15 citations · 20 across the 4 of their papers we have counts for
11 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…
Finitary-Algebraic `Resolution' of the Inner Schwarzschild Singularity
Ioannis Raptis
A `resolution' of the interior singularity of the spherically symmetric Schwarzschild solution of the Einstein equations for the gravitational field of a point-particle is carried…
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…
Quantum Space-Time as a Quantum Causal Set
Ioannis Raptis
A recently proposed algebraic representation of the causal set model of the small-scale structure of space-time of Sorkin et al. is briefly reviewed and expanded. The algebraic mod…
Presheaves, Sheaves and their Topoi in Quantum Gravity and Quantum Logic
Ioannis Raptis
A brief synopsis of recent conceptions and results, the current status and future outlook of our research program of applying sheaf and topos-theoretic ideas to quantum gravity and…
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…