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Home / Books / Published Books / Wave-Particles: Suggestions on Field Unification, Dark Matter and Dark Energy
Wave-Particles: Suggestions on Field Unification, Dark Matter and Dark Energy
Alberto Strumia
Published Date:
November, 2016
Science Publishing Group
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Table of Contents
The Whole Book
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Front Matter
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I Wave-Particles
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1 Heuristic Approach
1.1 The Historical Context
1.2 Identifying Wave and Particle Mechanics
1.2.1 First Step – Wave-Front and Particle Motion
1.2.2 Second Step – Interaction of Particles with Fields
1.2.3 Third Step – Non-Vanishing Rest Mass
1.3 Conclusion
2 Wave-Particles in Vn (Synchronous Frame)
2.1 Introduction
2.2 Waves and Particle Dynamics
2.2.1 The Hamilton Equations
2.2.2 De Broglie and Einstein-Planck Relations
2.3 Wave Dynamics and Field Equations
2.3.1 The Lagrangian System
2.3.2 Hamiltonian Density
2.3.3 The Klein-Gordon Equation
2.3.4 The Dirac Equation
2.4 Operators
2.4.1 Correspondence Principle
2.4.2 Uncertainty Principle
2.5 Conclusion
3 Wave-Particles in Vn (Covariant Formulation)
3.1 Introduction
3.2 Waves and Particle Dynamics
3.2.1 Covariant Hamilton Equations
3.2.2 Covariant De Broglie-Einstein-Planck Relation
3.3 Wave Dynamics and Field Equations
3.3.1 The Lagrangian System
3.3.2 The Energy-Momentum Tensor
3.3.3 The Klein-Gordon Equation
3.3.4 The Dirac Equation
3.4 Conclusion
II Field Unification
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4 Kaluza-Klein Theories
4.1 Introduction
4.2 Wave-Particles as Solutions in a Brans-Dicke Theory
5 An Alternative to Kaluza-Klein Theory
5.1 Introduction
5.2 Representations onto the Metric Eigenvectors
5.2.1 Representations of the Metric and Connection
5.2.2 Representation of the Ricci Tensor
5.3 Field Equations
5.3.1 The Lorentz Gauge
5.3.2 The Field Equations in the Lorentz Gauge
5.4 Comments and Conclusion
6 Interaction Fields (Bosons)
6.1 Introduction
6.2 Field Confinement and Massive Wave-Particles
6.2.1 Vanishing of Particle Rest Masses in V4
6.2.2 Particle Masses Arising from Scalar Boson Gauge Fields
6.3 The Fundamental Interaction Fields
6.3.1 The Gravitational Field
6.3.2 The Electro-Weak Interaction Field
6.3.3 The Strong Interaction Field
7 Matter Fields (Fermions)
7.1 Introduction
7.2 Field Extra Components
7.3 Physical Meaning of the Field Extra Components
7.3.1 Dirac Equations Governing Matter Fields
7.3.2 Current Densities
7.4 Conclusion
8 Cosmology and Elementary Particles
8.1 Introduction
8.2 Extension of Robertson-Walker Metric in V4
8.3 The Cosmological Field Equations in V16
8.4 The Energy-Momentum Tensor
8.4.1 Component Representation
8.4.2 Spinor Representation
8.4.3 Geometry Contributions to Dark Matter and Energy
8.5 Geodesics and Particle Charges
9 A Way to Quantum Gravity?
9.1 Introduction
9.2 Quantization of the Fermion Fields
9.3 Energy-Momentum Tensor of Gravitational Field
9.4 Quantization of the Gravitational Field
Back Matter
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Prof. Alberto Strumia, author of this book, is a member of the Istituto Nazionale di Alta Matematica (I.N.D.A.M) “Francesco Severi” – Rome ( and vice director of the Advanced School for the Interdisciplinary Research (, after being full professor of Mathematical Physics at the Dept. of Mathematics at the Universities of Bologna (I) and Bari (I) and associate to the Istituto Nazionale di Fisica Nucleare (I.N.F.N.). He is a physicist with a wide spectrum of research interests spreading from theoretical and mathematical physics to philosophy of science and interdisciplinary topics. He is author of numerous papers and books covering all these subjects. At present he is invited professor of Logics, Philosophy of Science and Philosophy of Nature at the Theological Faculty of Emilia-Romagna of Bologna (I).
This book sketches in detail, in its first part, some possible intriguing suggestions in order to conceive, and deal within a unified scheme, the dual aspects of particle and wave coexisting and conflicting in theoretical physics from the beginning of the 20th century, so opening a door to a deep harmonization of Relativity and Quantum Mechanics. And in the second part it presents a new approach to field unification, including gravity, together with the standard model of elementary particles and scalar boson, within the frame of multidimensional general relativistic universe. Cosmological application of the proposed theory involves non-trivial predictions about the still unexplained universe flatness, dark matter and dark energy. A way to gravity quantization appears also practicable.
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