Abstract
In the spirit of the work of Ramanujan’s infinite Cesaro sum and the formalization of his work by G. Hardy, we propose that quantum physics and cosmology are governed by fractal logic rather than ordinary classical logic. Various general considerations as well as specific examples are given to illustrate and support our thesis leading to a revision of the standard model of elementary particles as well as relativity. These examples range from the practical aspect to almost esoteric considerations but at the end, everything converges towards a unity of theory and computation presented in the form of modern fractal logic and transfinite quantum field theory in a Cantorian spacetime. We conclude that the universe is akin to a transfinite Turing machine, or a Transfinite Infinite capacity of 'tHooft Automaton.
Highlights
Hardy in Cambridge, the present work proposes that nature follows the rules of computational fractal logic [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29]
This conclusion entails that mathematical computation aided by number theory [1,2,3,4,5,6,7,8,9,10,11,12,13,14], digital and analogue modern computers [14,15,16,17,18,19,20,21,22,23,24,25,26,27] are far more basic to quantum physics and cosmology than most theoretical physicists, including the present Author could usually have thought or imagined most of the time until relatively recently [22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39]
Deterministic chaos, a phrase coined by American mathematician and pioneer of nonlinear dynamics, chaos and fractal dynamics J
Summary
Computation gives us an insight into a theory but can lead to a theory hiding in fine structure details which we did not even suspect that it existed before seeing the inner wheel of the computation process at work and producing a result which looks at first sight to be total nonsense such as equations 30 and 31 of the present work [1-156]
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