13161nam 22007215 450 991084185660332120240305163310.0978303148777410.1007/978-3-031-48777-4(CKB)30597547700041(MiAaPQ)EBC31201000(Au-PeEL)EBL31201000(DE-He213)978-3-031-48777-4(EXLCZ)993059754770004120240226d2024 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierOn the Wave Nature of Matter A New Approach to Reconciling Quantum Mechanics and Relativity /by Donald C. Chang1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (341 pages)9783031487767 Includes bibliographical references and index.Intro -- Preface -- Contents -- 1 Introduction: The Particle World Versus the Wave World -- 1.1 The Current Quantum Theory is a Particle Theory -- 1.2 What is the Problem with the Current View of Quantum Physics? Why Do We Need a Paradigm Shift? -- 1.2.1 Lack of Understanding on the Physical Basis of Quantum Mechanics -- 1.2.2 Fundamental Conflict Between Quantum Mechanics and Relativity -- 1.2.3 Important Questions that the Current Quantum Theory Cannot Resolve -- 1.2.4 The Particle Physics Establishment Had Given up Hopes to Resolve the Fundamental Issues -- 1.3 The Basic Idea of the Quantum Wave Model -- 1.3.1 Justification for the Hypotheses of the Quantum Wave Model -- 1.4 How Can the Quantum Wave Model Help to Resolve the Problems Encountered in the Current Quantum Theory? -- References -- Part I The Physical Basis of Wave-Particle Duality -- 2 The Birth of Quantum Mechanics: Arriving of the Photon Concept -- 2.1 Is Light a Wave or a Particle? How Do We Know that Light is a Wave? -- 2.1.1 The Double-Slit Experiment -- 2.1.2 The Bragg Diffraction Experiment -- 2.1.3 Maxwell and Hertz Showed that Light is a Kind of Electromagnetic Wave -- 2.2 The Discovery of Light Wave Behaving like a Particle -- 2.2.1 Quantization of Light -- 2.3 How Did Planck Derive the Planck's Relation? -- 2.4 Further Evidence Supporting the Idea of Photon -- 2.4.1 The Photo-Electric Effect -- 2.4.2 The Compton Scattering -- 2.5 Chapter Summary -- References -- 3 Derivation of the Planck's Relation, the de Broglie Relation, and Heisenberg's Uncertainty Principle Based on the Maxwell Theory -- 3.1 Why is Light Quantized? What is the Physical Meaning of the Planck's Constant? -- 3.1.1 Planck Was not Satisfied with His Original Derivation -- 3.2 Derivation of the Planck's Relation Based on the Maxwell Theory -- 3.2.1 Energy and Momentum of the Electromagnetic Wave.3.3 Calculating the Energy Contained Within a Wave Packet Based on Fourier Transform -- 3.3.1 Determination of the Planck's Constant -- 3.4 Derivation of the de Broglie Relation: Total Momentum Carried in a Wave Packet -- 3.5 Derivation of Heisenberg's Uncertainty Principle -- 3.6 The Principle of All-Or-None: Physical Meaning of the Planck's Constant as Derived from the Maxwell Theory -- 3.7 Chapter Summary -- References -- 4 The Merging of the Particle and Wave Concepts: Evidence Suggesting that the Sub-atomic Particle is a Quantized Excitation Wave -- 4.1 The Discovery of Massive Particle Behaving Like a Wave -- 4.1.1 The Revolutionary Idea of de Broglie -- 4.1.2 Confirmation of the de Broglie Relation Using Bragg's Diffraction Experiments -- 4.1.3 Double-Slit Experiment for a Single Electron -- 4.2 How to Explain Wave-Particle Duality? The Statistical Interpretation of the Copenhagen School -- 4.2.1 Debates on the Probabilistic Interpretations -- 4.3 Evidence Suggesting that the Electron is a Physical Wave -- 4.3.1 Why Do We Think Elementary Particles Are Waves? -- 4.4 Hints from the Collider Experiments: How Can Particles Be Created from Nowhere? -- 4.5 The Idea of Solitons -- 4.6 Chapter Summary -- References -- Part II Wave Excitation in the Vacuum: What are the Physical Properties of Matter Wave? -- 5 The Mechanism of Wave Excitation and the Physical Nature of the Vacuum Medium -- 5.1 Useful Analogy: Wave Propagation in a Classical Mechanical System -- 5.1.1 Wave in a Harmonic Oscillator -- 5.1.2 Wave