Quantum Theory and Relativity

Abstract

In a paper published in 1976 (see ref. [1]) Carlton Frederick explored, in a descriptive manner, the hypothesis that: "Much of, Quantum Mechanics may be derived if one adopts a very strong form of Mach's principle such that in the absence of mass, space-time becomes not flat but stochastic." Utilizing the formalism developed by Kuchař (see refs [2]-[5]) to treat the Hamiltonian theory of fields in space-time (called Hypersurface Dynamics) this thesis concerns itself with developing a mathematical description of space-time for which the metric is a stochastic variable; so that Frederick's hypothesis can be explored in a more rigorous manner.