Edward Bormashenko

• Professor
• Professor at Ariel University

The research is motivated by the search for materials with negative viscosity to exploit the effect of negative mass. We introduce media (gaseous and liquid) that demonstrate negative viscosity. Consider the vibrated plate, which is vertically pulled through the ideal gas and built from the core-shell "meta-molecules". Vibrating the vertical plate...

Deflection of a vertically falling jet of distilled water by a permanent magnetic field was studied experimentally and theoretically. Water jet with a diameter at the base of the jet d = 1.1 ± 0.05 mm was deflected by the magnetic field of intensity B = 0.63 ± 0.03 T produced by a permanent neodymium magnet. The average angular deflection of the wa...

Ramsey analysis is applied for the problem of relativistic and quantum synchronization of clocks. Various protocols of synchronization are addressed. Einstein and Eddington special relativity synchronization procedures are considered; quantum synchronization is discussed. Clocks are seen as the vertices of the graph. Clocks may be synchronized or u...

This book examines advances in bioinspired materials and metamaterials and investigates how their tailor-engineered properties enable the design of devices and ultimately the ability to solve complex societal problems that are, in principle, impossible with traditional materials. The aim is to survey the scientific foundations of the design and pro...

We propose the Ramsey approach for the analysis of the kinematics of the systems built of non-relativistic, motile point masses/particles. The approach is based on the colored graphs theory. Point masses/particles serve as the vertices of the graph. The time dependence of the distance between the particles determines the coloring of the links. The...

The meta-mathematic approach to the mathematical duality is introduced. Systems of mathematical theorems/propositions related each to other by the mutually exclusive relations of “duality” and “non-duality” are addressed. Theorems/propositions are considered as the vertices of the graph, and the relations of duality appear as the links connecting t...

Ten points in the plane numbered {1 ′ , 2 ′ , … , 10 ′ } are arbitrarily combined in pairs denoted {1,. . ,5}. Pairs of the points denoted {1,. . ,5} serve as the vertices of the graph. The vertices are "friends", when all of the points belonging to the both of the vertices are located on the same straight line. In this case, they are connected wit...

Запись Семинара Памяти Александра Владимировича Воронеля

We introduce the media (gaseous and liquid) demonstrating the negative viscosity. Consider the vibrated plate (ω is the frequency of vibrations), which is vertically pulled through the gas, built of the core-shell ”meta-molecules”: the mass of the shell is M, the mass of the core is m, the core is connected to the shell with the ideal spring k. Y i...

Ушел из жизни Александр Владимирович Воронель: физик, философ, диссидент, литератор, учитель, друг. Оставленное им наследие громадно. Я буду говорить об оригинальной философии, осмысленной Александром Воронелем. Я определил бы ее как реалистический фундаментализм. Воронель не пытался вывести мир из человека; вектор его мышления направлен в противоп...

Application of the Ramsey Infinite Theorem to the fundamental variational principles of physics is addressed. The Hamilton Least Action Principle states that, for a true/actual trajectory of a system, Hamilton’s Action is stationary for the paths, which evolve from the preset initial space-time point to the preset final space-time point. The Hamilt...

The system of non-interacting electrically charged core-massless spring-shell mechanical units, demonstrating negative effective mass, is considered, seen as a Drude–Lorentz gas. When such an ideal gas is exposed to the external harmonic field, it demonstrates as the certain conditions the negative frequency-dependent electrical conductivity. The n...

Ramsey theory is applied to the analysis of operators acting on the functions belonging to the L^2 Hilbert space. The operators form the vertices of the bi-colored graph. If the operators commute, they are joint by a yellow edge; if the operators do not commute they are joint with a blue edge. Thus, the complete, non-directed, bi-colored graph aris...

We propose a Ramsey-theory-based approach for the analysis of the behavior of isolated mechanical systems containing interacting particles. The total momentum of the system in the frame of the center of masses is zero. The mechanical system is described by a Ramsey-theory-based, bi-colored, complete graph. Vectors of momenta of the particles p→i se...

