Extending space-time with property
PD Stack · UTAS Research Repository · 2014
Space-time does an excellent job of describing a \when\" and \"where\" of an event; however it fails to describe \"what\" was involved. Normally this is achieved by including quantum fields with their own labels and associated properties. Conservation of these properties is then achieved according to what experiment dictates. We propose to add additional coordinates to space-time that describe the \"what\" which is missing. We choose these coordinates to be complex anti-commuting Lorentz scalars and attach various quantum numbers to them as indicated by experimental observation. With 5 such coordinates we can accommodate all known particles in the Standard Model and can reduce the number of fundamental parameters involved. We also develop formalism to deal with the inclusion of these coordinates into general relativity and look at the cases of 1 and 2 property coordinates. This results in the Einstein-Maxwell equations for 1 coordinate and the Einstein-Yang Mills equations for 2 coordinates. The Mathematica code used in this thesis which was essential for the algebraic simplification required is available from the UTAS digital repository. The documentation for the code is given in Appendix B."