Диаграммы Пенроуза в исходном варианте являются системой координат, не имеющей принципиальных отличий, например, от традиционной декартовой системы координат. Использованное в диаграммах Пенроуза конформное тангенциальное сжатие также имеет принципиальное сходство, например, с логарифмическим сжатием декартовых координат. Однако некоторые модификации диаграмм Пенроуза приводят к возникновению на них физически противоречивых областей, например, с анизотропией времени, разрывами пространства, деформацией координатной сетки.
Abstract: Penrose diagrams - what are they? The Penrose diagrams in the original version are a coordinate system that has no fundamental differences, for example, from the traditional Cartesian coordinate system. The conformal tangential compression used in the Penrose diagrams also has a fundamental similarity, for example, with logarithmic compression of the Cartesian coordinates. However, some modifications of the Penrose diagrams lead to the appearance of physically contradictory regions on them, for example, with anisotropy of time, ruptures of space, deformation of the coordinate grid.

Полная версия публикации

Monographs, textbooks and books on the theory of cellular automata, computer mathematics systems, computer science, the general theory of statistics, prepared and published by the staff of the Tallinn Research Group in 1995–2019. Many of these publications are available for free viewing and downloading.

Полная версия публикации

Стандартная модель физики рассматривает четыре фундаментальных взаимодействия: гравитационное, электромагнитное, сильное и слабое. Но в объективной реальности существует ещё и магнитное взаимодействие, которое распространяется посредством магнитных зарядов, которые называется гравитонами. Гравитоны – это мини вихри эфира, магнитные диполи и кирпичики материи. Энергия вихря генерирует однонаправленное движение эфира между полюсами, в результате чего эфир всасывается одним полюсом и выбрасывается противоположным полюсом. Так формируются силы, которые мы называем магнитными силами

Полная версия публикации

Считается, что для разгона космического корабля до больших, вплоть до субсветовых скоростей необходимы значительные запасы топлива. Однако ограниченность скорости распространения гравитации приводит к возникновению релятивистского эффекта гравитационного самоускорения, когда протяженный объект увеличивает скорость своего движения без приложения к нему внешней силы, так называемое, безопорное движение. И напротив, гравитационное ускорение становится невозможным, если скорость распространения гравитации бесконечна.
Spacecraft engine on the effect of gravitational self-acceleration
It is believed that significant reserves of fuel are required to accelerate a spacecraft to high speeds, up to subluminal speeds. However, the limited speed of propagation of gravity leads to the emergence of the relativistic effect of gravitational self-acceleration, when an extended object increases the speed of its motion without the application of an external force to it, the so-called unsupported motion. Conversely, gravitational some acceleration becomes impossible if the speed of propagation of gravity is infinite.

Полная версия публикации

Cellular Automata (CAs) – parallel information processing systems that consists of infinity intercommunicating identical Mealy automata (elementary automata). We can interpret CAs as a theoretical basis of artificial high parallel information processing systems. From the logical standpoint a CA is an infinite automaton with specifical internal structure. The CA theory can be considered as structural and dynamical theory of the infinite automata. At that, CA models can serve as an excellent basis for modeling of many discrete processes, representing interesting enough independent objects for research too. Recently, the undoubted interest to the CA problems has arisen anew, and in this direction many remarkable results have been obtained. The CA–axiomatics provides three fundamental properties such as homogeneity, localness and parallelism of functioning. If in a similar computing model we shall with each elementary automaton associate a separate microprocessor then it is possible to unrestrictedly increase the sizesof similar computing system without any essential increase of its temporal and constructive expenses, required for each new expansion of the computing space, and also without any overheads connected to coordination of functioning of an arbitrary supplementary quantity of elementary microprocessors. In the work a brief historical survey of the cellular automata is presented.

