1999/12/01 by M. I. Wanas, M. E. Kahil · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Differential geometry #Noncommutative and Quantum Gravity Theories #Path integral formulation #Quantization (signal processing) #Quantum #Quantum potential #Relativity and Gravitational Theory #Torsion (gastropod) #gr-qc
paper · pdf · doi:10.1023/a:1026743007086
published as Gen.Rel.Grav. 31 (1999) 1921 · Eight pages Latex file, published in GRG, vol.31, 1921, (1999)
openalex publication_date 1999/12/01 · arxiv created 1999/12/02 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Paths in an appropriate geometry are usually used as trajectories of test particles in geometric theories of gravity. It is shown that non-symmetric geometries possess some interesting quantum features. Without carrying out any quantization schemes, paths in such geometries are naturally quantized. Two different non-symmetric geometries are examined for these features. It is proved that, whatever the non-symmetric geometry is, we always get the same quantum features. It is shown that these features appear only in the pure torsion term (the anti-symmetric part of the affine connection) of the path equations. The vanishing of the torsion leads to the disappearance of these features, regardless of the symmetric part of the connection. It is suggested that, in order to be consistent with the results of experiments and observations, torsion term in path equations should be parametrized using an appropriate parameter.