57 citations · 315 across the 23 of their papers we have counts for
23 papers
Constraints of the Teleparallel Equivalent of General Relativity in a gauge
Andrzej Okolow
We consider a specific Hamiltonian formulation of the Teleparallel Equivalent of General Relativity, where the canonical variables are expressed by means of differential forms. We…
Hilbert spaces built over metrics of fixed signature
Andrzej Okolow
We construct two Hilbert spaces over the set of all metrics of arbitrary but fixed signature, defined on a manifold. Every state in one of the Hilbert spaces is built of an uncount…
Space of quantum states built over metrics of fixed signature
Andrzej Okolow
We construct a space of quantum states and an algebra of quantum observables, over the set of all metrics of arbitrary but fixed signature, defined on a manifold. The construction…
Does time always slow down as gravity increases?
Andrzej Okolow
We consider gravitational time dilation between stationary observers and present examples, which contradict the statement that "time slows down as gravity increases". We show furth…
Constrained projective quantum states for the degenerate Plebanski gravity
Andrzej Okolow
Nowadays projective quantum states can be constructed for a number of field theories including Loop Quantum Gravity. However, these states are kinematic in this sense that their co…
A modification of the projective construction of quantum states for field theories
Jerzy Kijowski, Andrzej Okolow
The projective construction of quantum states for field theories may be flawed--in some cases the construction may possibly lead to spaces of quantum states which are "too small" t…