Полная версия публикации

Рассмотрена модификация традиционной установки для телепортации квантового состояния кубита. На передающей стороне изменена на противоположную последовательность гейтов CNOT и гейта Адамара. Модифицированная установка позволяет телепортировать теперь уже не просто неизвестное состояние кубита, а состояние запутанности кубитов. На стороне передатчика установка переводит два кубита в состояние запутанности, в результате чего и на стороне приемника два кубита также оказываются в состоянии запутанности. Показана также возможность непосред-ственной сверхсветовой передачи классической информации с помощью гейта CNOT. A modification of the traditional setup for teleporting the quantum state of a qubit is considered. On the transmitting side, it is changed to the opposite sequence of the CNOT gates and the Hadamard gates. The modified installation allows you to teleport now no longer just an unknown state of the qubit, but a state of entanglement of qubits. On the transmitter side, the installation translates two qubits into a state of entanglement, with the result that, at the receiver side, two qubits also end up in a state of en-tanglement. It is shown also the possibility of direct superluminal transmission of classical information using the gate CNOT

Полная версия публикации

Software represented in the book contains a number of useful and effective receptions of procedural and functional programming in the Mathematica system that extend the system software and allow sometimes much more efficiently and easily to program the program objects for various purposes, first of all, wearing system character. The presented tools are of interest not only as independent tools, but also contain a number of the receptions useful in practical programming in the Mathematica system. The above software rather essentially dilates the Mathematica functionality and can be useful enough for programming of many applications above all of system character. At that, the AVZ_Package package containing more 1420 tools of various purpose with freeware license is attached to the book.- USA: CreateSpace, 2016, 630 p., ISBN 978–1–532–74883–7.

Полная версия публикации

The present book contains over 1420 software etudes not only which are illustrating effective methods of programming in Mathematica system and many subtleties and undocumented opportunities of its software, but also being of undoubted interest as the means expanding and supplementing the system means. In a certain historical context etudes have appeared as a result of development of the number of rather large projects in the Mathematica system connected with the solution of mathematical problems, computer researches of the classical cellular automata, modeling, etc. In the course of programming of these projects the certain software fragments presenting mass character have been formed later on in the kind of the separate procedures and functions that have made the basis of the package attached to the present book. Many etudes presented here contain a rather useful and effective methods of programming in Mathematica system. The presented etudes are smallby the size of program code and can be in case of need rather easily analysed and, perhaps, are modified for specific conditions of application. It must be kept in mind that along with the software having both the applied, and the system character together with illustrating of rather useful methods of programming; the present book represents a rather convenient organization of the user software that supported by a large number of the means for its serving.- USA: Raleigh, NC, Lulu Press, 2017, 613 p., ISBN 978–1–387–3560.

Полная версия публикации

Software represented in the book contains a number of useful and effective receptions of procedural and functional programming in the Mathematica system that extend the system software and allow sometimes much more efficiently and easily to program the program objects for various purposes, first of all, wearing system character. Among them there are means which are of interest from the point of view of including of their or their analogs into standard means of Mathematica, at the same time they use approaches, useful in programming of applications in Mathematica. The above software rather essentially dilates the Mathematica functionality and can be useful enough for programming of many problems above all of system character. At the same time, the MathToolBox package containing more 1420 tools of various purpose with freeware license is attached to the book.- USA: Raleigh, NC, Lulu Press, 2016, 740 p., ISBN 978–1–365–59391–8.

Полная версия публикации

Software tools presented in the book contain a number of rather useful and effective methods of procedural and functional programming in Mathematica system that extend the system software and allow sometimes much more efficiently and easily to program the objects for various purposes first of all wearing system character. The above software tools rather essentially dilate the Mathematica functionality and can be useful enough for programming of many applications above all of system character. Furthermore, the book is provided with freeware package AVZ_Package containing more than 1420 procedures, functions, global variables and other program objects. The present book is oriented on a wide enough range of users of systems of computer mathematics, teachers and students of universities at courses of computer science, mathematics and other natural–science disciplines.- Estonia:Tallinn: TRG Press, 2015, 563 p., ISBN 978–9985–9508–8–3.

Полная версия публикации