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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

PAPER: 262/Mathematics/Regular (Oral) OS
SCHEDULED: 14:00/Mon. 21 Oct. 2024/Marika B2

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].

REFERENCES:
[1] Rowlands, P., Foundations of Physical Law, World Scientific, Singapore, 2014.
[2] Rowlands, P., Hevelius, 2, (2004) 168-82.
[3] Rowlands, P., Zero to Infinity: The Foundations of Physics, World Scientific, Singapore, 2007.
[4] Karam, S. E., J. Phys.: Conf. Ser. 2197 012017 (2022).
[5] Delphenich, D., arXiv:1811.06068 [physics.hist-ph] (2018).