I will present recent advances in the theory of free scalar and fermionic fields defined on κ-Minkowski noncommutative spacetime, emphasizing how the choice of Lagrangian (which becomes trivial in the commutative limit) affects the canonical conserved charges associated with κ-Poincaré symmetries and their algebra. These results will be analyzed through the lens of discrete symmetries – C, P,...
In the quest of finding a quantum description of the early universe, we consider a quantised flat FLRW background together with quantum perturbations. We compute quantum trajectories for a universe that can be in a superposition of semiclassical background (and perturbation) states and investigate how the evolution of cosmological perturbations is influenced by the quantum nature of the...
We explore the modifications to fundamental geometric variables of Loop Gravity induced by the presence of fermions, and examine the resulting gravitational dynamics. This analysis is then extended to incorporate Quantum Electrodynamics (QED). Finally, we discuss potential approaches for quantizing the system, outlining possible directions for future research.
