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Fermi substructure of space-time

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If space-time possesses a Fermi substructure, then the canonical quantization of the space-time and the Fermi coordinates of a relativistic point particle must be mutually consistent. We show that the Fermi substructure\(x^\mu = \tfrac{1}{4}\sigma _{AB}^\mu \{ c^A , c^{*B} \} \) meets this requirement. We express the generators of the Lorentz group in terms of the Fermi coordinates and momenta and consider their coordinate representation.

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Borchsenius, K. Fermi substructure of space-time. Int J Theor Phys 34, 1863–1870 (1995). https://doi.org/10.1007/BF00674067

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  • Quantum Mechanic
  • Clifford Algebra
  • Lorentz Group
  • Fermi System
  • Fermi Momentum