Download or read book Completion and Unification of Quantum Mechanics with Einstein s GR Ideas written by Zoran Majkić and published by . This book was released on 2017 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Completion and Unification of Quantum Mechanics with Einstein s GR Ideas written by Zoran Majkić and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique manuscript presents a novel approach to QM by modelling an elementary particle via 3D matter/energy density, which propagates in the open time-space continuum as a rest mass energy density wave packet. This simple idea is based on the fact that any macroscopic object of mass M that occupies a finite 3D volume V can be represented by an energy-density contained in V, so that the integration of this energy-density over V provides the total energy E = Mc^2 . This new theory is fully integrated with the theory of relativity, and completes the quantum theory of Einstein by overcoming the Copenhagen interpretation. The newly introduced partial differential equations describe the relativistic phenomena and, generally, the dependence of a particle's geometrical form (its internal matter distribution) on its velocity and acceleration. A number of well-known physical principles are obtained as derived results of this theory, and are consolidated by a number of detailed examples. Part I, which is dedicated to the completion of QM, is composed of five Chapters. In the first two chapters, the nucleus is analysed in terms of the material discussed. Chapter Three is dedicated to the development of the Lagrangian density for the complex wave packets of the rest mass energy density of an elementary particle, and to the new quantum field theory. The authors obtained the set of new non-Hamiltonian TSPF quantum operators, parameterised by the vector velocity field of energy density with corresponding Hilbert spaces for accelerated particles, and these were valid in any (infinitesimal) local Minkowski time-space. The main results are the new differential equations obtained as conservation laws for Noether currents and Euler-Lagrange equations, which express the exact form of the complex terms used in the differential equations in Chapters One and Two, and introduce the most useful concept of the velocity for any infinitesimal amount of the energy density flux of a particle (the hidden variables). In Chapter Four, a gauge theory and a new explanation of the mass gap conjecture in Yang-Mils theory and of the Higgs mechanism without necessity of the new Higgs field and its bosons, along with a new explanation of double-slit experiments are presented. Thus, the authors obtained a conservative extension of current probabilistic/statistic QM valid for an ensemble of particles, each individual particle, and which is deterministic and compatible by classical mechanics.
Download or read book Completion and Unification of Quantum Mechanics with Einstein s GR Ideas Completion of QM written by Zoran Majkíc and published by . This book was released on 2017 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique manuscript presents a novel approach to QM by modeling an elementary particle via 3D matter/energy density, which propagates in the open time-space continuum as a rest mass energy density wave packet. This simple idea is based on the fact that any macroscopic object of mass M that occupies a finite 3D volume V can be represented by an energy-density contained in V, so that the integration of this energy-density over V provides the total energy E = Mc^2 . This new theory is fully integrated with the theory of relativity, and completes the quantum theory of Einstein by overcoming the Copenhagen interpretation. The newly introduced partial differential equations describe the relativistic phenomena and, generally, the dependence of a particle's geometrical form (its internal matter distribution) on its velocity and acceleration. A number of well-known physical principles are obtained as derived results of this theory, and are consolidated by a number of detailed examples.Part I, which is dedicated to the completion of QM, is composed of five Chapters. In the first two chapters, the nucleus is analyzed in terms of the material discussed. Chapter Three is dedicated to the development of the Lagrangian density for the complex wave packets of the rest mass energy density of an elementary particle, and to the new quantum field theory. The authors obtained the set of new non-Hamiltonian TSPF quantum operators, parameterized by the vector velocity field of energy density with corresponding Hilbert spaces for accelerated particles, and these were valid in any (infinitesimal) local Minkowski time-space. The main results are the new differential equations obtained as conservation laws for Noether currents and Euler-Lagrange equations, which express the exact form of the complex terms used in the differential equations in Chapters One and Two, and introduce the most useful concept of the velocity for any infinitesimal amount of the energy density flux of a particle (the hidden variables).In Chapter Four, a gauge theory and a new explanation of the mass gap conjecture in Yang-Mils theory and of the Higgs mechanism without necessity of the new Higgs field and its bosons, along with a new explanation of double-slit experiments are presented. Thus, the authors obtained a conservative extension of current probabilistic/statistic QM valid for an ensemble of particles, each individual particle, and which is deterministic and compatible by classical mechanics.
