RQCP - paradigm was formed at research of conceptual problems of quantum causality, conformity and observabilities by a principle of temporal superpositions and reductions of wave functions [1-3]. In RQCP interpretation separate positions of OLQT in the form of determination of events on Plank’s time-like distance of quantum continuum [6-10].

|X> = |x[t(2)]> || x[t(1)]>;

In SQT conditions of psi-function of microscopic systems are accepted

|x(i)> => |y(i)>, (i = 1, 2). (3)

Specificity of chronoquantum localizations is shown in metamorphosises of quantum ensemble: parametrical determination => quantum correlation => the confusing condition

|X> = const {|x(i)> |y(i)> + |x(i)> |y(i)>}; (4)

where |x(i)> and |y(i)> i-particles in the confusing condition. SQT predicts here an opportunity projective parameters at microobjects. Thus fixing of projections of homogeneous parameters on various axes by standard rules of quantum mechanics corresponds to probability of two alternatives quantum calculations in the assumption that observable properties did not exist before supervision [8-12].

In SQT treatment correlation experiments confirm infringement of inequalities OLQT, proving, that to microscopic systems objectively existing conditions are non-comparable on macrodistances. The events divided by intervals, are mutually correlated with replacement connections by relations of correlation.

Conceptualization of quantum continuum in RQCP concerns concepts of intervals:

S^2 = (c ∆t)^2 - ∆X^2 = (c* ∆t)^2 – (V ∆t)^2;

T^2 = ∆t^2 – (∆X / c)^2 = (∆X / V)^2 - (∆X / c*)^2. (5)

In RQCP it is possible to enter transformations of coordinates for movement in time at

q (x, y, z) = q* (x’, y’, z’);

t = t* - q* (x’, y’, z’). (6)

Accordingly, intervals (5) become:

S(t)^2 = ∆q (x, y, z)^2 - (c* ∆t)^2 = (V ∆t)^2 - (c* ∆t)^2;

T(t)^2 = [q(x, y, z) c*]^2 - ∆t^2 = [q(x, y, z) c*]^2 - [q(x, y, z) V]^2. (7)

Proceeding from earlier received interpretation [2,3] basic equations of quantum mechanics for trans-temporal matrixes is possible to enter correctly enough concepts about one-dimensional lateralization:

Here attributes of quantum paradox peak-a-boo conditions are observed at macroscopical supervision. In SQT it is transition with amplification: microsuperposition => macrosuperposition. The principle of strengthening transforms superposition of conditions of a microsystem into a macrosystem at quantum measurements with formation of the confusing conditions with macroscopical quantity degrees of freedom. At amplification the peak-a-boo quantum system cooperates with other degrees of freedom with correlation quantum complication. Process proceeds with interaction of the increasing quantity of the systems including huge number of degrees of freedom. The resulting condition is interpreted, as superposition distinct conditions of macroscopical system [12-15].

|w(1) |A(0)> => |w(1) |A(1)>;

|w(2)> A(0)> => |w(2) |A(2)>. (9)

By virtue of linearity of the data chronooperators the initial condition c(1)|w(1)>+c(2)|w(2)> passes systems W in

{c(1)|w(1)> + c(2) |w(2)} x |A(0)> => c(1) |w(1) |A(1)> + c(2) |w(2) |A(2)>. (10)

Final expression (10) corresponds(meets) to the confusing condition of systems W and A, distributed on the greater number of systems with the expanded degrees of freedom A, B, C..., Z. Thus initial system W can cooperate only with some from them, distributing interaction on the others. And, the information on a condition of system W will be written down in conditions of all other considered systems. If to assume, that the condition of system W does not vary, and conditions of other systems differ between conditions |w(1)> and |w(2)> as a result of interaction transition will be possible

|w(1)> |A(0)> |B(0)> |C(0)>... |Z(0)> => |w(1)> |A(1)> |B(1)> |C(1)>... |Z(1)>;

|w(2)> |A(0)> |B(0)> |C(0)>... |Z(0)> => |w(2)> |A(2)> |B(2)> |C(2)>... |Z(2)>. (11)

