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 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 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 Intensional First Order Logic written by Zoran Majkic and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-09-05 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the properties of conservative extensions of First Order Logic (FOL) to new Intensional First Order Logic (IFOL). This extension allows for intensional semantics to be used for concepts, thus affording new and more intelligent IT systems. Insofar as it is conservative, it preserves software applications and constitutes a fundamental advance relative to the current RDB databases, Big Data with NewSQL, Constraint databases, P2P systems and Semantic Web applications. Moreover, the many-valued version of IFOL can support the AI applications based on many-valued logics.

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 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 Advances in the Interplay Between Quantum and Gravity Physics written by Peter G. Bergmann and published by Springer Science & Business Media. This book was released on 2002-04-30 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this XVII Course of the International School of Cosmology and Gravitation devoted to "ADVANCES IN THE INTERPLAY BETWEEN QUANTUM AND GRAVITY PHYSICS" we have considered different aspects of the influence of gravity on quantum systems. In order to achieve this aim, in many lectures, seminars and discussions we have strengthened the interplay between gravity and quantum systems starting from the situation in the early universe based on astrophysical observations, up to the earthly based experiments with atom interferometry for probing the structure of space-time. Thus we have had timely lectures on the quantum field and horizon of a black hole including reviews of the problem of black holes thermodynamics and entropy, quantum information, quantum black holes, quantum evaporation and Hawking radiation, recent advances in stockastic gravity. We have also discussed quantum fluctuations in inflationary universe, quantum effects and reheating after inflation, and superplanckian energies in Hawking radiation. In this regard the subject of spinors in purely affine space-time and Dirac matter according to Weyl in the generalized theory of gravitation were developed . The dualism between space-time and matter has been deeply analyzed in order to see why, for general relativity, this is an obstacle for quantization of the theory. Also canonical Gravity and Mach's principle, torsion and curvature as commutator for Quantum Gravity and Dirac Geometry of real space-time were analysed, together with the problem of 5-Dimensional Projective Unified Field theory and Multidimensional Gravity and Cosmology.

Download or read book The Conceptual Completion and Extensions of Quantum Mechanics 1932 1941 Epilogue Aspects of the Further Development of Quantum Theory 1942 1999 written by Jagdish Mehra and published by Springer Science & Business Media. This book was released on 2000 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Progress and Visions in Quantum Theory in View of Gravity written by Felix Finster and published by Springer Nature. This book was released on 2020-04-09 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a critical discussion of the status and prospects of current approaches in quantum mechanics and quantum field theory, in particular concerning gravity. It contains a carefully selected cross-section of lectures and discussions at the seventh conference “Progress and Visions in Quantum Theory in View of Gravity” which took place in fall 2018 at the Max Planck Institute for Mathematics in the Sciences in Leipzig. In contrast to usual proceeding volumes, instead of reporting on the most recent technical results, contributors were asked to discuss visions and new ideas in foundational physics, in particular concerning foundations of quantum field theory. A special focus has been put on the question of which physical principles of quantum (field) theory can be considered fundamental in view of gravity. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Download or read book Flow of Time written by Claus Birkholz and published by BookRix. This book was released on 2014-12-02 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Apply yesterday's variation principle to Gell-Mann's quarks, pepper it with the inconsistencies of unfounded ad-hoc tactics - and there you are with grandpa's classical "Standard" model having no strategy, no future, topped only by "string" fantasies "beyond" physics, with all the great questions left open. By marrying Planck's quanta with Einstein's General Relativity, the author is presenting the unified top-down model of a consistent "New Physics" (Quantum Gravity, including the Grand Unification) free of singularities and in accord with experiment. Space-time is bent, fully quantized and "background-independent". Old problems of fundamental physics emerge as self-explaining: 4-dimensionality, the quark confinement, flavours, cosmic inflation, the arrow of time, the physics of Black Holes with their event horizons, the origins of (ordinary and dark) matter, and much more is dropping out as self-evident properties of nature. Future starts to-day. Come along on the journey! The amazing success of "New Physics"/"Neue Physik" (with almost 10.000 copies sold in a single year) gave rise to this extended, 2nd edition renamed "Flow of Time". Main target groups: Students, physicists, mathematicians, but also people interested in philosophy or with an inclination to leave the beaten dead-end tracks of actual fundamental models of the old style in favour of more promising, novel ways.

Download or read book Quantum Mechanics Versus Local Realism written by F. Selleri and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you have two small objects, one here on Earth and the other on the planet Pluto, what would you say of the following statement: No modification of the properties of the object on the earth can take place as a consequence of an interaction of the distant object with a third body also located on Pluto? The opinion that the previous statement is correct is very natural, but modern quantum theory implies that it must be wrong in certain cases. Consider in fact two arbitrary objects separated by such a large distance that they are unable to exert any important mutual influence. It is possible to show rigorously that a measurable physical quantity exists, with a value more than 40% different from the value theoretically predicted by quantum mechanics. Necessarily then, either space is largely an illusion of our senses and it does not exist objectively, or information can be sent from the future to the past, or ... something important has to be changed in modern physics. This is the essence of the Einstein-Podolsky-Rosen (EPR) paradox. A paradox is an argument that derives absurd conclusions by valid deduction from acceptable premises. In the case of the EPR paradox the absurd conclusion is that Bell's observable d should have two different values d = 2.Ji and The "acceptable premises" are the following: 1. All the empirical predictions of the existing quantum theory are correct.

