The quantization of the space-time defects in the early Universe.

Details The quantization of the space-time defects in the early Universe. The quantization of the space-time defects in the early Universe.

Mar 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997achph..70..565d&link_type=abstract

Helvetica Physica Acta, Vol. 70, No. 4, p. 565 - 577

Mathematics

Logic

10

Early Universe: Space-Time

Scientific paper

In Riemann-Cartan manifold U4, a new topological invariant is obtained by means of the torsion tensor. In order to describe the space-time defects (which appear in the early Universe due to torsion) in an invariant form, the new topological invariant is introduced to measure the size of defects and it is interpreted as the dislocation flux in internal space. Using the so-called φ-mapping method and the gauge potential decomposition, the dislocation flux is quantized in units of the Planck length. The quantum numbers are determined by the Hopf indices and the Brouwer degrees. Furthermore, the dynamic form of the dislocations is also studied by defining an identically conserved current.

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