22 citations · 86 across the 15 of their papers we have counts for
16 papers
Functorial Einstein Algebras and the Malicious Singularity
Michael Heller, Tomasz Miller, Leszek Pysiak +1
Einstein algebra, the concept due to Geroch, is essentially general relativity in an algebraic disguise. We introduce the concept of Einstein-Grassmann algebra as a superalgebra (d…
Einstein Algebras in a Categorical Context
Leszek Pysiak, Wiesław Sasin, Michael Heller +1
According to the basic idea of category theory, any Einstein algebra, essentially an algebraic formulation of general relativity, can be considered from the point of view of any ob…
Functorial differential spaces and the infinitesimal structure of space-time
Leszek Pysiak, Wiesław Sasin, Michael Heller +1
We generalize the differential space concept as a tool for developing differential geometry, and enrich this geometry with infinitesimals that allow us to penetrate into the superf…
Geometry and General Relativity in the Groupoid Model with a Finite Structure Group
M. Heller, T. Miller, L. Pysiak +1
In a series of papers we proposed a model unifying general relativity and quantum mechanics. The idea was to deduce both general relativity and quantum mechanics from a noncommutat…
Generalized derivations and general relativity
M. Heller, T. Miller, L. Pysiak +1
We construct differential geometry (connection, curvature, etc.) based on generalized derivations of an algebra . Such a derivation, introduced by Bresar in 1991, is give…
A Sheaf of von Neumann Algebras and Its Geometry
Michał Eckstein, Michael Heller, Leszek Pysiak +1
It is shown that the differential geometry of space-time, can be expressed in terms of the algebra of operators on a bundle of Hilbert spaces. The price for this is that the algebr…