abstract

Some physical aspects of the previously introduced Finslerian structure based on the (generalized) Finsler metric \(g_{\lambda \kappa }(x,y) = \gamma _{\lambda \kappa }(x)+ h_{\lambda \kappa }(x,y)\) are considered.

abstract

The claims made by V.I. Obozov, that Einstein’s equations together with the Bianchi identities and their consequences exclude certain types of equations of state and prohibit certain kinds of flow of a perfect fluid, are mostly contradicted by existing explicit solutions of Einstein’s equations. The errors in Obozov’s arguments are pointed out.

abstract

Null tetrad and spinor formalisms for all 4-dimensional real or complex Riemannian manifolds are given. Global and local aspects of these formalisms are analysed, and their equivalence for suitably oriented spaces is shown.

abstract

The \(A\)-dependence of the nuclear structure functions is described rather, well within the framework of the quark–parton–flucton model of nucleus (Acta Phys. Austriaca 57, 33 (1985), Acta Phys. Austriaca 57, 239 (1985), Acta Phys. Austriaca 57, 277 (1985), Acta Phys. Pol. B17, 401 (1985)).

abstract

The problem of anomalies in quantum mechanics is discussed. it is shown that they can be treated in a way completely analogous to the Fujikawa approach in field theory.

abstract

It is shown that the theories of spin \(\frac {3}{2}\), equivalent in the massive case, are not equivalent in the \(m = 0\) limit. The Townsend description with the help of the antisymmetric tensor-bispinor is obtained as the \(m = 0\) limit of the nonminimal theory of the spin \(\frac {3}{2}\).

abstract

The nonminimal description (with the help of the antisymmetric tensor-bispinor) of the spin \(\frac {3}{2}\), equivalent to the Rarita–Schwinger theory, is given. The variational principle is formulated.

abstract

The expressions for the energy emitted by a charged particle moving along a straight line finite trajectory in a transparent medium have been analysed. It has been shown that the dependence of the irradiated energy on the particle velocity lacks that peculiarity, which may be treated as a threshold. A possibility of dividing the radiation into two parts caused by different mechanisms of the particle-medium interaction has been considered.

abstract

It is shown that the Ising model in two dimensions reveals the intermittent behaviour at the critical temperature. We conjecture that intermittency exists generally at the second order phase transition points.