The Voronoi Entropy (VE) and the continuous measure of symmetry (CSM) characterize the orderliness of a set of points on a 2D plane. The Voronoi entropy is the Shannon entropy of the Voronoi tessellation of the plane into polygons, quantifying the diversity of polygons. The VE is widely used to study the self-assembly of colloidal, supramolecular,...

We propose the Ramsey approach for the analysis of behavior of isolated mechanical systems containing interacting particles. The total momentum of the system in the frame of the center of masses is zero. The mechanical system is described by the Ramsey, bi-colored, complete graph. Vectors of momenta of the particles p ⃗_i serve as the vertices of t...

We applied the Ramsey analysis to the sets of points belonging to Riemannian manifolds. The points are connected with two kinds of lines: geodesic and non-geodesic. This interconnection between the points is mapped into the bi-colored, complete Ramsey graph. The selected points correspond to the vertices of the graph, which are connected with the b...

Ramsey theory enables re-shaping of the basic ideas of the quantum mechanics. Quantum observables, represented by linear Hermitian operators are seen as the vertices of the graph. Relation of commutation define coloring of the edges linking the vertices: if the operators commute, they are connected with the red link; if they do not commute they are...

We propose the Ramsey approach for the analysis of behavior of isolated mechanical systems containing interacting particles. The total momentum of the system in the frame of the center of masses is zero. The mechanical system is described by the Ramsey, bi-colored, complete graph. Vectors of momenta of the particles pcmi serve as the vertices of th...

Ramsey approach to the vectors fields is introduced. Set of N vectors defined on R^3, taken as the generators of the bi-colored complete graph, is introduced. Vectors are considered as the vertices of the graph. Following coloring procedure is suggested: vertices numbered i and j are linked with the red edge if the scalar product of the vectors is...

В первой части нашего разыскания мы убедились в том, что взвесить и обмерить прогресс непросто (https://kstati.net/na-krayu-progressa/). Но мы будем разбираться с представлением о прогрессе, и следуя Конфуцию, продолжим заниматься «исправлением имен». И я начну сразу с незаметного жульничества, с подмены: я хочу говорить о «развитии», а не о «прогр...

За последний год, на краю пропасти последней мировой войны, разгорелся яростный спор о прогрессе? Прогресс, он реальность или миф? Если реальность, то в чем он явлен? Если миф, то в чем его особенности? Философ Андрей Баумейстер в своей недавней лекции окрестил «прогресс» опаснейшим и зловреднейшим заблуждением. А меня в школе учили что прогресс –...

Self-assembled microdroplet clusters can levitate above a locally heated water surface. Normally the temperature of droplets is in the range of 50–95 C. However, it is possible to generate clusters at lower temperatures. Here we study the structure and behavior of such cold stabilized droplet clusters with a variable temperature. It has been estab...

We investigated the motion of spherical polystyrene/polypyrrole- coated polystyrene Janus particles placed at an air/saline interface and driven by a permanent magnetic field of ca. 0.5 T. For the sake of comparison, the motion of pure floating polystyrene particles was studied. Both kinds of the studied particles moved toward the magnet and stoppe...

A mathematical procedure enabling the transformation of an arbitrary tessellation of a surface into a bi-colored, complete graph is introduced. Polygons constituting the tessellation are represented by vertices of the graphs. Vertices of the graphs are connected by two kinds of links/edges, namely, by a green link, when polygons have the same numbe...

В замечательной миниатюре Г.-Г. Гадамера «Философия и Литература» читаем: «В Марбурге Аристотеля ставили весьма невысоко. Герман Коген дал ему наиболее безапелляционную характеристику: «Аристотель был аптекарем…». Этим он выразил свое понимание Аристотеля, как чисто классифицирующего мыслителя, который подобно аптекарю, занимается наклеиванием этик...