Then by virtue of linearity of the operator of evolution superposition of conditions |w(1)> and |w(2)> systems W causes transition

{c(1) |w(1)> + c(2) |w(2)>} | |w(2)> |A(0)> |B(0)> |C(0)>... |Z(0)> =>

c(1) |w(1)> |A(1)> |B(1)> |C(1)>... |Z(1)> + c(2) |w(2)> |A(2)> |B(2)> |C(2)>... |Z(2)> = c(1) |w(1)> |a(1)> + c(2) |w(2)> |a(2)>. (12)

For the macrosystem participating in interaction there is a complication of system W with macroscopical system W(a), and superposition of two distinct conditions with the degrees of freedom described by various psi-functions and making mechanism of amplification is formed.

In SQT superposition is essential to systems with many degrees of freedom. For RQCP it staticizes statement of supervision of conditions of the systems consisting of macroquantity of elements. Experimental realization of this program will be that the system should be exception of peak-a-boo transformations into mixes for the account of chronoquantums. The plan of experiments here can include consecutive increase in quantum objects in system; deeper at the same time is necessary reinterpretation the macroquantum phenomena of superconductivity. So, in a superconducting ring effect can cause quantum superposition of counter currents.

|W> = c(1) |w(1)> |A(1)> + c(2) |w(2)> |A(2)>. (13)

The formula (13) defines the pure condition expressed by a vector of wave function; it also can be expressed in the form of a matrix of density. The isolated condition of system W is described with the reduced matrix of density equal to a trace of matrix R on degrees of freedom of an environment:

p = |c(1)|^2 |w(1) x w(1)| + |c(2)|^2 |w(2) x w(2)| + c(1) c(2)*| <A(2) |A(1)> |w(1) x w(2)| +

c(2) c(1)*| <A(1) |A(2)> |w(2) x w(1)|. (14)

If conditions |A(1)> and |A(2)> ìàêðîñêîïè÷åñêè are distinct, and their product ~ 0 (14) passes in

p = |c(1)|^2 |w(1) x w(1)| + |c(2)|^2 |w(2) x w(2)|. (15)

In SQT two types of conditions with adequate matrixes of density differ: own mixed conditions of the closed system for which it is not known in what from them there is a system; not own reduced mixed conditions at transition from the closed system to its subsystem. Distinction here is meaningful, if is experimentally supervised not only quantum system, but also its environment. The experimental base of system in the mixed condition does not identify its isolation with a mix describing incomplete knowledge or an openness owing to complication of system with an environment. The impossibility of skilled distinction of these two cases directly follows from that fact, that a prediction of all experiences, probable in the given system, are expressed through a matrix of density of same system.

where T(a), T(a,b), T(b), T(i), T(j) – temporal environments of final, transitive and intermediate conditions, accordingly. Complex interface of amplitudes of direct and return transitions from the point of view of not relativistic SQT is result of approach infinitesimal intervals of time. From (16) follows, that processes of intermediate localizations can be presented as

<T(b) |T(a)> = S <T(b) |T(i)> <T(i) |T(a)>;

where E, t – energy and time localizations; h(e), h(t) – energy and chronoquantum components; d(j,i) – Kronecker's delta.

On canons of SQT the system from a pure initial condition passes in the mixed condition owing to complication with an environment. In this case RQCP will consist in division quantum intervals of Plank’s scale for the pure and confusing conditions. In SQT superpositions of conditions of system are not present without its environment, and at interpretation the main sense is given to the self-coordinated superposition of a microsystem between its conditions in the past and the future. Here deep analogies between OLQT and RQCP since displays of quantum object forward and back on chronoquantum are accepted as an objective reality are looked through. If conditions |w(1)> and |w(2)> are orthogonal on SQT after complication all system with an environment passes in the mixed condition of superposition of two conditions. For the allocated classical quantum object it means, that it is in the mixed condition with probabilities - |c(1)|^2 - integrity and |c(2)|^2 – disintegration, thus the reason of occurrence distributions is superposition, instead of incomplete knowledge of conditions of system.