9 papers
Hidden Structure in the Solutions Set of the N Queens Problem
T. E. Raptis
Some preliminary results are reported on the equivalence of any n-queens problem with the roots of a Boolean valued quadratic form via a generic dimensional reduction scheme. It is…
Hybrid Analog Signal-Based Models of Computation
T. E. Raptis
The present work attempts both a review of previous methods for transferring digital and symbolic computations in an analog or optical substrate and also to offer certain alternati…
Holographic Automata for Ambient Immersive A. I. via Reservoir Computing
Theophanes E. Raptis
We prove the existence of a semilinear representation of Cellular Automata (CA) with the introduction of multiple convolution kernels. Examples of the technique are presented for r…
Encoding discrete quantum algebras in a hierarchy of binary words
Theophanes E. Raptis
It is shown how to endow a hierarchy of sets of binary patterns with the structure of an abstract,normed C*-algebra. In the course we also recover an intermediate connection with t…
Finite Information Numbers through the Inductive Combinatorial Hierarchy
Theophanes E. Raptis
We report on a recent conjecture by Gisin on a restriction of physical processes in sets of finite information numbers (FIN) and further analyze the entropic constraint associated…
Beltrami Flows, Non-Diffracting Waves and the Axion Beltrami-Maxwell Postulates
Theophanes E. Raptis, Christos D. Papageorgiou
We present a particular class of solutions in Cartesian, cylindrical and spherical coordinates of the non-dispersive travelling wave variety that propagate an envelope of varying v…