Unification of Classical, Quantum, and Relativistic Mechanics and of the Four Forces

Unification of Classical, Quantum, and Relativistic Mechanics and of the Four Forces

Author: J. X. Zheng-Johansson

Publisher: Nova Publishers

Published: 2006

Total Pages: 266

ISBN-13: 9781594542602

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In this book Drs J X Zheng-Johansson and Per-Ivar Johansson present a remarkable unification scheme. The scheme is based on an analysis of the overall experimental observations available up to today, and an observation of the unsolved problems maintained in contemporary theoretical physics, revisiting past controversies and putting them in context with contemporary physics. The unsolved problems were the agent stimulating the authors to invent a new bold unification scheme. Vacuum polarisation, with a vacuuon (a pair of strongly bound opposite-signed charges) as a free entity, gets you back to the days of the ether concept, abandoned by physics after the Michelson-Morley experiment by the end of the 19:th century. Starting from constructing the fundamental building blocks for the vacuum and material particles, the Newtonian-Maxwellian solutions the authors obtain yield insights into fundamental concepts such as vacuum, charge, and mass. For instance, can vacuum be described by a building block denoted vacuuon, with or without mass depending on pushed into motion or not? Can free charges be described as a mass-less entity? Can and how vacuum polarise? However, even if vacuum in the real Universe never polarises as proposed in this unification scheme, it may yet serve as another tool in the physics toolbox, a theoretical bridge between classical and modern physics. Physics and physical theory is a human invention, a mathematical description of the intrinsic properties of the Universe and its associated phenomena. Our understanding of the Universe is a reaction of our mind, of our way of understanding. Richard Feynman once noted about the Maxwell equations something that goes like: If a mathematical theory in physics cannot be proved by experiments it remains to be proved mathematically. Ultimately, it must be possible to test any new theory by experiments. If experimental tests are not possible we are left with a mere hypothesis based on equations. The unification scheme proposed by this work consists of a Proposition about the fundamental building blocks (ap- and n-vaculeon) and a series of Predictions from Newtonian-Maxwellian solutions based on that Proposition. The arriving at the Proposition and the Predictions, relating to classical, quantum and relativistic mechanics, is their context. The book is a challenge out of the ordinary, a challenge that deserves careful consideration.


Quantum Relativity

Quantum Relativity

Author: David R. Finkelstein

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 584

ISBN-13: 3642609368

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Over the past years the author has developed a quantum language going beyond the concepts used by Bohr and Heisenberg. The simple formal algebraic language is designed to be consistent with quantum theory. It differs from natural languages in its epistemology, modal structure, logical connections, and copulatives. Starting from ideas of John von Neumann and in part also as a response to his fundamental work, the author bases his approach on what one really observes when studying quantum processes. This way the new language can be seen as a clue to a deeper understanding of the concepts of quantum physics, at the same time avoiding those paradoxes which arise when using natural languages. The work is organized didactically: The reader learns in fairly concrete form about the language and its structure as well as about its use for physics.


Theoretical Foundations of Nanoscale Quantum Devices

Theoretical Foundations of Nanoscale Quantum Devices

Author: Malin Premaratne

Publisher: Cambridge University Press

Published: 2021-01-07

Total Pages: 299

ISBN-13: 1108639364

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Nanooptics which describes the interaction of light with matter at the nanoscale, is a topic of great fundamental interest to physicists and engineers and allows the direct observation of quantum mechanical phenomena in action. This self-contained and extensively referenced text describes the underlying theory behind nanodevices operating in the quantum regime for use both in advanced courses and as a reference for researchers in physics, chemistry, electrical engineering, and materials science. Presenting an extensive theoretical toolset for design and analysis of nanodevices, the authors demonstrate the art of developing approximate quantum models of real nanodevices. The rudimentary mathematical knowledge required to master the material is carefully introduced, with detailed derivations and frequent worked examples allowing readers to gain a thorough understanding of the material. More advanced applications are gradually introduced alongside analytical approximations and simplifying assumptions often used to make such problems tractable while representative of the observed features.


