • Theorem 1
  • Theorem 2