In this study, we simulate breath figures that are evolving two-dimensional assemblies of droplets on a substrate. We focus on the Voronoi/Shannon entropy of these figures, which quantifies the order related to the coordination number of droplets. We show that the Voronoi entropy of the complete breath figure pattern converges to a value that is th...

We report positive correlations between letter frequency and symmetry (more symmetric symbols are more frequent) in English and Russian languages and in four types of numerals (Western, Roman, Arabic, and Chinese) with the coefficients of determination of R^2=0.899 (English), R^2=0.693 (Russian) and R^2=0.740 (numerals). For comparison, we studied...

A mathematical procedure enabling the transformation of an arbitrary tessellation of a surface into a bi-colored complete graph is introduced. Polygons constituting the tessellation are represented by vertices of the graphs. Vertices of the graphs are connected by two kinds of links/edges, namely, by a green link, when polygons have the same number...

I Архэ под обломками великих философских систем ХХ век вместил столь многое, что попытка осознать, что же именно в нем произошло, представляется попыткой объять необъятное. Я имею в виду не исторический водоворот, пронесшийся над Земным Шаром, снесший империи и перекроивший карту мира, но события в области мысли, философии, осознании человеком мира...

1. О подсолнухах и числах Фибоначчи, цикадах и простых числах, многоножках и Архимедовой Спирали В те далекие годы, когда я учился на физфаке Харьковского Университета отношение к биологам было снисходительное, покровительственное и слегка насмешливое. Добропорядочный физик-теоретик, наткнувшись на набор непереваренных, сырых, плохо упорядоченных,...

Perfluorocarbon liquids (PFCLs) are essential in ophthalmology due to their unique properties, such as higher density than water, inert chemical nature and optical transparency. They serve as crucial tools in retinal detachment surgery, acting as both intraoperative aids and short-term tamponade agents. However, the interactions between PFCLs and t...

The Ramsey theory based approach to the phase transitions of the second order is suggested. The phase transitions of the second order are seen as switching of physical interactions/chemical bonds between the entities forming the primitive cell of the material. Such a switching is typical for a phase change materials. If the energy of the primitive...

The physical roots, interpretation, controversies, and precise meaning of the Landauer principle are surveyed. The Landauer principle is a physical principle defining the lower theoretical limit of energy consumption necessary for computation. It states that an irreversible change in information stored in a computer, such as merging two computation...

A multistage evaporation of continuously heated liquid marbles, coated with polytetrafluoroethylene colloidal particles was investigated experimentally and theoretically. Liquid marbles initially contained an almost saturated aqueous NaCl solution. Numerical heat transfer calculations and analytical evaluations of initial evaporation showed that th...

As woods are dwindling and agriculture waste burning causes severe air pollution and releases greenhouse gases, the processing of Hemp and lignocellulosic surplus materials into chipboards and other construction elements, may substitute timber and reduce environmental pollution. The presented environmental-friendly technology has the potential of p...

A multistage evaporation of a continuously heated liquid marbles, coated with polytetrafluoroethylene colloidal particles was investigated experimentally and theoretically. Liquid marbles initially contained an almost saturated aqueous NaCl solution. Numerical heat transfer calculations and analytical evaluations of initial evaporation showed that...

We investigated the time evolution of the symmetry of symbols constituting alphabets rooted in the Phoenician script. A diversity of quantitative measures of symmetry of graphemes appearing in Phoenician, Western Greek, Etruscan from Marsiliana, Archaic Etruscan, Neo-Etruscan, Euclidian Greek, Archaic and Classical Latin, and Proto-Hebrew scripts,...

The physical roots, interpretation, controversies and precise meaning of the Landauer Principle are surveyed. Landauer’s principle is a physical principle pertaining to the lower theoretical limit of energy consumption of computation. It states that an irreversible change in information stored in a computer, such as merging two computational paths,...

