Generalized relativistic transformations in Clifford spaces and their physical implications

DOI10.1142/s0219887824501354zbMATH Open1546.83152MaRDI QIDQ6564987

Carlos Castro

Publication date: 1 July 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

M-theoryClifford algebrasstring theorygeneralized geometriesextended relativity theory in Clifford spaces

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Applications of differential geometry to physics (53Z05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Cites Work

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• The extended relativity theory in Clifford phase spaces and modifications of gravity at the Planck/Hubble scales
• String Theory and M-Theory
• Representations of the canonical group, (the semidirect product of the unitary and Weyl$ndash$Heisenberg groups), acting as a dynamical group on noncommutative extended phase space
• Exponentials of general multivector in 3D Clifford algebras
• Elementary Particles and the Principle of Reciprocity
• The landscape of theoretical physics: a global view. From point particles to the brane world and beyond, in search of a unifying principle
• On factorization of multivectors in Cl(2,1)$$ Cl\left(2,1\right) $$, by exponentials and idempotents

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