2024 - Sustainable Industrial Processing Summit
SIPS 2024 Volume 11. Rowlands Intl. Symp / Mathematics
| Editors: | F. Kongoli, A. Bountis, M. Johnson, S. Karam, L. Kauffman, P. Mandell, M. Mikalajunas, W. Miller, G. Ord, R.M. Santilli, E. Suhir, E. Trell, T. Vougiouklis |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2024 |
| Pages: | 372 pages |
| ISBN: | 978-1-998384-24-2 (CD) |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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ROWLANDS’ DUALITY PRINCIPLE DOES NOT UNIFY, BUT RATHER UNITES, QUANTUM MECHANICS & GENERAL RELATIVITY
Sabah Karam1; Mohamed Said Moulay2;1DUALITY SCIENCE ACADEMY, Baltimore, United States; 2UNIVERSITY OF SCIENCES AND TECHNOLOGY HOUARI BOUMEDIENE (USTHB), Bab Ezzouar, Algiers, Algeria;
Type of Paper: Regular
Id Paper: 262
Topic: 38
Abstract:
Peter Rowlands appears to be the only physicist who has written a book on foundational laws in physics [1]. He identifies four fundamental symmetries that are foundational to physics: space, time, mass and charge. A group relationship, a zero-totality condition and a nilpotent Dirac equation are the primary mathematical structures used to build the foundational laws. [2]. The duality between space-time and mass-charge is so exact that any reversal of role between discrete space and continuous time also produces a corresponding reversal of role between continuous mass and discrete charge [3]. One of us has argued that his ‘principle of duality’ is so ubiquitous in both mathematics and physics that it should be promoted into a ‘law’ based on the quantum mechanical law of entanglement [4]. Rowlands identifies three distinct mathematical processes: (A) conjugation, (B) complexification and (C) dimesionalization. Their corresponding physical manifestations are dualistic in nature: (a) conserved/nonconserved, conjugated/nonconjugated, + / –, (b) real/complex (the relativistic duality) and (c) the discrete/continuous, or the dimensional/nondimensional options. A classic case of the discrete/continuous representation is the well-known continuous wave/discrete particle duality. Rowlands’ principle of duality UNITES the theory of general relativity (GR), which is a theory about gravity not a theory of gravity, and quantum mechanics (QM). It does not UNIFY them [5].