Download or read book Completion and Unification of Quantum Mechanics with Einstein s GR Ideas PART III Advances Revisions and Conclusions written by Zoran Majkic and published by . This book was released on 2020-04-15 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics, based on the Schrödinger equation (and its relativistic Dirac's extension) is a statistical theory, here denominated as Statistical Quantum Mechanics (SQM), to differentiate it from the new part of the quantum theory, provided in PART I and II, denominated Individual-particles Quantum Mechanics (IQM). Both of them are necessary components of the quantum theory, as are the Classical Mechanics for Individual objects (ICM), based on the Newton equations, Hamiltonian-Jacobi equations or the Euler-Lagrange equation of motion of individual objects, and the Statistical Classical Mechanics (SCM) based on the Liouville equations. The SQM tells us the various possible outcomes of experiments and the corresponding probabilities if we would do a large number of identical experiments on individual quantum systems. The SQM systems are not all identical but this is the same type of fluctuation that occurs in classical statistical descriptions in SCM. At first sight the situation may not appear very different therefore from the description provided by classical statistical mechanics. In that case however, we have an underlying description (ICM) that provides a complete (i.e. non-statistical) description of the world, which in general is far too complex, however, to be of use.The last PART III of this trilogy is dedicated to the completion of the whole theoretical mechanics, both classical and quantum inside a 9-D time-space manifold of the Universe. Only in this final third volume, this IQM theory, dedicated in the first two volumes only to the elementary particles, is extended also to the non-elementary particles (like hadrons, nucleus, atoms, molecules, and all every-day objects in our common life, up to the biggest non-elementary particles, like the planets, stars, etc.) in our unique Universe.So, each object in our Universe, from the smallest (elementary) to the biggest, can be mathematically expressed by the same mathematical 9-D complex field expression, in a unifying way at which the physical determinism holds for the individual objects at all micro-macro scales in our Universe.
Download or read book Unification with Gr written by Zoran Majkić and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proposed completion of QM theory, with the new non-probabilistic equations and a new mathematical basis for the deterministic quantum mechanics is presented here as a conservative extension of the Standard QM by 3-dimensional (of rest mass energy density) elementary particles. This theory can reshape our view of the quantum world, allowing us to include also classical gravity and to answer some of the deep unresolved questions at the heart of quantum mechanics. This new theory of particles is a constructive approach, alternative to the string theory. Thus, it avoids the infinitary problems of the inverse square for gravitational and electric forces, and may be used as a formal basis for Einsteins unification theory. This second volume is the continuation of Part I and is dedicated to its unification with General Relativity (GR) and with higher dimensions used for the particles properties, such as electrical charge, spin, colours, etc. In Chapter One, after a brief presentation of the main results obtained in Part I, the concepts of GR theory, tensors, and differential pseudo-Rimannian 4-dimensional time-space manifolds are gradually introduced sufficiently for a self-contained presentation and derivation of these new covariant equations. Then, the unification of this newly completed deterministic QM with the GR theory is provided . Chapter Two introduces and examines the extremely small, compacted higher dimensions in order to integrate the charge and spin properties of the elementary particles in a complete quantum physics theory for elementary particles. Chapter Three considers the higher dimensional wave packets of the particles and their reduction to the 4-dimensional time-space, and particles vector kets in the higher-dimensional manifold framework. These are composed of Minkowski time-space and new small, compacted dimensions: a spacelike extra dimension for the quantised spin vectors of the particles and time-like extra dimensions for the quantised charges. After that important properties of this QM theory are considered, the new quantum superposition for the states of a number of individual particles and ERP paradox (entanglement) are discussed.
