Reasonable model of the universe
Degree GrantorUniversity of Canterbury
Degree NameResearch report
An insistence upon realism and simplicity is used along with Einstein's theory of gravitation to show that already ascertained facts on the large scale structure of the universe lead inexorably to a particular cosmological model. This is homogeneous and isotropic with negative curvature. The model demonstrates that the universe is infinite and currently expanding from a big bang in the past, the variation in cosmic scale with time being almost sinusoidal, so that eventually the universe will recondense and give rise to an ensuing big bang. The properties of the model may be elicited both in terms of the elementary functions and as expansions in a parameter α ≈ 0•0075 which characterizes its matter and radiation densities. According to the model, the epoch of equal densities occurred after 6•6 x 10⁶ years, the present age of the universe is 1•0 x 10¹⁰ years, and the duration of its current cycle will be 4 • 0 x 10¹⁰ years. The luminosity distance for the model is exhibited in an instructive form.
SubjectsField of Research::01 - Mathematical Sciences::0105 - Mathematical Physics
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