New Topics in Theoretical Physics

New Topics in Theoretical Physics

Author: Henk F. Arnoldus

Publisher: Nova Publishers

Published: 2007

Total Pages: 100

ISBN-13: 9781600213557

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Although the various branches of physics differ in their experimental methods and theoretical approaches, certain general principles apply to all of them. The forefront of contemporary advances in physics lies in the submicroscopic regime, whether it be in atomic, nuclear, condensed-matter, plasma, or particle physics, or in quantum optics, or even in the study of stellar structure. All are based upon quantum theory (i.e: quantum mechanics and quantum field theory) and relativity, which together form the theoretical foundations of modern physics. Many physical quantities whose classical counterparts vary continuously over a range of possible values are in quantum theory constrained to have discontinuous, or discrete, values. The intrinsically deterministic character of classical physics is replaced in quantum theory by intrinsic uncertainty. According to quantum theory, electromagnetic radiation does not always consist of continuous waves; instead it must be viewed under some circumstances as a collection of particle-like photons, the energy and momentum of each being directly proportional to its frequency (or inversely proportional to its wavelength, the photons still possessing some wavelike characteristics). This book presents state-of-the-art research from around the world.


Progress in Physics, vol. 3/2006

Progress in Physics, vol. 3/2006

Author: Dmitri Rabounski Larissa Borissova

Publisher: Infinite Study

Published:

Total Pages: 95

ISBN-13:

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Progress in Physics has been created for publications on advanced studies in theoretical and experimental physics, including related themes from mathematics.


Relativistic Quantum Mechanics and Field Theory

Relativistic Quantum Mechanics and Field Theory

Author: Franz Gross

Publisher: John Wiley & Sons

Published: 2008-07-11

Total Pages: 643

ISBN-13: 3527617345

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An accessible, comprehensive reference to modern quantum mechanics and field theory. In surveying available books on advanced quantum mechanics and field theory, Franz Gross determined that while established books were outdated, newer titles tended to focus on recent developments and disregard the basics. Relativistic Quantum Mechanics and Field Theory fills this striking gap in the field. With a strong emphasis on applications to practical problems as well as calculations, Dr. Gross provides complete, up-to-date coverage of both elementary and advanced topics essential for a well-rounded understanding of the field. Developing the material at a level accessible even to newcomers to quantum mechanics, the book begins with topics that every physicist should know-quantization of the electromagnetic field, relativistic one body wave equations, and the theoretical explanation of atomic decay. Subsequent chapters prepare readers for advanced work, covering such major topics as gauge theories, path integral techniques, spontaneous symmetry breaking, and an introduction to QCD, chiral symmetry, and the Standard Model. A special chapter is devoted to relativistic bound state wave equations-an important topic that is often overlooked in other books. Clear and concise throughout, Relativistic Quantum Mechanics and Field Theory boasts examples from atomic and nuclear physics as well as particle physics, and includes appendices with background material. It is an essential reference for anyone working in quantum mechanics today.


Special relativity

Special relativity

Author: Skalkaz

Publisher: Skalkaz

Published:

Total Pages: 6

ISBN-13:

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Shortest and cleanest deduction of Einstein's nicest theory.


Geometric Mechanics

Geometric Mechanics

Author: Richard Talman

Publisher: John Wiley & Sons

Published: 2007-09-24

Total Pages: 605

ISBN-13: 352761141X

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For physicists, mechanics is quite obviously geometric, yet the classical approach typically emphasizes abstract, mathematical formalism. Setting out to make mechanics both accessible and interesting for non-mathematicians, Richard Talman uses geometric methods to reveal qualitative aspects of the theory. He introduces concepts from differential geometry, differential forms, and tensor analysis, then applies them to areas of classical mechanics as well as other areas of physics, including optics, crystal diffraction, electromagnetism, relativity, and quantum mechanics. For easy reference, the author treats Lagrangian, Hamiltonian, and Newtonian mechanics separately -- exploring their geometric structure through vector fields, symplectic geometry, and gauge invariance respectively. Practical perturbative methods of approximation are also developed. This second, fully revised edition has been expanded to include new chapters on electromagnetic theory, general relativity, and string theory. 'Geometric Mechanics' features illustrative examples and assumes only basic knowledge of Lagrangian mechanics.


Symmetry And Complexity: The Spirit And Beauty Of Nonlinear Science

Symmetry And Complexity: The Spirit And Beauty Of Nonlinear Science

Author: Klaus Mainzer

Publisher: World Scientific

Published: 2005-06-10

Total Pages: 448

ISBN-13: 9814480819

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Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.


Principles of Quantum Mechanics

Principles of Quantum Mechanics

Author: R. Shankar

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 676

ISBN-13: 147570576X

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R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.