Download or read book Principles of Quantum General Relativity written by Eduard Prugove?ki and published by World Scientific. This book was released on 1995 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explains and analyzes the principles of a quantum-geometric framework for the unification of general relativity and quantum theory. By taking advantage of recent advances in areas like fibre and superfibre bundle theory, Krein spaces, gauge fields and groups, coherent states, etc., these principles can be consistently incorporated into a framework that can justifiably be said to provide the foundations for a quantum extrapolation of general relativity. This volume aims to present this approach in a way which places as much emphasis on fundamental physical ideas as on their precise mathematical implementation. References are also made to the ideas of Einstein, Bohr, Born, Dirac, Heisenberg and others, in order to set the work presented here in an appropriate historical context.
Download or read book Einstein s Struggles with Quantum Theory written by Dipankar Home and published by Springer Science & Business Media. This book was released on 2007-11-13 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of all aspects of Einstein’s achievements in quantum theory, his own views, and the progress his work has stimulated since his death. While some chapters use mathematics at an undergraduate physics level, a path is provided for the reader more concerned with ideas than equations, and the book will benefit to anybody interested in Einstein and his approach to the quantum.
Download or read book Einstein s Unfinished Revolution written by Lee Smolin and published by Penguin. This book was released on 2019-04-09 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A daring new vision of quantum theory from one of the leading minds of contemporary physics Quantum physics is the golden child of modern science. It is the basis of our understanding of atoms, radiation, and so much else, from elementary particles and basic forces to the behavior of materials. But for a century it has also been the problem child of science: it has been plagued by intense disagreements between its inventors, strange paradoxes, and implications that seem like the stuff of fantasy. Whether it's Schrödinger's cat--a creature that is simultaneously dead and alive--or a belief that the world does not exist independently of our observations of it, quantum theory challenges our fundamental assumptions about reality. In Einstein's Unfinished Revolution, theoretical physicist Lee Smolin provocatively argues that the problems which have bedeviled quantum physics since its inception are unsolved and unsolvable, for the simple reason that the theory is incomplete. There is more to quantum physics, waiting to be discovered. Our task--if we are to have simple answers to our simple questions about the universe we live in--must be to go beyond quantum mechanics to a description of the world on an atomic scale that makes sense. In this vibrant and accessible book, Smolin takes us on a journey through the basics of quantum physics, introducing the stories of the experiments and figures that have transformed our understanding of the universe, before wrestling with the puzzles and conundrums that the quantum world presents. Along the way, he illuminates the existing theories that might solve these problems, guiding us towards a vision of the quantum that embraces common sense realism. If we are to have any hope of completing the revolution that Einstein began nearly a century ago, we must go beyond quantum mechanics to find a theory that will give us a complete description of nature. In Einstein's Unfinished Revolution, Lee Smolin brings us a step closer to resolving one of the greatest scientific controversies of our age.
Download or read book Quantum Relativity written by David R. Finkelstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book 100 Years of Gravity and Accelerated Frames written by Jong-Ping Hsu and published by World Scientific. This book was released on 2005 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers presents ideas and problems arising over the past 100 years regarding classical and quantum gravity, gauge theories of gravity, and spacetime transformations of accelerated frames. Both Einstein''s theory of gravity and the YangOCoMills theory are gauge invariant. The invariance principles in physics have transcended both kinetic and dynamic properties and are at the very heart of our understanding of the physical world. In this spirit, this book attempts to survey the development of various formulations for gravitational and YangOCoMills fields and spacetime transformations of accelerated frames, and to reveal their associated problems and limitations. The aim is to present some of the leading ideas and problems discussed by physicists and mathematicians. We highlight three aspects: formulations of gravity as a YangOCoMills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; spacetime properties and the physics of fields and particles in accelerated frames of reference. These unfulfilled aspects of Einstein and YangOCoMills'' profound thoughts present a great challenge to physicists and mathematicians in the 21st century."
Download or read book Category Theory written by Zoran Majkic and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-03-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes the generation of the arrow-categories of a given category, which is a foundational and distinguishable Category Theory phenomena, in analogy to the foundational role of sets in the traditional set-based Mathematics, for defi nition of natural numbers as well. This inductive transformation of a category into the infinite hierarchy of the arrowcategories is extended to the functors and natural transformations. The author considers invariant categorial properties (the symmetries) under such inductive transformations. The book focuses in particular on Global symmetry (invariance of adjunctions) and Internal symmetries between arrows and objects in a category (in analogy to Field Theories like Quantum Mechanics and General Relativity). The second part of the book is dedicated to more advanced applications of Internal symmetry to Computer Science: for Intuitionistic Logic, Untyped Lambda Calculus with Fixpoint Operators, Labeled Transition Systems in Process Algebras and Modal logics as well as Data Integration Theory.
