High Energy Physics and Cosmology as Computation

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.

Platonic Quantum Set Theory Proposal and Fractal-Cantorian Heterotic Kaluza- Klein Spacetime

“…All the same, as time has gone by and the author graduated from Hannover with a Dipl. Ing [7] and then got his Ph.D. from University College, London in Applied Mechanics [14] and finally as a young professor decided to change career altogether and moved to physics first in Cambridge, UK and then to many other universities world wide, it was time after time the early ideas on Plato's thesis that kept him captive and then via nonlinear dynamics, chaos, fractals and M. Feigenbaum's golden mean renormalization group [15][16][17] that gave him the feeling of a golden mean connection between Plato's philosophy, high energy physics and his relatively new discovery of the golden mean number system [18][19][20][21][22][23][24][25] which was then linked to the associated transfinite Turing golden mean computer as well as von Neumann's cellular automaton [26][27][28].…”

“…In the first part of the present work we give an outline of this platonic quantum set theory proposal starting rom the main postulates of E-infinity Cantorian spacetime theory. In the second part we apply by way of illustration, the new proposal to D. Gross et al's ingenious Heterotic superstring theory [44][45], [67] to first converting it to a transfinite Heterotic string [44][45] and subsequently to a Heterotic fractal Kaluza-Klein spacetime theory [12], [40] which we use to determine accurately and with a minimal amount of computation, the density of the ordinary and the dark components of the energy of the cosmos [19], [21], [40], [47].…”

“…Plato's Quantum Set Theory Proposal a) Review of previous concepts, the pre-quantum particle and the pre-quantum wave of E-infinity Cantorian spacetime theory Clearly the best way to present our new proposal is to start where we left off in our transfinite set theory founded quantum mechanics, i.e. E-infinity theory Cantorian spacetime [2], [12], [20][21]. This is obvious from the simple self evident fact mentioned in the introduction that the present proposal is sharpening and simplifying E-infinity theory in the light of our new and deep understanding of the wealth, width and breadth of Plato's ideas that lay dormant in our subconscious from our very own early student days more than half a century ago.…”

“…This is obvious from the simple self evident fact mentioned in the introduction that the present proposal is sharpening and simplifying E-infinity theory in the light of our new and deep understanding of the wealth, width and breadth of Plato's ideas that lay dormant in our subconscious from our very own early student days more than half a century ago. Let us summarize what we discovered and used extensively in the past and then we will reconnect and expand it in the light of our present new deeper understanding [20,21]. (a) A pre-quantum particle is modelled in E-infinity Cantorian-fractal spacetime theory by a zero set which has two dimensions, namely first a zero for being a point-like entity as a topological dimension and a second dimension which is a Hausdorff dimension for being not a simple point but really a pre-point belonging to a pre-geometry called Cantorian geometry or more accurately, it is a Mauldin-Williams one dimensional random Cantor set with as a Hausdorff dimension and a zero length, i.e.…”

“…(a) A pre-quantum particle is modelled in E-infinity Cantorian-fractal spacetime theory by a zero set which has two dimensions, namely first a zero for being a point-like entity as a topological dimension and a second dimension which is a Hausdorff dimension for being not a simple point but really a pre-point belonging to a pre-geometry called Cantorian geometry or more accurately, it is a Mauldin-Williams one dimensional random Cantor set with as a Hausdorff dimension and a zero length, i.e. it is a thin Cantor set of a measure zero [20][21]. Needless to say that at this level of description all pre-quantum particles are the same.…”