2 citations · 2 across the 6 of their papers we have counts for
6 papers
A-Relativity: A General Theory of Gravity from Structure Sheaf
Ioannis Raptis
The aim of this paper is to introduce and disseminate to a wider readership of mathematicians, mathematical physicists and philosophers of mathematics and physics alike the basic t…
Observability of Linear Time-Invariant Systems with Relative Measurements: A Geometric Approach
Ioannis Raptis
This paper explores the observability and estimation capability of dynamical systems using predominantly relative measurements of the system's state-space variables, with minimal t…
A Heuristic Philosophical Discourse on Various Applications of Abstract Differential Geometry in Quantum Gravity Research
Ioannis Raptis
In the present paper, we outline and expound the fundamental and novel qualitative-cum-philosophical premises, principles, ideas, concepts, constructions and results that originate…
Multiplicatively Ordered and Directed Hybrid Jordan-Lie Superalgebra
Ioannis Raptis
A new algebra, hitherto not encountered in the usual Lie algebraic varieties or supervarieties, is introduced. The paper explores the rich and novel structure of the algebra, and i…
Functoriality in Finitary Vacuum Einstein Gravity and Free Yang-Mills Theories from an Abstract Differential Geometric Perspective
Ioannis Raptis
We continue ongoing research work on applying the homological algebraic conceptual and technical machinery of Abstract Differential Geometry towards formulating a finitary, causal…
Finitary Spacetime Sheaves
Ioannis Raptis
The notion of finitary spacetime sheaves is introduced based on locally finite approximations of the continuous topology of a bounded region of a spacetime manifold. Finitary space…