On the local systems Hamiltonian in the weakly nonlocal Poisson brackets. Abstract We study in this work the important class of nonlocal Poisson Brackets (PB) which we call weakly nonlocal. They appeared recently in some investigations in the Soliton Theory. However there was no theory of such brackets except very special first order case. Even in this case the theory was not developed enough. ...

There has been considerable discussion of the claim by Stapp [1] that quantum theory is incompatible with locality. In this note I analyze the meaning of some of the statements used in this discussion.

The possibility is investigated that a nonlocal formulation of gauge theories may provide an alternative mechanism for the generation of mass. For this purpose, a path-integral approach is used, with gauge-averaging term leading to an invertible integro-differential operator on field disturbances and to a mass term in the semiclassical Lagrangian. It is therefore shown that suitable choices of ...

Quantum mechanics and relativistic causality together imply nonlocality: nonlo-cal correlations (that violate the CHSH inequality) and nonlocal equations of motion (the Aharonov-Bohm effect). Can we invert the logical order? We consider a conjecture that nonlocality and relativistic causality together imply quantum mechanics. We show that correlations preserving relativistic causality can viola...

The Boltzmann local physical kinetics forecasts the destruction of SC regime because heat movement particles. Then, most fundamental distinction between a strange metal and conventional is absence well-defined quasi-particles. Here, we show that mentioned “quasi-particles” are solitons, which formed as result self-organization ionized matter. Shortcomings consist in description transport proces...

Quantum mechanical phenomena have a ected our lives in numerous ways. Their impact on modern technology ranges from everyday applications such as transistors, lasers and solar cells to ground breaking equipment such as Scanning-Tunneling electron microscopes. However, in spite all results in fundamental quantum theory research, various aspects of the theory are still not fully understood. This ...