| Contents | 3
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| Publishers’ Note | 8
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| Comments on “Delusions and Errors in Fundamental Concepts of Physics” by Yu. I. Petrov | 9
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| Preface | 15
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| Introduction | 17
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| Chapter 1. Space. Forces. Fields | 29
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| 1.1. General concepts of space and forces | 29
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| 1.1.1. Heinrich Hertz’s views on the principles of mechanics | 29
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| 1.1.2. Formation of the concept of force and rigid hidden constraints in Hertz’s mechanics | 35
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| 1.1.3. Dimensionality and metric of space | 36
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| 1.1.4. Concept of Riemann geometry | 38
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| 1.1.5. Conception of tensors | 40
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| 1.1.6. On the principle of relativity | 47
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| 1.1.7. What general relativity proposes | 53
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| 1.2. Dynamics of particles in potential field according to modified Hertz mechanics | 72
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| 1.3. On application of some operators of vector analysis | 77
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| 1.3.1. Potential Field | 77
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| 1.3.2. Curl field | 81
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| 1.3.3. Contrast between potential and curl fields | 85
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| 1.4. Gravitational and Coulomb potential fields | 92
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| 1.4.1. Gravitational field | 93
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| 1.4.2. Electrostatic field | 95
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| 1.5. Motion of charged particles in magnetic fields | 96
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| 1.6. Conclusion | 97
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| Chapter 2. Electrodynamics | 101
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| 2.1. On magnetism | 101
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| 2.2. Magnetic field of a direct current | 109
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| 2.3. Ampère’s formula | 121
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| 2.4. Interaction between moving charges | 124
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| 2.5. Maxwell equations | 128
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| 2.6. Electromagnetic field energy | 148
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| 2.7. On inapplicability of Lagrange formalism to magnetic phenomena | 157
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| 2.7.1. Is the concept of magnetism acceptable to classical physics? | 157
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| 2.7.2. Analytical mechanics and magnetic interactions | 158
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| 2.7.3. Van Leeuwen’s theorem | 166
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| 2.7.4. Failure of attempts to describe motion of a charge in a magnetic field by analytical mechanics | 168
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| 2.8. Collapse of Larmor theorem | 173
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| 2.8.1. Zeeman effect and Larmor frequency | 173
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| 2.8.2. Failure of various proofs of Larmor theorem | 174
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| 2.8.3. Unreality of Larmor precession | 179
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| Chapter 3. Relative motion effects | 187
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| 3.1. Time and relativity | 187
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| 3.2. Lorentz transformations | 190
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| 3.3. Model of blinking particles | 195
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| 3.4. Doppler effect | 201
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| 3.4.1. Relative motion of emitter and observer in vacuum | 202
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| 3.4.2. Change of light frequency and wavelength during relative motion of emitter and observer in vacuum | 203
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| 3.4.3. Light propagation in moving medium | 206
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| 3.4.4. Illusory character of Lorentz transformations | 208
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| 3.5. New view of the effects of relative motion. Relativity theory: unperceived delusion | 210
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| 3.6. Behaviour of photons in force fields | 219
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| 3.6.1. Results of general relativity theory | 219
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| 3.6.2. What the model of blinking particles offers | 232
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| 3.7. On secular precession of planetary perihelion | 236
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| 3.7.1. Approach of general relativity theory | 236
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| 3.7.2. Einstein’s errors | 238
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| 3.7.3. Inability of general relativity to solve the problem | 246
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| 3.7.4. A new description of planetary perihelion precession | 248
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| 3.8. Comparison of the theory with experimental data | 250
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| 3.8.1. On testing Lorentz transformations | 250
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| 3.8.2. Change of emission frequency in force fields | 277
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| Chapter 4. Wave-corpuscular dualism of particles | 283
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| 4.1. Introduction | 283
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| 4.2. Material blinking particles | 286
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| 4.3. Quantization of blackbody radiation. Corpuscular aspect of radiation | 290
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| 4.4. Wave aspect of radiation | 296
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| 4.5. Motion of electrons in atom | 298
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| 4.5.1. Stationary and non-stationary orbits | 298
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| 4.5.2. Bohr’s model of atom | 300
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| 4.5.3. Effect of magnetic field on orbital motion of electrons | 302
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| 4.5.4. Quantum numbers, selection rules and Zeeman effect. Spin of electron | 308
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| 4.5.5. Angular momentum of photons | 318
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| 4.6. Fundamentals of quantum mechanics | 323
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| 4.6.1. Schrödinger’s wave equation and Heisenberg’s uncertainty principle | 323
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| 4.6.2. Hamiltonian of a charge moving in a magnetic field | 345
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| 4.7. Matrix quantum mechanics | 348
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| 4.7.1. Definition of vectors and matrices | 349
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| 4.7.2. Linear operators and their matrix representation | 351
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| 4.7.3. Eigenvectors and eigenvalues | 351
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| 4.7.4. Types of operators | 352
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| 4.7.5. Physics and operators | 352
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| 4.7.6. Commutation relations involving energy | 354
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| 4.7.7. Angular momentum | 356
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| 4.7.8. Spin matrices | 357
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| 4.7.9. Eigenvalues of angular momentum operator | 358
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| 4.7.10. Dirac’s theory | 359
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| Chapter 5. Metaphysical nature of mathematical foundations of quantum mechanics | 363
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| 5.1. Introduction | 363
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| 5.2. Derivation of Schrödinger equation | 365
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| 5.3. Schrödinger equation as a Sturm—Liouville problem | 366
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| 5.4. Spatial harmonic functions | 369
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| 5.5. Important solutions of Schrödinger equation | 371
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| 5.5.1. Harmonic oscillator | 371
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| 5.5.2. Rotator | 373
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| 5.5.3. Motion of an electron in a Coulomb field | 374
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| 5.6. Illusory nature of the mathematics of quantum mechanics | 376
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| Chapter 6. Radiation and matter | 383
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| 6.1. Formation and development of optical laws. Wave-corpuscle confrontation | 383
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| 6.2. Interaction of radiation with matter | 393
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| 6.3. Some dead-end difficulties of the wave theory | 402
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| 6.4. Radiation sources in optics | 405
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| 6.5. Once again about aether and revision of physical concepts | 409
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| 6.6. Incorrect Hamiltonian leads to collapse of quantum electrodynamics | 424
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| 6.7. Is quantum electrodynamics confirmed experimentally? | 432
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| 6.8. Model of blinking particles as synthesis of wave and corpuscular aspects | 443
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| 6.8.1. Time as a measure of motion | 443
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| 6.8.2. Are there waves in vacuum? | 447
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| Chapter 7. New view on surface tension | 451
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| 7.1. Introduction | 451
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| 7.2. Criticism of mechanical models of surface tension | 454
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| 7.3. Statistical-mechanical interpretation of internal pressure in liquids | 459
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| 7.4. Thermodynamics of small particles | 473
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| References | 481
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Petrov Yuri Ivanovich