Generally covariant N-particle dynamics
Journal of Geometry and Physics 2021, 160, 103990. https://doi.org/10.1016/j.
Tomasz Miller
PhD, mathematical physicist, studies the geometrical structures lying on the verge of general relativity and quantum mechanics, author and co-author of over a dozen of scientific and popular-scientific articles, assistant professor (adiunkt) at the Copernicus Center for Interdisciplinary Studies of Jagiellonian University.
Selected publications
Operational causality in spacetime
Physical Review A, 2020, 101, 042128. https://doi.org/10.1103/PhysRevA.101.042128
Does our Universe prefer exotic smoothness?
Symmetry, 2020, 12(1), 98. https://doi.org/10.3390/sym12010098
Functorial differential spaces and the infinitesimal structure of space-time
Reports on Mathematical Physics, 2020, 85(3), 443-454. https://doi.org/10.1016/S0034-4877(20)30046-X
Time functions and K-causality between measures
J. Phys.: Conf. Ser. 2018 968, 012008, 10.1088/1742-6596/968/1/012008
Creation of matter in a noncommutative universe
in: G. Gionti, J.-B. Kikwaya Eluo (eds.), The Vatican Observatory, Castel Gandolfo: 80th Anniversary Celebration, pp. 149–163, Springer International Publishing, 2018, 10.1007/978-3-319-67205-2
On the causality and K-causality between measures
Universe 2017, 3(1):27, 10.3390/universe3010027
The noncommutative geometry of Zitterbewegung
Phys. Rev. D 2017 95, 061701(R), 10.1103/PhysRevD.95.061701
Causal evolution of wave packets
Phys. Rev. A 2017 95, 032106, 10.1103/PhysRevA.95.032106
Polish spaces of causal curves
J. Geom. Phys. 2017, 116, 295–315, 10.1016/j.geomphys.2017.02.006
Causality for nonlocal phenomena
Ann. Henri Poincaré 2017, 18(9), 3049–3096, 10.1007/s00023-017-0566-1
Geometry and general relativity in the groupoid model with a finite structure group
Can. J. Phys. 2015, 93(1): 43–54, 10.1139/cjp-2014-0145
Generalized derivations and general relativity
Can. J. Phys. 2013, 91(10): 757–763, 10.1139/cjp-2013-0186