Propagation in a One-Dimensional String -- 5.2 Wave Propagation in a 3-Dimensional Elastic Solid -- 5.2.1 Application of the Helmholtz Decomposition Theorem on the Wave Motion of an Elastic Solid -- 5.3 Mechanism of Wave Excitation in the Vacuum Medium -- 5.3.1 How does Wave Propagate in the Vacuum?.5.4 What is the Physical Nature of the Vacuum? The Aether Hypothesis -- 5.5 Evidence Indicating that the Vacuum is Not an Empty Space -- 5.6 Chapter Summary -- References -- 6 The Vacuum is a Dielectric Medium According to the Maxwell Theory -- Its Basic Field is the Electric Vector Potential Z -- 6.1 Physical Nature of the Vacuum: Implications from the Maxwell Theory -- 6.1.1 Implication of Maxwell's Introduction of the Electric Displacement Concept -- 6.1.2 Maxwell's Theory of Light Propagation Implied That the Vacuum is a Dielectric Medium -- 6.2 Structure of the Vacuum Medium According to Maxwell's Hypothesis -- 6.3 What is the Basic Field of the Vacuum Excitation Wave? -- 6.3.1 What is Its Basic Field of the Photon? -- 6.3.2 Origin of the Concept of Vector Potential: The Theorem of Helmholtz Decomposition -- 6.4 The Excitation Wave of the Vacuum is Characterized by the Variation of the Electric Vector Potential Z -- 6.4.1 Mechanism of Wave Propagation in the Vacuum as Driven by Z -- 6.5 Comparison Between Wave Excitations in the Mechanical System and the Vacuum Medium -- 6.6 Chapter Summary -- References -- Part III Derivation of the Quantum Wave Equations and the Physical Meaning of the Quantum Wave Function -- 7 Derivation of the Quantum Wave Equations Based on Wave Excitation in the Vacuum -- 7.1 The Wave Equation of the Quantum Vacuum -- 7.1.1 Identifying Z as the Wave Function of the Excitation Wave in the Vacuum -- 7.1.2 Connecting Z with the Quantum Wave Function of a Particle -- 7.2 The Wave Equation of a Photon Based on the Dynamic Change of Z -- 7.3 Deriving the Wave Equation of a Massive Particle -- 7.3.1 Physical Nature of the Wave Function Representing a Massive Particle -- 7.4 Identifying the Physical Meaning of Parameters Within the Wave Function -- 7.5 Derivation of the Klein-Gordon Equation from the Wave Equation of the Vacuum.7.6 Chapter Summary -- References -- 8 Derivation of the Dirac Equation from the Wave Equation of the Vacuum -- 8.1 Derivation of the Quantum Wave Equation for an Electron -- 8.1.1 How did Dirac Derive his Equation Originally? -- 8.2 Derivation of the Dirac Equation Based on the Quantum Wave Model -- 8.2.1 To Derive the Dirac Equation by Factorizing the Klein-Gordon Equation -- 8.3 Physical Meaning of the Dirac Wave Function -- 8.4 Dirac's "Hole Theory" and the Prediction of Anti-Particle -- 8.5 Chapter Summary -- References -- 9 Derivation of the Schrödinger Equation: What is the Physical Meaning of Its Wave Function? -- 9.1 Derivation of the Schrödinger Equation Based on the Quantum Wave Model -- 9.1.1 Development of the Correspondence Rules -- 9.1.2 Construction of the Schrödinger Equation Based on the Klein-Gordon Equation -- 9.2 Physical Meaning of the Quantum Wave Function of the Schrödinger Equation -- 9.2.1 All Quantum Wave Equations Can Be Traced to the Wave Equation of the Vacuum -- 9.3 Transition from Classical Physics to Quantum Mechanics: The Mechanical View Versus the Wave View -- 9.4 Chapter Summary -- References -- 10 A New Understanding on Wave-Particle Duality: Comparing the Quantum Wave Model with the Copenhagen Interpretation and Other Alternative Models -- 10.1 Bohr's Statistical Interpretation Can Be Explained by the Quantum Wave Model -- 10.1.1 Why Can a Physical Wave Function Give the Probability of Detecting the Quantum Particle During Its Measurement? A Case Study Using the Photon as an Example -- 10.1.2 Similarly, the Probability of Detecting an Electron at a Particular Location Is also Related to the Amplitude of the Electron's Wave Function -- 10.2 The Statistical Interpretation