LQC
Loop Quantum Cosmology (LQC) is a framework for applying the methods of Loop Quantum Gravity (LQG) to symmetry-reduced cosmological spacetimes, principally homogeneous and isotropic universes. It treats spacetime geometry as quantum, using holonomies of the Ashtekar-Barbero connection and fluxes of densitized triads, as in LQG, but with a finite number of degrees of freedom appropriate to cosmology. LQC is a major line of research within loop quantum gravity and seeks to derive quantum cosmological dynamics from first principles.
In LQC, the classical phase space is quantized using a polymer representation, and the quantum Hamiltonian
A central result is the resolution of the Big Bang singularity via a quantum bounce: when the
LQC has been developed for isotropic (FLRW) and anisotropic (e.g., Bianchi) models and includes improvements to
Relation to LQG: LQC is a symmetry-reduced application of LQG quantization methods and is not yet a