A MODEL OF EXTENDED MECHANICS AND NONLOCAL HIDDEN VARIABLES FOR QUANTUM THEORYстатья
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Аннотация:Newtonian physics is describes macro-objects sufficiently well, however
it does not describe microobjects. A model of Extended Mechanics for
Quantum Theory is based on an axiomatic generalization of Newtonian
classical laws to arbitrary reference frames postulating the description of
body dynamics by differential equations with higher derivatives of coordinates
with respect to time but not only of second order ones and follows
from Mach principle. In that case the Lagrangian L(t, q, q,˙ q, ..., ¨ q˙
(n), ...) depends on higher derivatives of coordinates with respect to time. The
kinematic state of a body is considered to be defined if n-th derivative of
the body coordinate with respect to time is a constant (i.e. finite). First,
kinematic state of a free body is postulated to invariable in an arbitrary
reference frame. Second, if the kinematic invariant of the reference frame
is the n-th order derivative of coordinate with respect to time, then the
body dynamics is describes by a 2n-th order differential equation. For
example, in a uniformly accelerated reference frame all free particles have
the same acceleration equal to the reference frame invariant, i.e. reference
frame acceleration. These bodies are described by third-order differential
equation in a uniformly accelerated reference frame.