English

Past and future blurring at fundamental length scale

High Energy Physics - Theory 2010-12-15 v1

Abstract

We obtain the κ\kappa-deformed versions of the retarded and advanced Green functions and show that their causality properties are blurred in a time interval of the order of a length parameter q=1/(2κ)q=1/(2\kappa). The functions also indicate a smearing of the light cone. These results favor the interpretation of qq as a fundamental length scale below which the concept of a point in spacetime should be substituted by the concept of a fuzzy region of radius qq, as proposed long ago by Heisenberg.

Cite

@article{arxiv.1012.2393,
  title  = {Past and future blurring at fundamental length scale},
  author = {M. J. Neves and C. Farina and M. V. Cougo-Pinto},
  journal= {arXiv preprint arXiv:1012.2393},
  year   = {2010}
}

Comments

Essentially, this is the version published in the Phys. Rev. Lett. 105, 211601 (2010). It has 4 pages and contains 2 figures

R2 v1 2026-06-21T16:56:53.387Z