The existence of the surface with edge in Minkowsky space with the given Grassman image

One considers the problem connected with the finding of the non-isotropic surface in Minkowsky space with the help of its Grassman image in the global aspect. This problem can be reduced to the proof of the existence of the solution of the partial differential equation of the second order. The paper deals with the hyperbolic case. One describes the technique of the specialization of the moving frame of the surface. This technique is based on the metric properties of Minkowsky space.

DEFORMED SPACE-TIME OF THE PIEZONUCLEAR EMISSIONS

In this paper, an experimental verification of the relationship between the deformed Minkowsky space-time and the piezonuclear emission has been obtained by testing several cylindrical steel bars cyclically loaded in a mechanical fatigue machine. During the compression cycles, α-particles have been both detected by a ZnS ( Ag ) scintillator and a Geiger counter. Taking into account the theory of the deformed special relativity, we report that the emission only occurs after a specific value of energy is overcome. This value is strictly related to the weak and strong nuclear interactions, which in turn define the regions of Minkowsky and non-Minkowsky space-time.

General Relativity Evolution of the Photons in Dielectrics

Basic Einstein general relativity equations are linearized and coupled with Maxwell electromagnetic field equations to produce local gravitationally corrected Minkowsky space metrics; fundamental application on gravity action of an intense laser beam upon a weaker parallel one in dielectrics is undertaken towards evaluating of the space deviation phase shift and confirming the general equivalence principle of inertia for phonons in nanomaterials.

twistors and gauge fields

We describe briefly the basic ideas and results of the twistor theory. The main points: twistor representation of Minkowsky space, Penrose correspondence and its geometrical properties, twistor interpretation of linear massless fields, Yang-Mills fields (including instantons and monopoles) and Einstein-Hilbert equations.