  We examine the nature of the cosmological Big Bounce transition within the
loop geometry underlying loop quantum cosmology at classical and quantum
levels. Our canonical quantization method is an alternative to the standard
loop quantum cosmology. An evolution parameter we use has a clear
interpretation. Our method opens the door for analyses of spectra of physical
observables like the energy density and the volume operator. We find that one
cannot determine the energy scale specific to the Big Bounce by making use of
the loop geometry without an extra input from observational cosmology.