Does Not Work for the Electron Wave Function Inside an Atom -- 10.3 Controversy About the Different Interpretations of Quantum Mechanics.10.3.1 Skepticism About the Copenhagen Interpretation -- 10.3.2 The Many-World Interpretation of QM -- 10.3.3 The Pilot Wave Theory -- 10.4 How Did These Different Theories Explain the Double-Slit Experiment for Electrons? -- 10.4.1 The Double-Slit Experiment -- 10.5 Conclusion: Only the Quantum Wave Model Can Fully Explain the Quantum Phenomenon of Wave-Particle Duality -- 10.6 Chapter Summary -- References -- Part IV The Physical Meaning of Mass and Energy From a Wave Perspective -- 11 Why Can Mass and Energy Be Converted Between Each Other? Energy, Momentum, and Mass Have Geometrical Meanings in the Wave View -- 11.1 The Discovery of Energy-Mass Equivalence Was Not Based on Special Relativity -- 11.2 Why Mass and Energy Are Convertible? It is a Quantum Wave Effect -- 11.2.1 The Relation of Mass-Energy Equivalence for Photon is Clearly a Quantum Effect -- 11.3 The Physical Meaning of Mass: Mass Should Be Treated on the Same Footing as Energy and Momentum -- 11.3.1 Where Does Mass Come From? The Physical Meaning of Mass According to Newton -- 11.4 How Can a Wave Have Mass? -- 11.4.1 The Meaning of Mass in the Wave View -- 11.5 Origin of the Energy-Momentum Relation of a Quantum Particle -- 11.5.1 In the Teaching of Relativity, the Rest Mass is Simply an Integration Constant for Deriving the Energy-Momentum Relation -- 11.5.2 In the Quantum Wave Model, the Energy-Momentum Relation of a Particle Is Originated from the Dispersion Relation of the Quantum Wave Function -- 11.6 Energy, Momentum, and Mass Are All Related to the Curvature of Bending the Vacuum Medium -- 11.6.1 The Resting Energy and the Kinetic Energy of a Single Particle Appear to Form a Two-Dimensional Hilbert Space -- 11.7 How Can an Excitation Wave Behave Like a Particle? -- 11.7.1 The "Quantum" Phenomenon is Just a Manifestation of the "Principle of All-or-None".11.7.2 There is a One-to-One Correspondence Between the Particle Properties and the Wave Properties.This book presents a new approach to understanding the foundation of quantum physics through the "quantum wave model" hypothesis. It addresses some of the key challenges in the current quantum theory, including the conflict between quantum mechanics and relativity, and offers a comprehensive solution to many of the existing mysteries in the field. By proposing that the vacuum is a dielectric medium and quantum particles are quantized excitation waves of the vacuum, the book provides a clear physical interpretation of wave-particle duality and explains the physical basis of energy, momentum, and mass. With topics ranging from the physical foundation of quantum mechanics to the derivation of the quantum wave equations and the resolution of the conflict between quantum physics and relativity, this book offers a comprehensive overview of the most pressing issues in the field. Written at a level accessible to undergraduate students and senior researcher scientists alike, this book offers a valuable resource for anyone seeking a deeper understanding of quantum mechanics and its fundamental role in shaping our understanding of the physical world.Quantum physicsGeneral relativity (Physics)ElectrodynamicsOpticsElementary particles (Physics)Quantum field theoryFundamental concepts and interpretations of QMGeneral RelativityClassical ElectrodynamicsLight-Matter InteractionElementary Particles, Quantum Field TheoryQuantum physics.General relativity (Physics).Electrodynamics.Optics.Elementary particles (Physics).Quantum field theory.Fundamental concepts and interpretations of QM.General Relativity.Classical Electrodynamics.Light-Matter Interaction.Elementary Particles, Quantum Field Theory.530.12Chang Donald C.1730684MiAaPQMiAaPQMiAaPQ9910841856603321On the Wave Nature of Matter4142065UNINA