• Corpus ID: 59932381

Uncertainty principle for momentum, torsional regularization, and bare charge

  title={Uncertainty principle for momentum, torsional regularization, and bare charge},
  author={Nikodem J. Popławski},
We show that in the presence of the torsion tensor Sij , whose existence is required by the consistency of the conservation law for the total angular momentum of a Dirac particle in curved spacetime with relativistic quantum mechanics, the quantum commutation relation for the fourmomentum is given by [pi, pj ] = 2i~S k ijpk. We propose that this relation replaces the integration in the momentum space in Feynman diagrams with the summation over the discrete momentum eigenvalues. We derive a… 
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