13 citations · 19 across the 3 of their papers we have counts for
6 papers
General Relativity on Random Operators
Michael Heller, Leszek Pysiak, Wieslaw Sasin
We present a mathematical structure which unifies mathematical structures of general relativity and quantum mechanics. It consists of the noncommutative algebra of compactly suppor…
Anatomy of Malicious Singularities
Michael Heller, Zdzislaw Odrzygozdz, Leszek Pysiak +1
As well known, the b-boundaries of the closed Friedman world model and of Schwarzschild solution consist of a single point. We study this phenomenon in a broader context of differe…
Conceptual Unification of Gravity and Quanta
M. Heller, L. Pysiak, W. Sasin
We present a model unifying general relativity and quantum mechanics. The model is based on the (noncommutative) algebra \mbox{\cal A} on the groupoid Γ= E \times G where E is the…
Observables in a Noncommutative Unification of Quanta and Gravity. A Final Model
Leszek Pysiak, Michael Heller, Zdzislaw Odrzygozdz +1
We further develop a noncommutative model unifying quantum mechanics and general relativity proposed in {\it Gen. Rel. Grav.} (2004) {\bf 36}, 111-126. Generalized symmetries of th…
Noncommutative Dynamics of Random Operators
Michael Heller, Leszek Pysiak, Wieslaw Sasin
We continue our program of unifying general relativity and quantum mechanics in terms of a noncommutative algebra on a transformation groupoid where …
Noncommutative Unification of General Relativity and Quantum Mechanics. A Finite Model
M. Heller, Z. Odrzygozdz, L. Pysiak +1
We construct a model unifying general relativity and quantum mechanics in a broader structure of noncommutative geometry. The geometry in question is that of a transformation group…