Contractions of the LCT Lie algebra for signature (1,4) yield the de Sitter algebra so(1,4) and the Poincaré algebra iso(1,3) in the respective limits of minimum length ℓ and maximum length L.
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Derivation of three linear and three quadratic Casimir operators for Sp(2,8) representations, with full eigenvalue spectra and eigenstates computed for fermionic-like, bosonic-like, and hybrid cases.
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Contractions of the relativistic quantum LCT group and the emergence of spacetime symmetries
Contractions of the LCT Lie algebra for signature (1,4) yield the de Sitter algebra so(1,4) and the Poincaré algebra iso(1,3) in the respective limits of minimum length ℓ and maximum length L.
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Casimir operators for the relativistic quantum phase space symmetry group
Derivation of three linear and three quadratic Casimir operators for Sp(2,8) representations, with full eigenvalue spectra and eigenstates computed for fermionic-like, bosonic-like, and hybrid cases.