Turning Big Bang into Big Bounce: I. Classical Dynamics

Understand

The big bounce (BB) transition within a flat Friedmann-Robertson-Walker model is analyzed in the setting of loop geometry underlying the loop cosmology.

• We solve the constraint of the theory at the classical level to identify physical phase space and find the Lie algebra of the Dirac observables.
• We express energy density of matter and geometrical functions in terms of the observables.
• It is the modification of classical theory by the loop geometry that is responsible for BB.