4 papers
Foamy structure of spacetime
Przemyslaw Malkiewicz, Wlodzimierz Piechocki
We examine spectrum of the physical volume operator within the non-standard loop quantum cosmology. The spectrum is discrete with equally distant levels defining a quantum of the v…
Energy Scale of the Big Bounce
Przemyslaw Malkiewicz, Wlodzimierz Piechocki
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 quantizati…
Classical membrane in a time dependent orbifold
Przemyslaw Malkiewicz, Wlodzimierz Piechocki
We analyze classical theory of a membrane propagating in a singular background spacetime. The algebra of the first-class constraints of the system defines the membrane dynamics. A…
Excited states of a string in a time dependent orbifold
Przemyslaw Malkiewicz, Wlodzimierz Piechocki
We present analytical results on the propagation of a classical string in non-zero modes through the singularity of the compactified Milne space. We restrict our analysis to a stri…