Abstract
The present paper is basically written as a non-apologetic strong defence of the thesis that computation is part and parcel of a physical theory and by no means a mere numerical evaluation of the prediction of a theory which comes towards the end. Various general considerations as well as specific examples are given to illustrate and support our arguments. 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. It is true that all our examples are taken from physics but our discussion is applicable in equal measure to a much wider aspect of life.
Highlights
Mathematical computation aided by number theory [1]-[14], digital and analogue modern computers [14]-[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]-[39]
In turn and to close the circle, the core of E-infinity theory is a transfinite form of a Turing computer [14] [15]
We will see immediately that the essence of this transfinite Turing machine is a simple golden mean based number system, which is at the heart of nature itself [3] [4] [11] [12]
Summary
Mathematical computation aided by number theory [1]-[14], digital and analogue modern computers [14]-[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]-[39]. In the present work we take theoretical physics, exemplified by E-infinity fractal Cantorian theory [31]-[137] into the relatively new direction of science set in computational space to explore nature as a computation [3]-[5]. This is the essence of E-infinity theory [31]-[137]. 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 as we hope to show here [1]-[155]
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