Some of the early development of the ideas can be traced through the various versions of the paper: “A Fully Relative Theory of Gravitation” which can be downloaded as a pdf file from the Deakin Research On-line web-site at: http://dro.deakin.edu.au/view/DU:30054938
However, updating of the paper ceased on December 7th 2016.
The Abstract at that time is given below but it was subsequently realised that the concept of gravity as a distortion of the fabric of space-time was fundamentally flawed. The concept of space-time goes back to Einstein’s 1905 paper on Special Relativity, as first set out by Minkowski. This necessitated a thorough review of Special Relativity and a re-framing of gravity as arising from a change in the properties of objects rather than of the space-time between them. The revised work has now been consolidated into a book “Making Sense of Gravity”.
Abstract
A fully relative theory of gravitation is proposed which revises Einstein’s formulation of gravity as a distortion of space-time by matter. A theory of gravity in which there is a scalar interaction with photons is required because light does not gain or lose energy in a gravitational field. The apparent bending of light is due to the distortion of space-time by matter but light, having no mass, does not interact (change energy) with the gravitational field. The distortion is an expansion in the size of massive objects because they gain energy in moving to a region of lower stored energy density. Matter cannot store as much energy when closer to like matter and the released energy appears as the kinetic energy of gravitational acceleration. The amount of stored energy (mass of particles) reduces as the fractional asymmetry in energy density of matter to antimatter increases, and the clock-rate increases. The speed of light and time interval also increases with total stored energy density. High densities of matter do not collapse into singularities because mass reduces with increased density and so such concentrations of matter reach a stable limit. They cannot trap light behind an event horizon because the massless photon (after emission) does not lose energy in escaping a gravitational field. However, the frequency of photons is shifted (reduces as the asymmetry reduces). The dependence of mass on the density of surrounding matter means that gravitational interactions are not gauge invariant. This breaking of gauge invariance arises because we live in a region of excess matter and such a local asymmetry will grow because regions of excess matter (or anti-matter) expand as the temperature drops and more kinetic energy is stored as mass. This is consistent with the Higgs field being a scalar field arising from the breaking of gauge invariance, and with the Higgs boson being the fourth boson of SU(2) x U(1) along with the W±, Z0 and γ (the W+ and W–, being particle and antiparticle, only count as one boson). The photon is then also the missing ninth gluon. The revised theory is consistent with quantum mechanics and reproduces the standard predictions of (tensor) general relativity theory for the present local energy density. Singularities are avoided and black holes, as currently conceived, cannot exist. However, the predicted differences, when the universe was denser, remove the need to postulate dark energy and cosmological inflation. The flat rotation curves of galaxies are explained without dark matter, provided there are a similar number of anti-matter galaxies, which is possible because the revised theory prevents an annihilation signal. A key test is whether the revised theory can fit the observed gravitational lensing of galaxy clusters without dark matter. However, the slope of supernovae distance data is in agreement with the value of the gravitational constant and a change in clock-rate with the expansion of the Universe fully accounts for the Pioneer anomaly. Other confirmations would be to show that the new understanding of elementary particles overcomes the hierarchy problem, provides an explanation of why there are three flavour families and three neutrinos which oscillate but are massless, and the predictions of masses and coupling constants are viable and consistent with observations.