Contents  3

Publishers’ Note  8

Comments on “Delusions and Errors in Fundamental Concepts of Physics” by Yu. I. Petrov  9

Preface  15

Introduction  17

Chapter 1. Space. Forces. Fields  29

1.1. General concepts of space and forces  29

1.1.1. Heinrich Hertz’s views on the principles of mechanics  29

1.1.2. Formation of the concept of force and rigid hidden constraints in Hertz’s mechanics  35

1.1.3. Dimensionality and metric of space  36

1.1.4. Concept of Riemann geometry  38

1.1.5. Conception of tensors  40

1.1.6. On the principle of relativity  47

1.1.7. What general relativity proposes  53

1.2. Dynamics of particles in potential field according to modified Hertz mechanics  72

1.3. On application of some operators of vector analysis  77

1.3.1. Potential Field  77

1.3.2. Curl field  81

1.3.3. Contrast between potential and curl fields  85

1.4. Gravitational and Coulomb potential fields  92

1.4.1. Gravitational field  93

1.4.2. Electrostatic field  95

1.5. Motion of charged particles in magnetic fields  96

1.6. Conclusion  97

Chapter 2. Electrodynamics  101

2.1. On magnetism  101

2.2. Magnetic field of a direct current  109

2.3. Ampère’s formula  121

2.4. Interaction between moving charges  124

2.5. Maxwell equations  128

2.6. Electromagnetic field energy  148

2.7. On inapplicability of Lagrange formalism to magnetic phenomena  157

2.7.1. Is the concept of magnetism acceptable to classical physics?  157

2.7.2. Analytical mechanics and magnetic interactions  158

2.7.3. Van Leeuwen’s theorem  166

2.7.4. Failure of attempts to describe motion of a charge in a magnetic field by analytical mechanics  168

2.8. Collapse of Larmor theorem  173

2.8.1. Zeeman effect and Larmor frequency  173

2.8.2. Failure of various proofs of Larmor theorem  174

2.8.3. Unreality of Larmor precession  179

Chapter 3. Relative motion effects  187

3.1. Time and relativity  187

3.2. Lorentz transformations  190

3.3. Model of blinking particles  195

3.4. Doppler effect  201

3.4.1. Relative motion of emitter and observer in vacuum  202

3.4.2. Change of light frequency and wavelength during relative motion of emitter and observer in vacuum  203

3.4.3. Light propagation in moving medium  206

3.4.4. Illusory character of Lorentz transformations  208

3.5. New view of the effects of relative motion. Relativity theory: unperceived delusion  210

3.6. Behaviour of photons in force fields  219

3.6.1. Results of general relativity theory  219

3.6.2. What the model of blinking particles offers  232

3.7. On secular precession of planetary perihelion  236

3.7.1. Approach of general relativity theory  236

3.7.2. Einstein’s errors  238

3.7.3. Inability of general relativity to solve the problem  246

3.7.4. A new description of planetary perihelion precession  248

3.8. Comparison of the theory with experimental data  250

3.8.1. On testing Lorentz transformations  250

3.8.2. Change of emission frequency in force fields  277

Chapter 4. Wavecorpuscular dualism of particles  283

4.1. Introduction  283

4.2. Material blinking particles  286

4.3. Quantization of blackbody radiation. Corpuscular aspect of radiation  290

4.4. Wave aspect of radiation  296

4.5. Motion of electrons in atom  298

4.5.1. Stationary and nonstationary orbits  298

4.5.2. Bohr’s model of atom  300

4.5.3. Effect of magnetic field on orbital motion of electrons  302

4.5.4. Quantum numbers, selection rules and Zeeman effect. Spin of electron  308

4.5.5. Angular momentum of photons  318

4.6. Fundamentals of quantum mechanics  323

4.6.1. Schrödinger’s wave equation and Heisenberg’s uncertainty principle  323

4.6.2. Hamiltonian of a charge moving in a magnetic field  345

4.7. Matrix quantum mechanics  348

4.7.1. Definition of vectors and matrices  349

4.7.2. Linear operators and their matrix representation  351

4.7.3. Eigenvectors and eigenvalues  351

4.7.4. Types of operators  352

4.7.5. Physics and operators  352

4.7.6. Commutation relations involving energy  354

4.7.7. Angular momentum  356

4.7.8. Spin matrices  357

4.7.9. Eigenvalues of angular momentum operator  358

4.7.10. Dirac’s theory  359

Chapter 5. Metaphysical nature of mathematical foundations of quantum mechanics  363

5.1. Introduction  363

5.2. Derivation of Schrödinger equation  365

5.3. Schrödinger equation as a Sturm—Liouville problem  366

5.4. Spatial harmonic functions  369

5.5. Important solutions of Schrödinger equation  371

5.5.1. Harmonic oscillator  371

5.5.2. Rotator  373

5.5.3. Motion of an electron in a Coulomb field  374

5.6. Illusory nature of the mathematics of quantum mechanics  376

Chapter 6. Radiation and matter  383

6.1. Formation and development of optical laws. Wavecorpuscle confrontation  383

6.2. Interaction of radiation with matter  393

6.3. Some deadend difficulties of the wave theory  402

6.4. Radiation sources in optics  405

6.5. Once again about aether and revision of physical concepts  409

6.6. Incorrect Hamiltonian leads to collapse of quantum electrodynamics  424

6.7. Is quantum electrodynamics confirmed experimentally?  432

6.8. Model of blinking particles as synthesis of wave and corpuscular aspects  443

6.8.1. Time as a measure of motion  443

6.8.2. Are there waves in vacuum?  447

Chapter 7. New view on surface tension  451

7.1. Introduction  451

7.2. Criticism of mechanical models of surface tension  454

7.3. Statisticalmechanical interpretation of internal pressure in liquids  459

7.4. Thermodynamics of small particles  473

References  481
