Completion and unification of quantum mechanics with Einstein's GR ideas
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書誌事項
Completion and unification of quantum mechanics with Einstein's GR ideas
（Classical and quantum mechanics series）
Nova Science Publishers, c2017
- Pt. 1: Completion of QM
- Pt. 2: Unification with GR
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Pt. 1: Completion of QMP1.4:M:53.1110077826,
Pt. 2: Unification with GRP1.4:M:53.2110077827 -
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内容説明・目次
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Pt. 1: Completion of QM ISBN 9781536119466
内容説明
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.
目次
- Preface
- Time-space Perturbations & Wave-packets
- Conservative Extension of the Quantum Mechanics
- Quantum Field Theory (QFT)
- Interactions: Gauge Fields, External Forces & Boundary Conditions
- Appendix of PART I
- Index.
- 巻冊次
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Pt. 2: Unification with GR ISBN 9781536119473
内容説明
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.
目次
- Preface
- General Relativity & Quantum Mechanics
- Higher-dimensional Spaces: Charge & Spin
- Generalized Vector Kets, New Quantum Superpositions, ERP Paradox & Conclusions
- Appendix of PART II
- Index.
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