It appears you don't have support to open PDFs in this web browser. To view this file, Open with your PDF reader
Abstract
We investigate the effective Dirac equation, corrected by merging two scenarios that are expected to emerge towards the quantum gravity scale. Namely, the existence of a minimal length, implemented by the generalized uncertainty principle, and exotic spinors, associated with any non-trivial topology equipping the spacetime manifold. We show that the free fermionic dynamical equations, within the context of a minimal length, just allow for trivial solutions, a feature that is not shared by dynamical equations for exotic spinors. In fact, in this coalescing setup, the exoticity is shown to prevent the Dirac operator to be injective, allowing the existence of non-trivial solutions.
You have requested "on-the-fly" machine translation of selected content from our databases. This functionality is provided solely for your convenience and is in no way intended to replace human translation. Show full disclaimer
Neither ProQuest nor its licensors make any representations or warranties with respect to the translations. The translations are automatically generated "AS IS" and "AS AVAILABLE" and are not retained in our systems. PROQUEST AND ITS LICENSORS SPECIFICALLY DISCLAIM ANY AND ALL EXPRESS OR IMPLIED WARRANTIES, INCLUDING WITHOUT LIMITATION, ANY WARRANTIES FOR AVAILABILITY, ACCURACY, TIMELINESS, COMPLETENESS, NON-INFRINGMENT, MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. Your use of the translations is subject to all use restrictions contained in your Electronic Products License Agreement and by using the translation functionality you agree to forgo any and all claims against ProQuest or its licensors for your use of the translation functionality and any output derived there from. Hide full disclaimer
Details
1 Universidade Estadual Paulista, UNESP, Departamento de Física, Guaratinguetá, Brazil (GRID:grid.410543.7) (ISNI:0000 0001 2188 478X)
2 Universidade Estadual Paulista, UNESP, Departamento de Física, Guaratinguetá, Brazil (GRID:grid.410543.7) (ISNI:0000 0001 2188 478X); Instituto Federal de Educação, Ciência e Tecnologia do Norte de Minas Gerais, IFNMG, Pirapora, Brazil (GRID:grid.410543.7)
3 Federal University of ABC, CMCC, Santo André, Brazil (GRID:grid.412368.a) (ISNI:0000 0004 0643 8839)