Download or read book Topics On Quantum Gravity And Beyond Essays In Honor Of Louis Witten On His Retirement written by Freydoon Mansouri and published by World Scientific. This book was released on 1993-05-31 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This festschrift was conceived in connection with the symposium 'Topics on Quantum Gravity and Beyond,' held in honor of Louis Witten. The majority of the essays deal with problems on the frontiers of quantum gravity and string theories. There are also articles on atomic, nuclear, and particle physics, to name a few.
Download or read book 100 Years of Relativity written by Abhay Ashtekar and published by World Scientific. This book was released on 2005 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thanks to Einstein''s relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century. Contributions here include summaries of radical changes in the notions of space and time that are emerging from quantum field theory in curved space-times (Ford), string theory (T Banks), loop quantum gravity (A Ashtekar), quantum cosmology (M Bojowald), discrete approaches (Dowker, Gambini and Pullin) and twistor theory (R Penrose).
Download or read book Selected Topics in Applications of Quantum Mechanics written by Mohammad Reza Pahlavani and published by BoD – Books on Demand. This book was released on 2015-05-13 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two sections. The section Selected Topics in Applications of Quantum Mechanics provides seven chapters about different applications of quantum mechanics in science and technology. The section Selected Topics in Foundations of Quantum Mechanics provides seven chapters about the foundations of quantum mechanics. This book is written by a community of expert scientists from different research institutes and universities from all over the world. Without a doubt, quantum mechanics is the greatest discovery of the 20th century. Therefore, its history and foundations are of great interest to scientists and students. This book covers some of the applications of quantum mechanics in nuclear physics, medical science, information technology, atomic physics and material science, as well as selected topics of quantum mechanics through different bases and ideas about quantum mechanics. The basic idea of the publication of this book is to make scientists and researchers, as well as graduate students, familiar with the foundations of quantum mechanics.
Download or read book Einstein Physics and Reality written by Jagdish Mehra and published by World Scientific. This book was released on 1999 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Albert Einstein was one of the principal founders of the quantum and relativity theories. Until 1925, when Bose-Einstein statistics was discovered, he made great contributions to the foundations of quantum theory. However, after the discovery of quantum mechanics by Heisenberg and wave mechanics by Schrodinger, with the consequent development of the principles of uncertainty and complementarity, it would seem that Einstein's views completely changed. In his theory of the Brownian motion, Einstein had invoked the theory of probability to establish the reality of atoms and molecules; but, in 1916-17, when he wished to predict the exact instant when an atom would radiate -- and developed his theory of the A and B coefficients -- "a statistical residue remained," which he did not quite have the courage of his convictions to accept, as he told his friend Max Born. However, he wrote later to Born that quantum mechanics "is certainly imposing," but "an inner voice tells me that it is not the real thing ... It does,not bring us closer to the secret of the 'Old One'. I, at any rate, am convinced that He is not playing at dice." At the 1927 and 1930 Solvay Conferences on Physics in Brussels, Einstein engaged in profound discussions with Niels Bohr and others about his conviction regarding classical determinism versus the statistical causality of quantum mechanics. To the end of his life he retained his belief in a deterministic philosophy. This highly interesting book explores Einstein's views on the nature and structure of physics and reality.
Download or read book The Evolution of Physics written by Einstein and published by Cambridge University Press. This book was released on 1971-11-30 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Beyond Einstein written by Michio Kaku and published by OUP Oxford. This book was released on 1997 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is superstring theory and why is it important? Can superstrings offer the fulfilment of Einstein's lifelong dream of a Theory of Everything? Co-authored by one of the leading pioneers in superstrings, this book approaches these scientific questions, looking at the scientific research.
