Relativity and Cosmology

   

Making Sense of the Cosmos by a Fractal Geometry Experiment

Authors: Blair D. Macdonald

‘Fractals are everywhere’; but for the large-scale galaxy distribution in the observable universe, by the 2012 WiggleZ Dark Energy Survey, they were ruled out. They were, however, granted on small cosmic scales, as claimed by proponents, and notwithstanding the ensuing enigma of explaining the standard model of cosmology ‘very large’ cosmic structures (LQGs) have indeed – as predicted – have been observed in the large-scale universe since the WiggleZ survey. Can a (different) fractal model explain all these cosmological observations and conjectures, and if so, are we are modelling the fractal the universe incorrectly? An experiment was conducted on a ‘simple’ (Koch snowflake) fractal from the perspective of an observer within a growing/emergent fractal – ‘looking’ in iteration-time. The fractal was inverted – to show what the fractal looks like back to its origin; new triangle sizes were held constant allowing earlier triangles in the set to expand as the set iterated. Classical kinematic equations of velocities and accelerations were calculated for total area total and the distance between points. Hubble-Lemaitre's Law and other cosmological observations and conjectures were tested for. Results showed area(s) expanded exponentially from an arbitrary starting position; and as a consequence, the distances between points – from any location within the set – receded away from the ‘observer’ at increasing velocities and accelerations. It was concluded that the fractal is a geometrical match to the cosmological problems. It explains Hubble-Lemaitre and accelerated expansion; inhomogeneous (and said fractal) galaxy distribution on small scale and large scales; and other problems – including the cosmological catastrophe and the early inflationary expansion epoch of the universe. Also, the fractal offers a direct mechanism to the cosmological problem and can further explain the quantum problem – unifying the two realities as being two aspects of the same geometry.

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[v1] 2019-12-12 07:41:46

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