2002/08/27 by Jorge Alfaro, J. Alfaro, H. A. Morales-Tecotl +3 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Dynamics (music) #Geology #Noncommutative and Quantum Gravity Theories #Particle (ecology) #Physics #Quantum #Quantum dynamics #Quantum gravity #Quantum mechanics #Spin (aerodynamics) #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.66.124006
published as Phys.Rev. D66 (2002) 124006 · 48 pages, latex
arxiv created 2002/08/27 · openalex publication_date 2002/12/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Quantum gravity phenomenology opens up the possibility of probing Planck scale physics. Thus, by exploiting the generic properties that a semiclassical state of the compound system fermions plus gravity should have, an effective dynamics of spin-1/2 particles is obtained within the framework of loop quantum gravity. Namely, at length scales much larger than Planck length lP\ensuremath∼10^\ensuremath-33cm and below the wavelength of the fermion, the spin-1/2 dynamics in flat spacetime includes Planck scale corrections. In particular we obtain modified dispersion relations in vacuo for fermions. These corrections yield a time of arrival delay of the spin-1/2 particles with respect to a light signal and, in the case of neutrinos, a novel flavor oscillation. To detect these effects the corresponding particles must be highly energetic and should travel long distances. Hence neutrino bursts accompanying gamma ray bursts or ultrahigh energy cosmic rays could be considered. Remarkably, future neutrino telescopes may be capable of testing such effects. This paper provides a detailed account of the calculations and elaborates on results previously reported in a Letter. These are further amended by introducing a real parameter \ensuremathΥ aimed at encoding our lack of knowledge of scaling properties of the gravitational degrees of freedom.