15 citations · 28 across the 6 of their papers we have counts for
6 papers
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…
Space-time foam dense singularities and de Rham cohomology
A. Mallios, E. E. Rosinger
In an earlier paper of the authors it was shown that the sheaf theoretically based recently developed abstract differential geometry of the first author can in an easy and natural…
Geometry and physics of today
Anastasios Mallios
The ``geometry'', in the sense of the classical differential geometry of smooth manifolds (CDG), is put under scrutiny from the point of view of Abstract Differential Geometry (ADG…
Quantum gravity and "singularities"
Anastasios Mallios
The paper concerns the fictitious entanglement of the so-called ``singularities'' in problems, pertaining to quantum gravity, due, in point of fact, to the way we try to employ, in…
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…