Classical and Loop Quantum Cosmology of Interacting Dark Energy: A Dynamical System Analysis with Superfluid Dark Matter and Dust Matter
This paper employs dynamical system analysis to demonstrate that while interacting dark energy and dark matter models exhibit stable late-time attractors in classical gravity, the introduction of quantum geometric corrections in Loop Quantum Cosmology eliminates these stable solutions, replacing the Big Bang singularity with a quantum bounce and leaving only saddle and non-hyperbolic critical points across all scenarios.