Abstract
Shortcomings of the Boltzmann physical kinetics and the Schrödinger wave mechanics are considered. From the position of nonlocal physics, the Schrödinger equation is a local equation; this fact leads to the great shortcomings of the linear Schrödinger wave mechanics. Nonlocal nonlinear quantum mechanics is considered using the wave function terminology.
Highlights
Shortcomings of the Schrödinger and Madelung Quantum MechanicsShortcomings of the Boltzmann physical kinetics consist in the local description of the transport processes on the level of infinitely small physical volumes (PhSV) as elements of diagnostics
7) Obviously the mentioned non-local effects can be discussed from viewpoint of breaking of the Bell’s inequalities because in the non-local theory the measurement has an influence on the measurement realized in the adjoining space-time point in PhSV2 and verse versa
−i τ quψ 1 ∂ ⋅F−i 2 ∂r τ qu Omitting all terms containing nonlocal parameter τ qu in Equation (3.29) we lose the last connection with non-local physics and find the typical form of the Schrödinger equation i
Summary
Shortcomings of the Boltzmann physical kinetics consist in the local description of the transport processes on the level of infinitely small physical volumes (PhSV) as elements of diagnostics. Let us turn to the logic of the development of the non-local theory of transport processes: 1) In 1926 Madelung published a brilliant article [11] in which he transformed the quantum postulate (Schrödinger equation containing the ψ wave function) in hydrodynamics. The abstract of the classic Madelung’s article [11] contains only one brilliant phrase: “It is shown that the Schrödinger equation for one-electron problems can be transformed into the form of hydrodynamic equations”. The “derivation” of the SE using the wave function in the form ψ = ei(ωt−kx) leads to another system of hydrodynamic equations: This means that the generalized hydrodynamic equations (GHE) contain an implicit approximation against the direction of the arrow of time. At the first glance, the nonlocal hydrodynamic equations together with the Madelung conditions (2.8)-(2.10) exhaust the problem
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