The physical roots, interpretation, controversies and precise meaning of the Landauer Principle are surveyed. Landauer’s principle is a physical principle pertaining to the lower theoretical limit of energy consumption of computation. It states that an irreversible change in information stored in a computer, such as merging two computational paths,...

qualitative analysis of pressure acting within the human eye is presented. The situation emerging within the human eye in rest and human eye of accelerated/training person should be distinguished. When the person is in rest, the hydrostatic pressure is much larger than the Laplace pressure. The dynamic (Bernoulli pressure) emerging from intraocular...

Time evolution of the symmetry of symbols constituting alphabets rooted in the Phoenician script was investigated. A diversity of quantitative measures of symmetry of graphemes appearing in Phoenician, Western Greek, Etruscan from Marsiliana, Archaic Etruscan, Neo‐Etruscan, Euclidian Greek, Archaic and Classical Latin, and Proto‐Hebrew scripts, con...

Reinterpretation of the Fermat principle governing the propagation of light in media within the Ramsey theory is suggested. Complete bi-colored graphs corresponding to light propagation in media are considered. The vertices of the graphs correspond to the points in real physical space in which the light sources or sensors are placed. Red links in t...

The effect of the negative effective mass emerging in the gravitating core-spring-shell system is considered. The effect appears when the entire system is exerted on the external harmonic force and the frequency of external force approaches the critical frequency ω0 from above. The critical frequency ω0 depends on the density of the self-gravitatin...

The effect of the negative effective mass emerging in the gravitating core-spring-shell system is considered. The effect appears when the entire system is exerted on the external harmonic force and the frequency of external force approaches the critical frequency \({\omega }_{0}\) from above. The critical frequency \({\omega }_{0}\) depends on the...

The time evolution of the continuous measure of symmetry for a system built of three bodies interacting via the potential U(r) ∼ 1 r is reported. Gravitational and electrostatic interactions between the point bodies were addressed. In the case of a pure gravitational interaction, the three-body-system deviated from its initial symmetrical location,...

Re-interpretation of the Fermat principle governing propagation of light in media within the Ramsey Theory is suggested. Complete bi-colored graphs corresponding to the light propagation in media are considered. The vertices of the graphs correspond to the points of the real physical space, in which light sources or sensors are placed. Red links in...

С 13-го столетия в бургундском городке Ноле проживали судьи, нотариусы, адвокаты, священники, ученые Карно; если не ошибаюсь, их имя с незапамятных времен носят вблизи Ноле какие-то источники, старые деревья, кресты на дорогах. Был среди них и святой, но он составлял исключение: ни по характеру, ни по выбору жизни, ни по образу мыслей большинство ч...

An entropic origin of gravity is re-visited. Isothermal self-gravitating clouds seen as an ideal gas are analyzed. Gravitational attraction within the isothermal cloud in equilibrium is balanced by the pressure, which is of a pure entropic nature. The notion of the Jeans Entropy of the cloud, corresponding to the entropy of the self-gravitating clo...

Shannon entropy quantifying bi-colored Ramsey complete graphs is introduced and calculated for complete graphs containing up to six vertices. Complete graphs in which vertices are connected with two types of links, labeled as α-links and β-links, are considered. Shannon entropy is introduced according to the classical Shannon formula considering th...

В этой работе мы поставим вопросы, расположившиеся у края королевства физики, вопросы на которые физики не только не отвечает, но полагают непристойным задавать. Иными словами, мы займем по отношению к физике мета-позицию, попросту, займемся метафизикой. Метафизику в ХХ веке раскассировали. Один из лидеров Венского Кружка Рудольф Карнап писал следу...

he time evolution of the continuous measure symmetry for the system built of the three bodies interacting via the potential 𝑈(𝑟)~ 1/𝑟 is reported. Gravitational and electrostatic interactions between the point bodies were addressed. In the case of the pure gravitational interaction the three-body-system deviated from its initial symmetrical locatio...

The time evolution of the continuous measure symmetry for the system built of the three bodies interacting via the potential U(r)~1/r is reported. Gravitational and electrostatic interactions between the point bodies were addressed. In the case of the pure gravitational interaction the three-body-system deviated from its initial symmetrical locatio...