Download or read book Einstein s Method written by Paul A. Klevgard and published by Paul A. Klevgard. This book was released on 2008-09 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do photons and speeding electrons have both wave features and particle features when common sense tells us that they should be either particle or wave and not an amalgam of both? And why is the velocity of light constant for all observers? These central questions of physics are reexamined in a new approach using an adaptation of an old method. In quantum physics Einstein's chief method of inquiry between 1905 and 1925 involved a comparison of the thermodynamic properties of matter quanta and radiation quanta (photons). In these pages the author seeks to extend that method beyond thermodynamics to see what new insights it can offer us.

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 The Meaning of Quantum Gravity written by Horst-Heino Borzeszkowski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: In discussing the question of whether General Relativity Theory really needs to be quantized, a simply negative answer cannot be accepted, of course. Such an answer is not satisfying because, first, Einstein's gravitational equations connect gravity and non-gravitational matter and because, second, it can be taken for granted that non-gravitational matter has an atomic or quantum structure such that its energy-momentum tensor standing on the right-hand side of Einstein's equations is formed out of quantum operators. These two facts make it impossible to read the left-hand side of Einstein's equations as an ordinary classical function. This does not necessarily mean, however, that we must draw the conclusion that General Relativity Theory, similar to electrodynamics, could or should be quantized in a rigorous manner and that this quantization has similar consequences to quantum electrodynamics. In other words, when for reasons of consistency quantization is tried, then one has to ask whether and where the quantization procedure has a physical meaning, i.e., whether there exist measurable effects of quantum gravity. IQ accordance with these questions, we are mainly dealing with the discus sion of the principles of quantized General Relativity Theory and with the estimation of quantum effects including the question of their measurability. This analysis proves that it is impossible to distinguish between classical and quantum General Relativity Theory for the extreme case of Planck's orders of magnitude. In other words, there does not exist a physically meaningful rigorous quantization conception for Einstein's theory.

Download or read book Beyond the Quantum written by Theo M. Nieuwenhuizen and published by World Scientific. This book was released on 2007 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Already Einstein could never see quantum mechanics as a complete theory. Nowadays, many researchers, including 't Hooft, view quantum mechanics as a statistical description of some underlying reality. The workshop Beyond the Quantum, organized in Spring 2006 at the Lorentz Center in Leiden, The Netherlands, was one of the first meetings completely devoted to physics that may need an explanation beyond quantum mechanics. A broad variety of subjects was covered. The present book reflects this. Sample Chapter(s). Chapter 1: The Mathematical Basis for Deterministic Quantum Mechanics (267 KB). Contents: Introductions: The Mathematical Basis for Deterministic Quantum Mechanics (G 't Hooft); What Did We Learn from Quantum Gravity? (A Ashtekar); BoseOCoEinstein Condensates and EPR Quantum Non-Locality (F Lalo1/2); The Quantum Measurement Process: Lessons from an Exactly Solvable Model (A E Allahverdyan et al.); Quantum Mechanics and Quantum Information: POVMs: A Small but Important Step Beyond Standard Quantum Mechanics (W M de Muynck); State Reduction by Measurements with a Null Result (G Nienhuis); Solving Open Questions in the BoseOCoEinstein Condensation of an Ideal Gas via a Hybrid Mixture of Laser and Statistical Physics (M Kim et al.); Long Distance Correlations and Bell Inequalities: Fair Sampling vs No-Signalling Principle in EPR Experiments (G Adenier & A Yu Khrennikov); Mathematical Foundations: Where the Mathematical Structure of Quantum Mechanics Comes From (G M D'Ariano); Phase Space Description of Quantum Mechanics and Non-Commutative Geometry: Wigner-Moyal and Bohm in a Wider Context (B J Hiley); Quantum Mechanics as Simple Algorithm for Approximation of Classical Integrals (A Yu Khrennikov); Stochastic Electrodynamics: Some Quantum Experiments from the Point of View of Stochastic Electrodynamics (V apicka et al.); Models for the Electron: Rotating Hopf-Kinks: Oscillators in the Sense of de Broglie (U Enz); The Electron and the Neutrino as Solitos in Classical Electromagnetism (Th M Nieuwenhuizen); Philosophical Considerations; Round Table; and other papers. Readership: Postgraduates and researchers in quantum physics."

Download or read book Bell s Theorem and Quantum Realism written by Douglas L. Hemmick and published by Springer Science & Business Media. This book was released on 2011-10-02 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum theory presents a strange picture of the world, offering no real account of physical properties apart from observation. Neils Bohr felt that this reflected a core truth of nature: "There is no quantum world. There is only an abstract mathematical description." Among the most significant developments since Bohr’s day has been the theorem of John S. Bell. It is important to consider whether Bell’s analysis supports such a denial of microrealism. In this book, we evaluate the situation in terms of an early work of Erwin Schrödinger. Doing so, we see how Bell’s theorem is conceptually related to the Conway and Kochen Free Will theorem and also to all the major anti-realism efforts. It is easy to show that none of these analyses imply the impossibility of objective realism. We find that Schrödinger’s work leads to the derivation of a new series of theoretical proofs and potential experiments, each involving “entanglement,” the link between particles in some quantum systems. .