15 citations · 20 across the 4 of their papers we have counts for
6 papers · 1 filter
`Mixed' Jordan-Lie Superalgebra
Ioannis Raptis
An algebra A not encountered in either the usual algebraic varieties or supervarieties is introduced. A is a graded and deformed version of the quaternions, with structure similar…
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…
Sheafifying Consistent Histories
Ioannis Raptis
Isham's topos-theoretic perspective on the logic of the consistent-histories theory is extended in two ways. First, the presheaves of consistent sets of history propositions in the…
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 …
Non-Commutative Topology for Curved Quantum Causality
Ioannis Raptis
A quantum causal topology is presented. This is modeled after a non-commutative scheme type of theory for the curved finitary spacetime sheaves of the non-abelian incidence Rota al…