Erlangen 2026 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 8: Poster Session
MP 8.3: Poster
Wednesday, March 18, 2026, 18:00–18:45, Redoutensaal
Testing Non-Commutative Spacetime and Dark Matter Coupling via X-Ray Binary QPO Observations — •Batuhan Çil1,2 and Ertan Güdekli3 — 1Faculty of Sciences and Literature, Department of Mathematics, Haliç University, Istanbul 34060, Turkey — 2Graduate School of Engineering and Science, Istanbul University, Istanbul 34134, Turkey — 3Department of Physics, Istanbul University, Istanbul 34134, Turkey
This study investigates the orbital dynamics and quasi-periodic oscillations (QPOs) of test particles around a charged non-commutative Schwarzschild black hole immersed in perfect-fluid dark matter (PFDM). Using the effective-potential formalism, we derive the specific energy, angular momentum and ISCO radii as functions of α, β and Q. PFDM introduces logarithmic corrections to the metric, while non-commutativity smooths the near-horizon geometry and shifts the epicyclic frequency profiles inward. We also compare the model with QPO data from four X-ray binaries via MCMC, obtaining bounds on α, β and Q and showing that PFDM and non-commutative effects leave observable signatures in strong-field QPO behaviour.
Keywords: quasi periodic oscillations; dark matter coupling; orbital dynamics; non commutative spacetime; innermost stable circular orbits