**Spacetime & Substance**

International Physical Journal

**CONTENTS of No. 1(26)-2005**

S.S.Sannikov-Proskuryakov.NON--NEUMANNIAN REPRESENTATIONS OF ROTATION GROUP (TO THE ETHER THEORY). 1 (1)

J.A. Belinchon.BULK VISCOUS FRW WITH TIME VARYING CONSTANTS REVISITED (8)

S.N.Arteha.CRITICAL REMARKS TO THE RELATIVITY THEORY (14)

S.S.Sannikov-Proskuryakov.NON--NEUMANNIAN REPRESENTATIONS OF ROTATION GROUP (TO THE ETHER THEORY). 2 (21)

Angelo Loinger.NO GW IS EMITTED BY B PSR1913+16 (28)

Geetanjali Sethi, Pranav Kumar, Sanjay Pandey & Daksh Lohiyadag.A CASE FOR NUCLEOSYNTHESIS IN SLOWLY EVOLVING MODELS (31)

N.A.Zhuck.SLAV-ARYAN VEDAS ABOUT THE UNIVERSE STRUCTURE AND HUMANITY HISTORY (39)

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Here infinite dimensional non-self-adjoint irreducible representations of the Lie algebra $so(3)$ corresponding to the arbitrary complex spin are studied. These representations generate a new class of representations of the rotation group $SO(3)$ in whole (more exactly of a new Lie group connected with 1-chain fibration of the latter) non-unitary multivalued not subjected to the well known von Neumann axiom. A new physical reality stands behind the infinite complete set of such representationts called ether. In this Part general definition of 1-chain group and non-Neumannian group of linear operators acting in its carrier space (generalized functions of exponential type) are given. It might be called the main elements of semispinor analysis.

We study a full causal bulk viscous cosmological model with flat FRW symmetries and where the ``constants'' $G,c$ and $\Lambda $ vary. We take into account the possible effects of a $c-$variable into the curvature tensor in order to outline the field equations. Using the Lie method we find the possible forms of the ``constants'' $G$ and $c$ that make integrable the field equations as well as the equation of state for the viscous parameter. It is found that $G,c$ and $\Lambda $ follow a power law solution verifying the relationship $G/c^{2}=\kappa .$ Once these possible forms have been obtained we calculate the thermodynamical quantities of the model in order to determine the possible values of the parameters that govern the quantities, finding that only a growing $G$ and $c$ are possible while $% \Lambda $ behaves as a negative decreasing function.

The article is devoted to a critical analysis of some aspects (logical and experimental) of the relativity theory.

Here we continue to consider the infinite dimensional irreducible multivalued non-unitary representations of the rotation group $SO(3)$ behind which a new physical reality called pre-matter (bi-Hamiltonian matter or ether) stands. Here non-Neumannian representations of the $GL(2,C)$ group and connected with it monoid $M(2,C)$ are considered in details.

In the \emph{exact} (non-linear) formulation of general relativity (GR) \emph{no} motion of bodies can give origin to gravitational waves (GW's) -- as it has been proved. Accordingly, the measured rate of change of the orbital period of binary pulsar B PSR1913+16 must have \emph{other} causes, different from the emission of GW's; maybe the viscous losses of the unseen pulsar companion, if it were e.g. a helium star.

We present a case for Cosmological Nucleosynthesis in an FRW universe in which the scale factor expands linearly with time: $a(t) t$. It is demonstrated that adequate amount of $^4He$ requires a baryon density that saturates mass bounds from galactic clusters. There is a collataral metallicity production that is quite close to the lowest metallicity observed in metal poor Pop II stars and clouds. On the other hand, sites for incipient low metallicity (Pop II) star formation can support environments conducive to Deuterium production up to levels observed in the universe. A profile of a revised ``Standard Cosmology'' is outlined.

There is given the unique information about Slav-Aryan Veda, written on golden plates more than 40 thousand years ago that contain the description of the Universe structure and properties, Galaxy beginning and evolution, Solar System structure and its change during the last 153 thousand years, history of settlement and the Earth greatest cataclysms, knowledge about nature and society, race origin and migration ways of the Ukraine inhabitants ancestors, precepts of our far ancestors and event forecast until 2172.

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