The Gravitics Situation

Appendix 4

A Link Between Gravitation and Nuclear Energy

by Dr Stanley Deser

and

Dr Richard Arnowitt

Quantitatively we propose the following field equations :

with a similar equation for phi. In the above, psi represents the hyperon wave function, and phi the k particle quantized field operators. The first three terms in the first equation are the usual structures in the Einstein General Relativity. The last term, C mu nu is the "creation" tensor, which is to give us our conversion from gravity to nuclear energy. It is like T mu nu in being an energy momentum term. In the second equation delta j mu represents the covariant derivative while gamma ^ mu is a generalized Dirac matrix arranged so that the second equation is indeed covariant under the general group of coordinate transformations. The \sigma ^{\mu \upsilon }K_{\mu \nu } term will automatically include the higher hyperon levels. C mu nu is a functional of the hyperon and K field variables psi and phi while the gravitational metric tensor g_{\mu \nu } enters throught the covariant, derivative, etc: \lambda is a new universal constant giving the scale of the level spacings of the hyperons. Rigorously speaking the field equations should be of course, second quantized. For purposes of obtaining a workable first approximation it is probably adequate to take expectation values and solve the semi classical equations. The creation tensor C mu nu must be a bilinear integral of the psi and phi fields and may have cross terms as well of the form \int \Phi \overline{\Psi }\Psi (dx). These equations will indeed be difficult to solve, but upon solution will give the distribution of created energy and hence lead eventually to the more practical issues desired.

Next: Appendix 5 - Gravity/Heat Interaction