Quantum Theory from a Nonlinear Perspective, Dieter Schuch
Автор: Dieter Schuch Название: Quantum Theory from a Nonlinear Perspective ISBN: 3319655922 ISBN-13(EAN): 9783319655925 Издательство: Springer Рейтинг: Цена: 13555.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities.
Описание: Contains numerous results in 1-dimensional cellular automata. This title states that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration.
Описание: This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.e. after the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables. As befitting the contents aimed at school children, it was found pedagogically appealing to code each truth table by coloring each of the 8 vertices of a cubical graph in red (for binary state 1), or blue (for binary state 0), forming a toy universe of 256 Boolean cubes, each bearing a different vertex color combination.The corresponding collection of 256 distinct Boolean cubes are then segegrated logically into 6 distinct groups where members from each group share certain common dynamics which allow the long-term evolution of the color configuration of each bit string, of arbitrary length, to be predicted painlessly, via a toy-like gaming procedure, without involving any calculation. In particular, the evolution of any bit string bearing any initial color configuration which resides in any one of the possibly many distinct attractors, can be systematically predicted, by school children who are yet to learn arithmetic, via a simple recipe, for any Boolean cube belonging to group 1, 2, 3, or 4. The simple recipe for predicting the time-asymptotic behaviors of Boolean cubes belonging to groups 1, 2, and 3 has been covered in Vols. I, II, ..., V.This final volume continues the recipe for each of the 108, out of 256, local rules, dubbed the Bernoulli rules, belonging to group 4. Here, for almost half of the toy universe, surprisingly simple recipes involving only the following three pieces of information are derived in Vol. VI; namely, a positive integer ?, a positive, or negative, integer ?, and a sign parameter ? > 0, or ? 0 (resp. ? < 0), and then change the color of each cell if ? < 0.As in the five prior volumes, Vol. VI also contains simple recipes which are, in fact, general and original results from the abstract theory of 1-dimensional cellular automata. Indeed, both children and experts from cellular automata will find this volume to be as deep, refreshing, and entertaining, as the previous volumes.
Автор: Karen Yeats Название: A Combinatorial Perspective on Quantum Field Theory ISBN: 3319475509 ISBN-13(EAN): 9783319475509 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field theory. Among the outcomes are both physical insights and interesting mathematics.The book begins by thinking of perturbative expansions as kinds of generating functions and then introduces renormalization Hopf algebras. The remainder is broken into two parts. The first part looks at Dyson-Schwinger equations, stepping gradually from the purely combinatorial to the more physical. The second part looks at Feynman graphs and their periods.The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians.
Описание: Presents an exposition of quantum mechanics. This book shows that `realism (the belief that the outside world exists from its own side` regardless of acts of consciousness) and locality (the belief that nothing moves faster than light) are invalid, and should be replaced by a paradigm according to which the universe is alive.
Описание: Presents an exposition of quantum mechanics. This book shows that `realism (the belief that the outside world exists from its own side` regardless of acts of consciousness) and locality (the belief that nothing moves faster than light) are invalid, and should be replaced by a paradigm according to which the universe is alive.
Автор: Paulo Vargas Moniz Название: Quantum Cosmology - The Supersymmetric Perspective - Vol. 2 ISBN: 3642115691 ISBN-13(EAN): 9783642115691 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The two volumes that comprise Quantum Cosmology tackle the quantum description of the early universe from the perspective of supersymmetric models of elementary particle physics. This second volume is dedicated to more advanced topics.
Автор: Paulo Vargas Moniz Название: Quantum Cosmology - The Supersymmetric Perspective - Vol. 1 ISBN: 3642115748 ISBN-13(EAN): 9783642115745 Издательство: Springer Рейтинг: Цена: 9776.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This 2-volume reference tackles the quantum description of the early universe from the perspective of supersymmetric models of elementary particle physics. Volume I covers basics, discussing concepts that form our knowledge of supersymmetry and supergravity.
Автор: C?cile Dewitt-Morette; Jean-Bernard Zuber Название: Quantum Field Theory: Perspective and Prospective ISBN: 0792356721 ISBN-13(EAN): 9780792356721 Издательство: Springer Рейтинг: Цена: 31305.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for those researchers who are challenged by modern quantum field theory. This book features players in quantum field theory and its many impacts who assess developments in their field of interest and provide guidance to young researchers challenged by these developments, but overwhelmed by their complexities.
Автор: C?cile Dewitt-Morette; Jean-Bernard Zuber Название: Quantum Field Theory: Perspective and Prospective ISBN: 079235673X ISBN-13(EAN): 9780792356738 Издательство: Springer Рейтинг: Цена: 21661.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for those researchers who are challenged by modern quantum field theory. This book features players in quantum field theory and its many impacts who assess developments in their field of interest and provide guidance to young researchers challenged by these developments, but overwhelmed by their complexities.
This volume offers a fundamentally different way of conceptualizing time and reality. Today, we see time predominantly as the linear-sequential order of events, and reality accordingly as consisting of facts that can be ordered along sequential time. But what if this conceptualization has us mistaking the "exhausts" for the "real thing", i.e. if we miss the best, the actual taking place of reality as it occurs in a very differently structured, primordial form of time, the time-space of the present?
In this new conceptual framework, both the sequential aspect of time and the factual aspect of reality are emergent phenomena that come into being only after reality has actually taken place. In the new view, facts are just the "traces" that the actual taking place of reality leaves behind on the co-emergent "canvas'' of local spacetime. Local spacetime itself emerges only as facts come into being - and only facts can be adequately localized in it.
But, how does reality then actually occur? It is conceived as a "constellatory self-unfolding", characterized by strong self-referentiality, and taking place in the primordial form of time, the not yet sequentially structured "time-space of the present". Time is seen here as an ontophainetic platform, i.e. as the stage on which reality can first occur. This view of time (and, thus, also space) seems to be very much in accordance with what we encounter in quantum physics before the so-called collapse of the wave function. In parallel, classical and relativistic physics largely operate within the factual portrait of reality, and the sequential aspect of time, respectively. Only singularities constitute an important exemption: here the canvas of local spacetime - that emerged together with factization - melts down again.
In the novel framework quantum reduction and singularities can be seen and addressed as inverse transitions: In quantum physical state reduction reality "gains" the chrono-ontological format of facticity, and the sequential aspect of time becomes applicable. In singularities, by contrast, the inverse happens: Reality loses its local spacetime formation and reverts back into its primordial, pre-local shape - making in this way the use of causality relations, Boolean logic and the dichotomization of subject and object obsolete.
For our understanding of the relation between quantum and relativistic physics this new view opens up fundamentally new perspectives: Both are legitimate views of time and reality, they just address very different chrono-ontological portraits, and thus should not lead us to erroneously subjugating one view under the other.
The task of the book is to provide a formal framework in which this radically different view of time and reality can be addressed properly. The mathematical approach is based on the logical and topological features of the Borromean Rings. It draws upon concepts and methods of algebraic and geometric topology - especially the theory of sheaves and links, group theory, logic and information theory, in relation to the standard constructions employed in quantum mechanics and general relativity, shedding new light on the pestilential problems of their compatibility. The intended audience includes physicists, mathematicians and philosophers with an interest in the conceptual and mathematical foundations of modern physics.
Описание: The series provides a forum for innovative, high-quality work in all fields of analytical philosophy. The volumes in this series are published in either English or German.
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