Dirac particles tunnelling, barrow thermodynamics, and gravitational lensing in noncommutative-Finsler spacetimes

Abstract We examine a static and spherically symmetric noncommutative—Finsler black hole geometry in the presence of electromagnetic charge and a surrounding Kiselev fluid. The semiclassical tunnelling of Dirac particles is studied through the Hamilton-Jacobi method in an effectively reduced (2+1)-dimensional sector, yielding the standard Hawking temperature. By introducing a generalized uncertainty principle into the Dirac framework, we derive the GUP-corrected temperature and show that the deformation parameter produces measurable deviations near the horizon. In the thermodynamic sector, we employ the exponentially corrected Barrow entropy and analyse its impact on internal energy, Helmholtz free energy,…

• SC
  Sponsoring Consortium for Open Access Publishing in Particle Physics
• TB
  Türkiye Bilimsel ve Teknolojik Araştırma Kurumu