A Unified Field Theory
31/10/99
by Peter Hickman

ABSTRACT

 In this paper, the extension of  Riemann geometry to include an asymmetric metric tensor is presented. A new co-variant derivative is derived, and used in the commutator of two co-variant derivatives of a vector. This leads to an equation which describe spin 1 bosons.  The energy-stress tensor arises as a contraction of the curvature tensor, its divergence enables the number  of dimensions of Space-Time to be determined. A weak field approximation gives potential equations for both massless and massive bosons, De-Broglies equation is derived and is modified by gravity, and the cosmological term is calculated and agrees with current observations.

The following parameters are calculated:


Cosmological Constant 1.1x10^-35 S^-2
Omega for Dark Energy 0.70
Dark energy particle energy 6.1x10^-52 J
Z Boson Energy 93.4 GeV
Top Quark energy  172.6 GeV
Bottom Quark 3.97 GeV

The cosmological term has been re-calculated to be a function of Hubbles constant, and it is related to the wave-length of the dark energy particles which in turn are a consequence of a gauge transformation of the Curvature Scalar G..

The number of generations is also determined  to be 3, although the masses of the fermions are still to be calculated, with the Top Quark as the starting point.

The calculation of the Z upper limit for the rest-energy is 93.4GeV without including coupling to a new interaction, which is mediated by a boson of 420.3GeV minimum mass energy, possibly a Dark Matter Boson.
 
 

    Last Update 7th September 2005