Abstract

As defined and used in General Relativity calculations, spacetime is a strictly classical construct which does not incorporate in any way, shape or form the concept of quantum. While reviewing the efforts that Alexandria theoretician M. S. El Naschie has made to resolve the dichotomy, we discovered that his E infinity theory contains a Cantor set which has characteristics specified by Isaac Newton for Absolute space. We show that this unexpected connection leads to an understanding of the mysterious origin of the one and only attribute that all particles listed in the Standard Model of Elementary Particles possess—including notably the photon—and which has remained unexplained hitherto: spin. This most rewarding result reinforces our belief in the relevance of the E infinity basic concepts in relation to our own Xonic Quantum Physics (XQP) which places dynamical action rather spacetime and energy at the core of the System of the World.

Highlights

  • In 1955, renowned General Relativity (GR) expert Archibald John Wheeler, at the top of his talents, had a brilliant idea

  • El Naschie has made to resolve the dichotomy. Following in his footsteps; we review our own invention of the System of the World we call Xonic Quantum Physics (XQP)

  • We showed in [3] how this appellation came into being as the result of an erroneous evaluation of the true nature of the invention made by French genius mathematician Henri Poincaré in 1905 when he constructed the mathematical device he called, and we still call today, the Lorentz transformation, which forms the core of the theory of Relativity

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Summary

Introduction

In 1955, renowned General Relativity (GR) expert Archibald John Wheeler, at the top of his talents, had a brilliant idea Perhaps, he said, at the subatomic level GR spacetime has the consistency of “a foam”—a quantum foam—forming the foundation of the fabric of the universe [1]. El Naschie has attempted to resolve the GR-QP dichotomy on the basis of a body of original proposals he calls E infinity Resuscitating in his own words John Wheeler’s idea of the quantum foam, he explained: “On extremely small scales, at very high observational resolution equivalent to a very high energy, spacetime resembles a stormy ocean”, adding: “The crucial step in E infinity formulation [is] to identify the stormy ocean with vacuum fluctuation and in turn to model this fluctuation using the mathematical tools of non-linear dynamics, complexity theory and chaos [2]”. If the System of the World constructed corresponds to Reality, some probing questions which currently perturb our understanding of what Quantum Physics is all about become answerable

Following a Sinuous Path
Setting up the Stage
With a 4-Dimensional Spacetime
Without a Dimensional Spacetime
The Xonic System of the World
Xonic Little Bangs Generate Space Lengths and Time Lapse Durations
The Hidden Geometric Structure of the e-Points Set
On Newton’s Prudent Use of the Word Mathematica in His Principia
10.1. Definition V Its title reads
10.2. Newtonian Centers Are Mathematical Points
11. Discovering an Unsuspected Structure in El Naschie’s E infinity
12.1. Inventing the Photon
12.2. Indeed
14. Conclusions
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