The time evolution of the continuous measure symmetry for the system built of the three bodies interacting via the potential U(r)~1/r is reported. Gravitational and electrostatic interactions between the point bodies were addressed. In the case of the pure gravitational interaction the three-body-system deviated from its initial symmetrical locatio...

The impact of liquid marbles coated with a diversity of hydrophobic powders with various solid substrates, including hydrophobic, hydrophilic, and superhydrophobic ones, was investigated. The contact time of the bouncing marbles was studied. Universal scaling behavior of the contact time tc as a function of the Weber number (We) was established; th...

The monograph provides a systematical consideration of a fascinating phenomenon known as the "droplet cluster". A self-assembled cluster of small droplets formed over a locally heated surface of a liquid is of interest not only as a physical phenomenon, but can also be used to solve some applied problems. In particular, water droplets of a stabiliz...

У Хосе Ортеги-и-Гассета читаем: «Научной системе важнее всего быть истинной. Но изложение научной системы налагает еще одну обязанность, она должна быть понятной». В самом деле, любая научная или философская система всегда представляет собой Янус-систему. Одной половиной своей физиономии она обращена к действительности, но другой опрокинута в челов...

Paraffin wax stores energy in the form of latent heat at a nearly constant temperature during melting and releases this energy during solidification. This effect is used in industrial energy storage. At the same time, the possible deformation of even small volumes of material as a result of phase change is insufficiently studied. In this paper, the...

Shannon entropy quantifying bi-colored Ramsey complete graphs is introduced. Complete graphs in which vertices are connected with two types of links, labeled as α-links and β-links are considered. Shannon-entropy is introduced according to the classical Shannon formula considering the fractions of monochromatic convex α-colored polygons with n α-si...

Method of preparing of chipboards under plasma treatment of organic waste is developed.

Paraffin wax stores energy in the form of latent heat at a nearly constant temperature during melting and releases this energy during solidification. This effect is used in industrial energy storage. An unusual change in the shape of a melted droplet of paraffin wax placed on a relatively cold glass plate is studied. As the droplet solidifies, its...

This thesis delves into a comprehensive study of utilizing the Moses Effect, where the interface of a liquid deforms under an applied magnetic field, for the measurement of magnetic properties in diamagnetic liquids. The focus of the research is to exploit this unique phenomenon as an innovative means to assess magnetic susceptibility in variou...

Application of the Ramsey Theory to the set of the points placed in the plane is discussed. Consider a set of N points located in the same plane. The straight lines connecting these points are () = + (, = 1.. .). Listed below values of slopes are possible: > 0; = 0; is not defined; < 0. Following coloring procedure is introduced: we connect the pai...

Application of the Ramsey Theory to the set of the points placed in the plane is discussed. 8 Consider a set of N points located in the same plane. The straight lines connecting these points are 9 () = + (, = 1.. .). Listed below values of slopes are possible: > 0; = 0; 10 is not defined; < 0. Following coloring procedure is introduced: we connect...

Fibonacci Sequences, Symmetry and Order in Biological Patterns, Their Sources, Information Origin and the Landauer Principle

Ramsey theory constitutes the dynamics of mechanical systems, which may be described as abstract complete graphs. We address a mechanical system which is completely interconnected by two kinds of ideal Hookean springs. The suggested system mechanically corresponds to cyclic molecules, in which functional groups are interconnected by two kinds of ch...

Как Большие Данные изменили парадигму научного познания (к четырехсотлетнему юбилею научного метода) Нам довелось жить в эпоху перемен. Меняются самые основания научного метода, основания мышления, со времен Галилея служившие верой и правдой познанию природы последние четыреста лет. Годом рождения современной науки с большим на то основанием можно...

The best known are the common hexagonal droplet clusters. In this paper levitating clusters of quite different structures are presented in photos and videos. The conditions of formation of these droplet clusters are briefly discussed.

