Snyder noncommutative space-time from two-time physics

Aug, 2004
11 pages
Published in:
  • Phys.Rev.D 70 (2004) 105006
e-Print:

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Abstract:
We show that the two-time physics model leads to a mechanical system with Dirac brackets consistent with the Snyder noncommutative space. An Euclidean version of this space is also obtained and it is shown that both spaces have a dual system describing a particle in a curved space-time.
  • 02.40.Gh
  • 45.20.\x{2013}d
  • 11.10.Nx
  • mechanics: classical
  • invariance: conformal
  • gauge field theory: Sp(2)
  • Hamiltonian formalism
  • sigma model: nonlinear
  • symmetry: O(N)
  • differential geometry: noncommutative