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We analyze the quantum Bianchi I model in the setting of the nonstandard loopquantum cosmology. Elementary observables are used to quantize the volumeoperator. The spectrum of the volume operator is bounded from below anddiscrete. The discreteness may imply a foamy structure of spacetime atsemiclassical level. The results are described in terms of a free parameterspecifying loop geometry to be determined in astro-cosmo observations. Anevolution of the quantum model is generated by the so-called true Hamiltonian,which enables an introduction of a time parameter valued in the set of all realnumbers.

Bianchi I model in terms of nonstandard loop quantum cosmology: Quantum dynamics