arXiv subjects

T. E. Raptis

Publications and source records attributed to T. E. Raptis.

12 recordsLinked to original sources

arXiv2019

Hidden Structure in the Solutions Set of the N Queens Problem

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 then proven that the solutions set is encoded in the entries of a special matrix. Further examination reveals a direct association with pointwise Boolean fractal operators applied on certain integer sequences associated with this matrix suggesting the presence of an underlying special geometry of the solutions set.

cs.AI↗

arXiv2019

Hybrid Analog Signal-Based Models of Computation

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 alternatives not yet fully explored. The essential difference from previous cases lies in the merging of general signal processing and computational theory with some emphasis on the foundations of computations and its logico-mathematical background and possible connections with fundamental physical processes. The technologies proposed could among other things be used to turn a standard RF network into a complete, autonomous holographic or distributed computational medium. Some applications for Multi-Agent Systems are also examined near the end.

eess.SP↗

arXiv2017

'Viral' Turing Machines, Computation from Noise and Combinatorial Hierarchies

The interactive computation paradigm is reviewed and a particular example is extended to form the stochastic analog of a computational process via a transcription of a minimal Turing Machine into an equivalent asynchronous Cellular Automaton with an exponential waiting times distribution of effective transitions. Furthermore, a special toolbox for analytic derivation of recursive relations of important statistical and other quantities is introduced in the form of an Inductive Combinatorial Hierarchy.

cs.AI↗

arXiv2016

Resonant Transmission Line Method for Econophysics models

In a recent paper [1304.6846], Racorean introduced a formal similarity of the Black-Sholes stock pricing model with a Schrödinger equation. We use a previously introduced method of a resonant transmission line for arbitrary 2nd order Sturm-Liouville problems to attack the same problem from a different perspective revealing some deep structures in the naturally associated eigenvalue problem.

physics.gen-ph↗

arXiv2016

Unitary Cellular Automata and Convolution Algebras

The original local, discrete example of Linear Unitary Cellular Automata (LUCA) is analyzed in terms of a new representation previously introduced in [1] for classical CA. Several important underlying symmetries are reviewed and their tight relationship with both signal and coding theory as well as with combinatorics is underlined. A class of analog implementations in the form of Linear Transmission Line Networks (LTLN) is described as possible emulators of this type of dynamics.

nlin.CG↗

arXiv2016

Quantum Superlattices, Wannier Stark Ladders and the 'Resonance' technique

We present a new method for solving the Schrodinger equation using the Lossless Transmission Line Model (LTL). The LTL model although extensively used in fiber optics and optical fiber design, it has not yet found application in solid state problems. We develop the transformation theory mapping the wave equation to LTL and we apply the model to the case of a solid state periodic lattice. We extend the theory with an additional Wannier-Stark term and we show with results the flexibility and the strength of the technique. The advantages of the method for arbitrary potentials are also stressed.

physics.gen-ph↗

arXiv2016

Spectral Representations and Global Maps of Cellular Automata Dynamics

We present a spectral representation of any computation performed by a Cellular Automaton (CA) of arbitrary topology and dimensionality via an appropriate coding scheme in Fourier space that can be implemented in an analog machine ideally circumventing part of the overall waste heat production. We explore further consequences of this encoding and we provide a simple example based on the Game-of-Life where we find global maps for small lattices indicating an interesting underlying recursive structure.

nlin.CG↗

arXiv2013

Transient force effects, as predicted by Mbelek and Lachièze-Rey scalar tensor theory of gravitation

The scalar-tensor theory of gravitation proposed by Mbelek and Lachièze-Rey have been recently shown to lead to some remarkable effects beyond those initially explored by its authors. These new effects include a possible explanation of the forces measured in asymmetric resonant microwave cavities, and the variation of the amplitude of electromagnetic waves as they propagate in static electric or magnetic fields. These rather unique effects are excelent candidates for laboratory tests of this particular type of scalar-tensor theory. In the present work we introduce an additional remarkable effect of the theory: the generation of pulsed gravitational forces by transient, quasi-stationary electromagnetic fields. In particular, we explore the possible measurable effects of the simple experiment of turning on and off the current in a coil. We show that with the proposed values of the constant in the theory, this effect could resonantly excite a pendulum oscillation up to an easily measurable magnitude.

gr-qc↗

arXiv2013

Understanding coil-to-globule transition of polymers with the aid of a novel cluster analysis technique

In this article, a novel cluster analysis algorithm was employed in the study of polymer coil to globule transition via single chain Monte Carlo simulations. The algorithm, which has been recently applied in Molecular Dynamics simulations of atomistic systems that tend to phase separate [arXiv: 1307.7366 [cond-mat.soft]], provides us with a convenient means to map out the dynamics of "pearls" formation along the backbone chain together with extracting meaningful quantitative information about their shape and size distribution. Preliminary findings tend to favour a two-stage model of collapse kinetics, although a more complicated picture emerges when looking at the details of cluster formation along the chain.

cond-mat.soft↗

arXiv2013

A Closed Algebra of Clebsch Forms Derived from Whittaker Super-potentials and applications in electromagnetic research

A type of closed exterior algebra in R3 under the cross product is revealed to hold between differential forms from the three Whittaker scalar potentials, associated with the fields of a moving electron. A special algebraic structure is revealed in the context of Clebsch reparametrization of these scalars, and a special prescription for the construction of permutation invariant electromagnetic fields is given as well as a superposition with parallel electric and magnetic components.

physics.gen-ph↗

arXiv2013

Electromagnetically induced vorticity control in a quantum fluid velocity field

A new method is reported by which it is possible to induce certain flux configurations of desired characteristics via electromagnetic means into the overall quantum probability current of a many-body system in the Madelung hydrodynamic picture. Some indicative applications are also considered with emphasis in HTC and gravitational wave research.

quant-ph↗

arXiv2013

Possible measurable effects of light propagating in electromagnetized vacuum, as predicted by a scalar tensor theory of gravitation

The effect of static electromagnetic fields on the propagation of light is analyzed in the context of a particular class of scalar-tensor gravitational theories. It is found that for appropriate field configurations and light polarization, anomalous amplitude variations of the light as it propagates in either a magnetized or electrified vacuum are strong enough to be detectable in relatively simple laboratory experiments.

gr-qc↗