In this paper, we utilize the Ramsey theory to investigate the geometrical characteristics of closed contours. We begin by examining a set of six points arranged on a closed contour and connected as a complete graph. We assign the downward-pointing edges a red color, while coloring the remaining edges green. Our analysis establishes that the curve...

The relationship between the magnetic susceptibility and degree of polymerization of liquid polydimethylsiloxane (PDMS) was studied experimentally. The magnetic susceptibility of the liquid PDMS was established with the Moses effect, i.e. study of the shape of the near-surface well (the well created near the surface-vapor interface) created in the...

Ramsey theory is implemented to the analysis of physical systems. Physical interactions may be very generally classified as attractive and repulsive. This classification creates the premises for the application of the Ramsey theory to the analysis of physical systems. The basic notions of mathematical logic, such as transitivity and intransitivity,...

Voronoi mosaics inspired by seed points placed on the Archimedes Spirals are reported. Voronoi (Shannon) entropy was calculated for these pa erns. Equidistant and non-equidistant pa erns are treated. Voronoi tessellations generated by the seeds located on the Archimedes spiral and separated by linearly growing radial distance demonstrate a switch i...

Ramsey theory influences the dynamics of mechanical systems, which may be described as abstract complete graphs. We address a mechanical system which is completely interconnected with the two kinds of ideal Hookean springs. The suggested system mechanically corresponds to the cyclic molecules, in which functional groups are interconnected with two...

Reshaping of thermodynamics with the graph theory and Ramsey theory is suggested. Maps built of thermodynamic states are addressed. Thermodynamic states may be attainable and non-attainable by the thermodynamic process in the system of constant mass. We address the following question how large should be a graph describing connections between discre...

Freezing of water droplets placed on the bare and superhydrophobic surfaces of polymer wedges is studied both experimentally and computationally. Two-dimensional numerical calculations of the transient temperature field in a chilled polymer wedge show that the direction of heat flux from the droplet through the thermal contact region with the wedge...

Applications of the Ramsey Theory for physics and materials science.

Application of the Ramsey graph theory to the analysis of physical systems is reported. Physical interactions may be very generally classified as attractive and repulsive. This classification creates the premises for the application of the Ramsey theory to the analysis of physical systems built of electrical charges, electric and magnetic dipoles....

Application of the Ramsey graph theory to the analysis of physical systems is reported. Physical interactions may be very generally classified as attractive and repulsive. This classification creates the premises for the application of the Ramsey theory to the analysis of physical systems built of electrical charges, electric and magnetic dipoles....

Voronoi mosaics inspired by the seed points placed on the Archimedes Spirals are reported. Voronoi entropy was calculated for these patterns. Equidistant and non-equidistant patterns are treated. Voronoi mosaics built from a sells of equal size which are of a primary importance for decorative arts are reported. The pronounced prevalence of hexagons...

Freezing of water droplets placed on the bare and superhydrophobic surfaces of polymer wedges are studied both experimentally and computationally. Two-dimensional numerical calculations of the transient temperature field in a chilled polymer wedge show that the direction of heat flux from the droplet through the thermal contact region with the wedg...

We used the complete set of convex pentagons to enable filing the plane without any overlaps or gaps (including the Marjorie Rice tiles) as generators of Voronoi tessellations. Shannon entropy of the tessellations was calculated. Some of the basic mosaics are flexible and give rise to a diversity of Voronoi tessellations. The Shannon entropy of the...

Application of the Ramsey graph theory to the analysis of physical systems is reported. Physical interactions may be very generally classified as attractive and repulsive. This classification creates the premises for the application of the Ramsey theory to the analysis of physical systems built of electrical charges, electric and magnetic dipoles....

We used the complete set of convex pentagons enabling filing the plane without any overlaps or gaps (including the Marjorie Rice tiles) as generators of Voronoi tessellations. Shannon entropy of the tessellations was calculated. Some of the basic mosaics are flexible and give rise to a diversity of Voronoi tessellations. The Shannon entropy of thes...