Self-creation Cosmology - The New (2002) Theory

The New (2002) Theory

An alternative to the principle of the conservation of energy-momentum is required, in order to constrain mass creation.

In the new SCC theory it is postulated that mass is created out of gravitational and scalar fields in accordance with the Principle of Mutual Interaction (PMI).

The PMI states that:

"The scalar field is a source for the matter-energy field if and only if the matter-energy field is a source for the scalar field."

As the source for the scalar field is the trace of the stress-energy tensor, the PMI is delivered by coupling this trace to the divergence of the stress-energy tensor. As a consequence relativistic energy such as light, which is trace free, still obeys the Equivalence Principle.

$\nabla _\mu T_{M\;\nu }^{.\;\mu } =4\pi f_\nu \left( \phi \right) T_{M\;}^{\;}=f_\nu \left( \phi \right) \Box \phi$ .

As a consequence photons still do traverse null-geodesics, at least in vacuo,

$\nabla _\mu T_{em\ \nu }^{\mu }=4\pi f_\nu \left( \phi \right) T_{em}=4\pi f_\nu \left( \phi \right) \left( 3p_{em}-\rho _{em}\right)= 0$ .

A detailed calculation yields:

In the new theory energy is locally conserved when measured in a particular, preferred, frame of reference that is selected by Mach’s principle, which is the Centre of Mass (CoM) of the system. The Jordan conformal frame of the theory is defined to be that in which rest mass includes gravitational potential energy. Such energy is defined and measured in that CoM frame of reference.

This local conservation of energy requires the energy expended in lifting an object against a gravitational field to be translated into an increase in its rest mass. If is the dimensionless Newtonian gravitational potential, defined by a measurement of acceleration in a local experiment in a frame of reference co-moving with the Centre of Mass frame (CoM), so

and normalized so that

then the local conservation of energy requires

where as $r\rightarrow \infty$ .

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