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Open AccessArticle

The Quantum Nature of Lorentz Invariance

Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne-Université, 4 Place Jussieu, 75005 Paris, France
Universe 2019, 5(1), 1; https://doi.org/10.3390/universe5010001
Received: 21 November 2018 / Revised: 15 December 2018 / Accepted: 17 December 2018 / Published: 20 December 2018
If the reality underlying classical physics is quantum in nature, then it is reasonable to assume that the transformations of fields, currents, energy, and momentum observed macroscopically are the result of averaging of symmetry groups acting in the Hilbert space of quantum states of elementary constituents of which classical material bodies are formed. We show how Pauli’s exclusion principle based on the discrete Z 2 symmetry group generates the S L ( 2 , C ) symmetry of the space of states of an electron endowed with spin. Then, we generalize this reasoning in the case of quark colors and the corresponding Z 3 symmetry. A ternary generalization of Dirac’s equation is proposed, leading to self-confined quarks states. It is shown how certain cubic or quadratic combinations can form freely-propagating entangled states. The entire symmetry of the standard model, S U ( 2 ) × U ( 1 ) × S U ( 3 ) , is naturally derived, as well. View Full-Text
Keywords: quark model; Z3-graded algebras; color dynamics; Dirac’s equation; Loretnz invariance quark model; Z3-graded algebras; color dynamics; Dirac’s equation; Loretnz invariance
MDPI and ACS Style

Kerner, R. The Quantum Nature of Lorentz Invariance. Universe 2019, 5, 1.

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