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Encuadernación Petrov Yu. I. Delusions and Errors in Fundamental Concepts of Physics. Пер. с рус.
Id: 189300
 

Delusions and Errors in Fundamental Concepts of Physics. Пер. с рус.

URSS. 504 pp. (English). CartonéISBN 978-5-396-00812-0.
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This book revealed and demonstrated latent or evident errors in the mathematical constructions of the general and special theories of relativity, quantum mechanics, and surface tensions in condensed bodies. This required examination of a wide range of questions concerning the essence of magnetism, effects of relative motion, and wave-corpuscular dualism of particles. Einstein’s errors in deriving the Lorentz transformations and estimating the secular precession of planetary perihelion were brought to light. The general relativity theory was shown to be incapable in principle to solve the problem of displacement of the perihelion, for example, of Mercury. The Lagrange formalism was found to be inapplicable to the system of charges moving in magnetic field. As a corollary, many equations in the Dirac and Landau quantum theories which incorporate magnetic field become fictitious. A simple solution of the problems in question is offered by the model of “blinking particles”. The absence of the Laplace compression pressure in small particles was established. The fundamental equation for the jump of the chemical potential on the surface of small particles was obtained, from which the Kelvin and Thomson formulae, as well as the Wulff rule, follow at once. The book is intended for a broad circle of readers with an interest in the fundamental problems of physics.


Contents
Contents3
Publishers’ Note8
Comments on “Delusions and Errors in Fundamental Concepts of Physics” by Yu. I. Petrov9
Preface15
Introduction17
Chapter 1. Space. Forces. Fields29
1.1. General concepts of space and forces29
1.1.1. Heinrich Hertz’s views on the principles of mechanics29
1.1.2. Formation of the concept of force and rigid hidden constraints in Hertz’s mechanics35
1.1.3. Dimensionality and metric of space36
1.1.4. Concept of Riemann geometry38
1.1.5. Conception of tensors40
1.1.6. On the principle of relativity47
1.1.7. What general relativity proposes53
1.2. Dynamics of particles in potential field according to modified Hertz mechanics72
1.3. On application of some operators of vector analysis77
1.3.1. Potential Field77
1.3.2. Curl field81
1.3.3. Contrast between potential and curl fields85
1.4. Gravitational and Coulomb potential fields92
1.4.1. Gravitational field93
1.4.2. Electrostatic field95
1.5. Motion of charged particles in magnetic fields96
1.6. Conclusion97
Chapter 2. Electrodynamics101
2.1. On magnetism101
2.2. Magnetic field of a direct current109
2.3. Ampère’s formula121
2.4. Interaction between moving charges124
2.5. Maxwell equations128
2.6. Electromagnetic field energy148
2.7. On inapplicability of Lagrange formalism to magnetic phenomena157
2.7.1. Is the concept of magnetism acceptable to classical physics?157
2.7.2. Analytical mechanics and magnetic interactions158
2.7.3. Van Leeuwen’s theorem166
2.7.4. Failure of attempts to describe motion of a charge in a magnetic field by analytical mechanics168
2.8. Collapse of Larmor theorem173
2.8.1. Zeeman effect and Larmor frequency173
2.8.2. Failure of various proofs of Larmor theorem174
2.8.3. Unreality of Larmor precession179
Chapter 3. Relative motion effects187
3.1. Time and relativity187
3.2. Lorentz transformations190
3.3. Model of blinking particles195
3.4. Doppler effect201
3.4.1. Relative motion of emitter and observer in vacuum202
3.4.2. Change of light frequency and wavelength during relative motion of emitter and observer in vacuum203
3.4.3. Light propagation in moving medium206
3.4.4. Illusory character of Lorentz transformations208
3.5. New view of the effects of relative motion. Relativity theory: unperceived delusion210
3.6. Behaviour of photons in force fields219
3.6.1. Results of general relativity theory219
3.6.2. What the model of blinking particles offers232
3.7. On secular precession of planetary perihelion236
3.7.1. Approach of general relativity theory236
3.7.2. Einstein’s errors238
3.7.3. Inability of general relativity to solve the problem246
3.7.4. A new description of planetary perihelion precession248
3.8. Comparison of the theory with experimental data250
3.8.1. On testing Lorentz transformations250
3.8.2. Change of emission frequency in force fields277
Chapter 4. Wave-corpuscular dualism of particles283
4.1. Introduction283
4.2. Material blinking particles286
4.3. Quantization of blackbody radiation. Corpuscular aspect of radiation290
4.4. Wave aspect of radiation296
4.5. Motion of electrons in atom298
4.5.1. Stationary and non-stationary orbits298
4.5.2. Bohr’s model of atom300
4.5.3. Effect of magnetic field on orbital motion of electrons302
4.5.4. Quantum numbers, selection rules and Zeeman effect. Spin of electron308
4.5.5. Angular momentum of photons318
4.6. Fundamentals of quantum mechanics323
4.6.1. Schrödinger’s wave equation and Heisenberg’s uncertainty principle323
4.6.2. Hamiltonian of a charge moving in a magnetic field345
4.7. Matrix quantum mechanics348
4.7.1. Definition of vectors and matrices349
4.7.2. Linear operators and their matrix representation351
4.7.3. Eigenvectors and eigenvalues351
4.7.4. Types of operators352
4.7.5. Physics and operators352
4.7.6. Commutation relations involving energy354
4.7.7. Angular momentum356
4.7.8. Spin matrices357
4.7.9. Eigenvalues of angular momentum operator358
4.7.10. Dirac’s theory359
Chapter 5. Metaphysical nature of mathematical foundations of quantum mechanics363
5.1. Introduction363
5.2. Derivation of Schrödinger equation365
5.3. Schrödinger equation as a Sturm—Liouville problem366
5.4. Spatial harmonic functions369
5.5. Important solutions of Schrödinger equation371
5.5.1. Harmonic oscillator371
5.5.2. Rotator373
5.5.3. Motion of an electron in a Coulomb field374
5.6. Illusory nature of the mathematics of quantum mechanics376
Chapter 6. Radiation and matter383
6.1. Formation and development of optical laws. Wave-corpuscle confrontation383
6.2. Interaction of radiation with matter393
6.3. Some dead-end difficulties of the wave theory402
6.4. Radiation sources in optics405
6.5. Once again about aether and revision of physical concepts409
6.6. Incorrect Hamiltonian leads to collapse of quantum electrodynamics424
6.7. Is quantum electrodynamics confirmed experimentally?432
6.8. Model of blinking particles as synthesis of wave and corpuscular aspects443
6.8.1. Time as a measure of motion443
6.8.2. Are there waves in vacuum?447
Chapter 7. New view on surface tension451
7.1. Introduction451
7.2. Criticism of mechanical models of surface tension454
7.3. Statistical-mechanical interpretation of internal pressure in liquids459
7.4. Thermodynamics of small particles473
References481

El autor
Born in 1922. Received a mathematical physics degree in 1954 and a Ph.D. degree in mathematical physics in 1967. After graduating from secondary school in 1940 he had been serving for six years in the Red Army participating in the Great Patriotic War. Graduated with Honours from the Physics Department of M. V. Lomonosov Moscow State University in 1949. Since then he has been working at the N. N. Semenov Institute of Chemical Physics, RAS, currently as a Chief Scientific Officer. The main range of scientific interests includes physics of clusters and small particles of metals, their alloys and compounds. Author of 167 scientific papers, including 5 monographs and 3 inventions.