**Spacetime & Substance**

International Physical Journal

**CONTENTS of No. 3(8)-2001**

V.L. Rvachev and K. Avinash.QUADRATIC RED SHIFT LAW AND THE NON-ARCHIMEDEAN UNIVERSE (97)

B. Dragovich and Lj. Neshich.ADELIC QUANTUM COSMOLOGY (100)

A.K.Mittal, Daksh Lohiya.CONDITIONAL COSMOLOGICAL PRINCIPLE AND FRACTAL COSMOLOGY (104)

Alexandre Baranov and Dmitri Baranov.STATIC STAR MODEL AND MATHIEU FUNCTIONS (108)

H. Chavez, L. Masperi, M. Orsaria.SUPERHEAVY PARTICLES EITHER FOR UHECR OR FOR MUON ANOMALY (111)

Jacques Moret-Bailly.POINTLESSNESS AND DANGEROUSNESS OF THE QUANTUM MECHANICS (116)

Miroslav Sukenik and Jozef Sima.PODKLETNOVS PHENOMENON - GRAVITY ENHANCEMENT OR CESSATION? (124)

G.B.Alaverdyan, A.R.Harutyunyan, Yu.L.Vartanyan.ON SMALL MASS HYBRID STARS WITH QUARK CORE (129)

M.M.Abdildin, M.E.Abishev, N.A.Beisehova.ON SUBSTANTIATION OF RELATIVISTIC EQUATION OF ROTARY MOTION IN GR MECHANICS (132)

Ali Shojai and Fatimah Shojai.QUANTUM EFFECTS AND CLUSTER FORMATION (134)

Jorge Guala-Valverde and Pedro Mazzoni.THE UNIPOLAR MOTOR: A TRUE RELATIVIST ENGINE (140)

DISCUSSION.(143)

NEW BOOKS.(144)

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The quadratic law of the cosmic red-shift proposed recently by Segal et al. and Troitskii et al. is explained in a static non-Archimedean universe by the "compression" of the radial distance metric. The metric is compressed according to the universal mapping function $ \nu (x) = tanh x $.

Adelic quantum cosmology is an application of adelic quantum theory to the universe as a whole. Adelic approach takes into account all archimedean and non-archimedean geometries based on real and p-adic numbers, respectively. Calculation of the corresponding adelic wave function of the universe exploits Feynman's path integral method. In this contribution we will give a short review of p-adic numbers and adeles, as well as motivation and formulation of adelic quantum cosmology. Adelic wave functions for a few minisuperspace models will be presented. There is some discreteness of minisuperspaces, which is a consequence of p-adic quantum effects and depends on adelic quantum state of these models.

Assuming a fractal distribution of matter in the universe, consequences that follow from the General Theory of Relativity and the Copernican Principle for fractal cosmology are examined. The change in perspective necessary to deal with a fractal universe is highlighted. An ansatz that provides a concrete application of the {\bf Conditional Cosmological Principle} is provided. This fractal cosmology is obtained by arguments closely following those used in standard cosmology. Such a fractal cosmological model can incorporate homogeneous radiation only if its fractal dimension is 2. The resulting model may play a significant role in the debate on whether the universe is a fractal or crosses over to homogeneity at some scale. This model may also be regarded as an idealized fractal model around which more realistic models may be built.

The Einstein equations with the metric in radiation coordinates of Bondi and energy-momentum tensor of the Pascal perfect fluid are reduced to three differential equations system, one of which can be written as the nonlinear oscillation equation through a new variable. We shall require concurrence of the obtained equation with the equation Mathieu in the finite interval and the star model is described by the Mathieu functions. It leads to a nonlinear equation of the concordance. Inside the star mass density there is a generalization of the parabolic mass density law, which is valid only for an equation of linear oscillator. In a linear approximation estimates are obtained. The star model describes a compact astrophysical object.

We show that, according to the scheme of spontaneous breakings starting from a GUT with symmetry $E_{6} $, it is possible that either a superheavy particle without ordinary interactions is source of ultra high energy cosmic rays (UHECR) or a not so heavy lepton mixes with muon explaining the recently observed discrepancy of the anomalous magnetic moment of the latter.

The formalism of quantum mechanics produces spectacular results, but its rules, its parameters are empirical, either deduced from classical physics, or from experimental results rather than from the postulates. Thus, quantum mechanics is purely phenomenological; for instance, the computation of the eigenvalues of the energy is generally a simple interpolation in the discrete space of the quantum numbers. The attempts to show that quantum electrodynamics is more precise than classical electrodynamics are based on wrong computations. The lack of paradoxes in the classical theory, the appearance of classical, true interpretations of the wave-particle duality justify the criticism of Ehrenfest and Einstein. The obscurity of the quantum concepts leads to wrong conclusions that handicap the development of physics. Just as building a laser was considered absurd before the first maser worked, the concept of photon leads to deny a type of coherent Raman scattering necessary to understand some redshifts of spectra in astrophysics, and able to destroy the two fundamental proofs to the expansion of the universe.

"Llewlyn Thomas, a noted Columbia theorist, told me flatly that the maser could not, owing the basic physics principles, provide a pure frequency with the performance that I predicted. So certain was he that he more or less refused to listen to my explanations. After it worked, he just stopped talking to me altogether. On visiting Niels Bohr, the pioneer of quantum mechanics, in Denmark, he exclaimed: "But that is not possible". At a cocktail party in New Jersey, the Hungarian mathematician John von Neumann declared "That can't be right". These objections were founded on principle - the uncertainty principle, the central tenet of quantum mechanics. To physicists steeped in the uncertainty principle, the maser's performance made no sense at all". (C.H.Townes).

Owing to Vaidya metric including, the model of Expansive Nondecelerative Universe (ENU) is able to localize gravitational energy. Based on the quantification of gravitational field of the Earth, ENU allows to rationalize and quantify the effects of a superconductor-based high voltage impulse gravity generator constructed by Podkletnov. The differences in energy effect observed for two generators used are explained and improvement of the experiment arrangement is proposed. Keywords: Podkletnov's phenomenon; impulse gravity generator; Expansive Nondecelerative Universe; gravity localization; solar corona temperature.

The models of layer neutron stars with strange quark core were constructed, based on wide range of realistic equations of state of superdense matter. The parameters of minimal mass layer stars were obtained to be sensitive enough to the selected models for both the neutron and strange quark matter. In particular, within the region of small masses for some models of neutron matter the appearance of additional local maximum on star mass-central pressure curve was revealed. This fact makes possible the existence of stable superdense stars of small masses (M/M$_{\odot }\sim 0.08)$, having quark core with radius of $\sim 1km$, where only 6\% of the whole star mass is concentrated. Their radius can reach the values of order of 1000km, that makes them resembling to white dwarfs. In the considered model an accretion of matter can result in two consecutive transitions to the neutron star with a quark core with an energy release resembling supernovae explosions.

The present work is aimed for substantiation of relativistic equation of rotary motion.

The causal interpretation of quantum mechanics is applied to the universe as a whole and the problem of cluster formation is studied in this framework. It is shown that the quantum effects {\it may\/} be the source of the cluster formation.\\

Following our task concerning unipolar devices, started as far as 1994 in the American Journal of Physics [1], [2], we describe a new experiment available to locate, without ambiguities, the seat of ponderomotive forces in such engines. Our findings are in full accordance with relativistic physics and disprove absolutistic views on the whole issue.

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