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The Abraham Zelmanov Journal

"Svenska fysikarkivet", that means the "Swedish physics archive", is a non-commerical, academic publisher registered with Kungliga biblioteket (the Royal National Library of Sweden, Stockholm), and is included into the list of Swedish publishers. We publish books containing valuable result in theoretical and experimental physics, including related themes from mathematics and astronomy.

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In this book, we build the theory of non-geodesic motion of particles in the space-time of General Relativity. Motion of a charged particle in an electromagnetic field is constructed in curved space-time (in contrast to the regular considerations held in Minkowski's space of Special Relativity). Spin particles are explained in the framework of the variational principle: this approach distinctly shows that elementary particles should have masses governed by a special quantum relation. Physical vacuum and forces of non-Newtonian gravitation acting in it are determined through the lambda-term in Einstein's equations. A cosmological concept of the inversion explosion of the Universe from a compact object with the radius of an electron is suggested. Physical conditions inside a membrane that separates space-time regions where the observable time flows into the future and into the past (our world and the mirror world) are examined.

This is a research on all kinds of particles, which could be conceivable in the space-time of General Relativity. In addition to mass-bearing particles and light-like particles, zero-particles are predicted: such particles can exist in a fully degenerate space-time region (zero-space). Zero-particles seems as standing light waves, which travel in instant (non-quantum teleportation of photons); they might be observed in a further development of the "stopped light experiment" which was first conducted in 2001, at Harvard, USA. The theoretical existence of two separate regions in the space-time is also shown, where the observable time flows into the future and into the past (our world and the mirror world). These regions are separated by a space-time membrane wherein the observable time stops. A few other certain problems are considered. It is shown, through Killing's equations, that geodesic motion of particles is a result of stationary geodesic rotation of the space which hosts them. Concerning the theory of gravitational wave detectors, it is shown that both free-mass detector and solid-body detector may register a gravitational wave only if such a detector bears an oscillation of the butt-ends.

This is a 4th (posthumous) edition of Marinov's book, augmented with new experimental data and a biographical essay about the author. Stefan Marinov (1931-1997), an experimental and theoretical physicist, who invented a new and highly original method (the "coupled shutters" experiment) to measure the anisotropy in the distribution of the observable velocity of light which is due to the carrying of a light beam by the motion of the space of the Earth itself, despite the world-invariant of the velocity of light is still remaining constant. This book contains a detailed description of the experiment along with many other experiments, and also an updated version of Marinov's treatment of relativistic mechanics and electrodynamics.

If the origin of a microwave background is the Earth, what would be its density and dipole anisotropy at different altitudes? It is shown that the background decreases with altitude so that its density deceases at the 2nd Lagrange point (1.5 mln km from the Earth, the position of the WMAP and PLANCK satellites), while the anisotropy remains the same. The COBE satellite, positioned in a 900 km orbit, gives two temperatures of the Penzias-Wilson microwave background, measured on the monopole component and calculated through the dipole component (the 1st derivative of the monopole). If the background is generated on the Earth, this deviation meets a clear theoretical explanation as the anisotropy due to the motion of the monopole in common with the source, the Earth, relative to the intergalactic foreground at 365 km/sec. This theory is the complete theoretical proof to the experimental analysis conducted by P.-M. Robitaille (Dept. of Radiology, the Ohio State University), according to which the Penzias-Wilson microwave background is not of cosmic origin, but of the Earth, and is generated by the oceans. In contrast to WMAP, whose differential instruments target the anisotropy, PLANCK has on board absolute instruments and is able to give a proof to this theory when showing no the monopole component at the 2nd Lagrange point.

This book represents a result of many-year theoretical research, which manifested hyperbolic law in Mendeleev's Periodic Table. According to the law, an upper limit (heaviest element) exists in Mendeleev's Table, whose atomic mass is 411.66 and No.155. It is shown that the heaviest element No.155 can be a reference point in nuclear reactions. Due to symmetry of the hyperbolic law, the necessity of the Table of Anti-Elements, consisting of anti-substance, has been predicted. This manifests that the found hyperbolic law is universal, and the Periodic Table is common for elements and anti-elements.

This book is a results of many-year observations, which manifested a new phenomenon unknown before. This is, unexplained by any of the methodical reasons, the "scattering" of measurement results obtained on processes of absolutely different nature — chemical and biological reactions, noises in electronic systems, thermal noise in a gravitational wave antenna, and also radioactive decay of all kinds. This phenomenon is due to fluctuations of our space-time, manifest on the object under study while it moves through an inhomogeneous anisotropic space-time region. The fine structure of the spectrum of the amplitudes of fluctuations of the quantities we measured, i.e. the form of the respective histograms, changes periodically with time and depends on only the geographical location and the local time of our observation. Part I of this book gives a description of the main stages of our research produced in the years 1951-1997, and led to very common conclusions. Part II of this book presents the results obtained in the study of the aforementioned effect in systematical measurements of alpha-decay of 239-Pu.

The detection of GW in the noisy output of the detectors has its own problem, not the least of which is the sheer volume of data analysis. The data analysis of the signals is computationally demanding even for the standard computer expected to be available in the near future. Hence, the book discusses the data analysis problem of the signal by developing the analytical Fourier Transform with taking into account the Earth's rotational motion around its axis, and its revolution around the Sun for efficient data analysis, efficient not only in a picking weak signal from the noisy data but also in terms of the computing-cost. Taking the advantage of the analytical Fourier Transform over the Fast Fourier Transform in terms of resolution and computational cost, we applied the technique of "Matched Filtering" and estimated the number of templates required for matched filtering in an all sky search of the signal, and also an analysis has been done for the possible symmetries in the sky location as the parameters of the signal manifold and templates corresponding to the different source locations. The trade-off between computational cost and sensitivities arises due the Earth azimuth in the bank of search templates for an all-sky search of the singal has been also discussed.

The book draws theoretical findings for spin-curvature and the unification of fields in a twisted space. A space twist, represented through the appropriate formalism, is related to the anti-symmetric metric tensor. Kaluza's theory is extended and given an appropriate integrability condition. Both matter and the isotropic electromagnetic field are geometrized through common field equations: trace-free field equations giving the energy-momentum tensor for such an electromagnetic field solely via the (generalized) Ricci curvature tensor and scalar are obtained. In the absence of electromagnetic fields the theory goes to Einstein's 1928 theory of distant parallelism where only matter field is geometrized (through the twist of space-time). The above results in common with respective wave equations are joined into a "unified field theory of semi-classical gravoelectrodynamics".

There are important areas within which the conventional electromagnetic theory of Maxwell's equations and its combination with quantum mechanics does not provide fully adequate descriptions of physical reality. As earlier pointed out by Feynman, these difficulties are not removed by and are not directly associated with quantum mechanics. Instead the analysis has to become modified in the form of revised quantum electrodynamics, for instance as described in this book by a Lorentz and gauge invariant theory. The latter is based on a nonzero electric charge density and electric field divergence in the vacuum state, as supported by the quantum mechanical vacuum fluctuations of the zero-point energy. This theory leads to new solutions of a number of fundamental problems, with their applications to leptons and photon physics. They include a model of the electron with its point-charge-like nature, the associated self-energy, the radial force balance in presence of its self-charge, and the quantized minimum value of the free elementary charge. Further there are applications on the individual photon and on light beams, in respect to the angular momentum, the spatially limited geometry with an associated needle-like radiation, and the wave-particle nature in the photoelectric effect and in two-slit experiments.