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This book is based on five peer reviewed journal papers which I published during the period 2017-18; J Moffat, T Oniga et al (2017) 'Unitary Representations of the Translational Group Acting as Local Diffeomorphisms of Space-Time' J Phys Math 8:2, DOI: 10.4172/2090-0902.1000233 J Moffat, T Oniga et al (2017) 'A New Approach to the Quantisation of Paths in Space-Time' J Phys Math, 8:2, DOI: 10.4172/2090-0902.1000232. (2017). J Moffat, T Oniga et al (2017) 'Ergodic Theory and the Structure of Non-Commutative Space-Time.' J Phys Math 8.2, . DOI:10.4172/2090-0902.1000229. J Moffat, T Oniga et al, (2017) Factorial Unitary Representations of the Translational Group, Invariant Pure States and the Supersymmetric Graviton. J Phys Math 8: 257, DOI: 0.4172/2090-0902.1000257. J Moffat C Wang (2018) Factorial Representations of Compact Lie Groups, Wigner Sets and Locally Invariant Quantum Fields. J Phys Math 9, 1, DOI: 10.4172/2090-0902.1000259 On reviewing and rereading these, it occurred to me that together they make an interesting mathematical story about the evolution of the universe. This book is the result. I hope you enjoy reading it as much as I enjoyed writing it. I dedicate it to Paul Dirac, who was my inspiration.

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