### Regular Series

#### Vol. 21 (1990), No. 8, pp. 583 – 662

The Gauge Model of the Fifth Force

Acta Phys. Pol. B 21, 583 (1990)

page 583 •

abstract

Gauge fields of the translation group are suggested in order to describe nongravitational deviations from Newton’s gravitational law.

Semiclassical Resonance in Rotating Magnetic Fields

Acta Phys. Pol. B 21, 589 (1990)

page 589 •

abstract

The interaction matter-radiation is modeled by a harmonic oscillator in a rotating magnetic field. Recently discussed resonance phenomena involving the simultaneous absorption of several photons are detected in our model and described without the use of perturbative procedures. In some aspects this model is an alternative to the widely used rotating electric field model.

Construction of Space-Time from Linear Connections

Acta Phys. Pol. B 21, 603 (1990)

page 603 •

abstract

It is proposed that the existence of the space-time manifold with its pseudo-Riemanian geometry is a result of a connection in the bundle of frames of a larger fundamental manifold together with choice of a cross-section in such a bundle. No theory is formulated, but various aspects of the construction are discussed for two different local structures of the fundamental manifold: ${\bf R}^5$ and ${\bf C}^4$.

Intermittency, Negative Binomials and Two-Particle Correlations

Acta Phys. Pol. B 21, 611 (1990)

page 611 •

abstract

Recent data on factorial moments are analyzed and found to follow regularities expected from a negative binomial (NB) multiplicity distribution. A linked-pair approximation for the $r$-particle rapidity correlations, proposed by Carruthers and Sarcevic, is proven to lead to multiplicity distributions of NB-type in small rapidity windows. From the general theory of stochastic processes, we deduce that the random nature of hadron production in small phase space cells closely resembles that of a completely chaotic (Gaussian) system. The latter is shown to be phenomenologically equivalent with the Carruthers-Sarcevic ansatz for two-particle correlations of exponential (Lorentzian) shape.

Multidimensional Cosmological Models with Hydrodynamical Energy-Momentum Tensor. Part I. Analysis of Dynamical Systems in Finite Domains

Acta Phys. Pol. B 21, 627 (1990)

page 627 •

abstract

The dynamics of the full class of multidimensional cosmological models with topology FRW $\times$ $T^D$, where $T^D$ is a $D$-dimensional torus is investigated. Phase portraits show possible evolutions of FRW $\times$ $T^D$ models with a hydrodynamical energy-momentum tensor. Typical solutions for late times are studied. The stability of solutions, with dynamical reduction and inflation as dynamical effects of extra dimensions, is also discussed.

Multidimensional Cosmological Models with Hydrodynamical Energy-Momentum Tensor. Part II. Analysis of Dynamical Systems at Infinity

Acta Phys. Pol. B 21, 643 (1990)

page 643 •

abstract

The dynamics of the full class of multidimensional cosmological models with topology FRW $\times$ $T^D$, (where $T^D$ is a $D$-dimensional torus) near the singularity is investigated. Phase portraits show possible evolutions of FRW $\times$ $T^D$ models with hydrodynamical energy-momentum tensor. The problem of stability of solutions with a “crack-of-doom” singularity is also discussed.

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