Trials of analysing a spherical light wave, which supposedly distorts as it interacts with a gravitational field is attempted with the assumption of a flat 4 dimensional space-time. Photons are produced as a result of annihilation of electron-positron pairs and are described by Bose-Einstein statistics. Huygens' wave theory principles are combined with the Newtonian corpuscular model of light as a stream of particles whose masses are subject to the laws of gravity. Efforts have been made to base the calculations on quantum statistical mechanics with a quantum mechanical expectation value for the Newtonian potential energy. A grand partition function has been used to describe the physical characteristics of the two resulting solutions:
- closed form wave fronts similar to the Kepler orbits of Newtonian gravitational theory
- open form "virtual" wave fronts similar to Coulomb repulsion in electromagnetic theory, e.g., Rutherford scattering of atomic nuclei.
A major focus of theoretical physics in the inter war years 1918 - 1939 was in establishing a bridge to unify the electromagnetic theories of Maxwell and Faraday with Einstein's theory of gravitation. An early attempt at this synthesis was the 5 dimensional geometry of Kaluza-Klein. Since then many theories of increasing complexity have been proposed, without much observational or experimental backing.
to be continued......