15 citations · 40 across the 7 of their papers we have counts for
6 papers · 1 filter
Smooth Singularities Exposed: Chimeras of the Differential Spacetime Manifold
Anastasios Mallios, Ioannis Raptis
The smooth gravitational singularities of the differential spacetime manifold based General Relativity (GR) are viewed from the perspective of the background manifold independent a…
On localizing topological algebras
Anastasios Mallios
Through the subsequent discussion we consider a certain particular sort of (topological) algebras, which may substitute the `` structure sheaf algebras'' in many--in point of fact,…
Finitary, Causal and Quantal Vacuum Einstein Gravity
Anastasios Mallios, Ioannis Raptis
We continue recent work and formulate the gravitational vacuum Einstein equations over a locally finite spacetime by using the basic axiomatics, techniques, ideas and working philo…
Remarks on "singularities"
Anastasios Mallios
We present herewith certain thoughts on the important subject of nowadays physics, pertaining to the so-called ``singularities'', that emanated from looking at the theme in terms o…
Finitary Cech-de Rham Cohomology: much ado without smoothness
A. Mallios, I. Raptis
The present paper is a continuation of our work on curved finitary spacetime sheaves of incidence algebras and treats the latter along Cech cohomological lines. In particular, we e…
Finitary Spacetime Sheaves of Quantum Causal Sets: Curving Quantum Causality
A. Mallios, I. Raptis
A locally finite, causal and quantal substitute for a locally Minkowskian principal fiber bundle of modules of Cartan differential forms $\omg$ over a bounded region …