Author Retains CopyrightTownsend, G M2008-07-292022-10-112008-07-292022-10-1119831983https://ir.wgtn.ac.nz/handle/123456789/21725In 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.pdfen-NZhttps://www.wgtn.ac.nz/library/about-us/policies-and-strategies/copyright-for-the-researcharchiveQuantum theoryRelativity (physics)TextAll rights, except those explicitly waived, are held by the Author