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The formal-logic analysis of an interior content of quantum concept’s allows assuming its dual structure. On the one hand, it discretely temporal component is comparable to chronoquantum concepts, and with another - energy-dependent quantum component. If to accept existence of a fundamental spatial equidistant length [1, 2] that it, together with a velocity of light and a fundamental temporal equal-distance - chrono-quantum, will make trivial ensemble of constants, defining a metric lattice of an existential continuum. Dynamics of a similar continuum’s development assumes of presence quantum tensor’s generator of shift on time. In such approach, time is divided on dynamically observable explanatory variable and a not observable absolute component, defining determination of events in configuration space of the shift's generator. In the present brief review, various aspects of chronodynamic modelling digitization [5-10] in boundaries of standard quantum-theoretical representations [1-4] are considered.

Principles of quantum chronodynamic are based on the trivial relations following from operations of chrono-digitization for an energy functional and connecting frequency of radiation with variations of its energy. Accordingly, there are chosen components of chrono-quantum and energy-quantum, and establishing ration: the modification of energy / frequency will be equal to their product h(e) and h(t):

E / w = h = h(e) h(t). (1)

Let us apply the entered concepts to a classical image of a quantum mechanical oscillator with a discrete gang of oscillation’s energies [1]:

E(i) = i h(e) h(t) w, i = 0, 1, 2, 3, …, n, (2)

The thermodynamic probability of their realization will make [1, 4]:

W(i) = W(0) exp[-i h(e) h(t) w / kT], i = 0, 1, 2, 3, …, n, (3)

where kT - thermodynamic temperature.

Let us enter formal definition for magnitude of chrono-quantum through probability of microscopic event’s realization as temporal localization during the chosen interval [6, 7]:

h(t) = [lnW(0) - lnW(t) kT] / [i v h(e)], (4)

where expression W(t) = exp[h(t) w] determines probability of temporal localization. From the obtained formula follows, that probability for definite microevent is determined by a difference of localizations of prior and subsequent events to a chrono-quantum scale of their development.

Transferring to a wave mechanics, we compare to arbitrary micro-plant amplitude of a ψ-wave, satisfying a wave equation in chronodynamic representation [7, 9]:

Δψ + const m (E-U) ψ / [h(t) h(e)]² = 0. (5)

The obtained relation corresponds to the standard form of stationary Schrödinger equations. Hence, if to follow traditional interpretation intensity of a psi-wave in each point of space corresponds probabilities of microscopic object’s presence in the chosen microvolume, referred to magnitude of this microvolume.

Thus, if to start with reinterpretation of quantum mechanical relations according to the equation (5) establishing principle of indeterminacy for coordinate x and impulse p gains the following aspect:

Δx Δp ~ h(e) h(t); Δx m Δv = m Δx Δdx / dt = m Δ²x / [i h(t)]; m Δ²x ~ h(e) [i h(t)]²; ΔE Δt ~ h(e) h(t). (6)

Relations (6) define probability of joint localization chosen conditionally normalized stream of energy ΔE = j h(e) in a time interval Δt = i h(t). The linearized task for driving quantum microobject on the limited site of a probability trajectory passes in

d²ψ / dq² + const E ψ / [h(e) h(t)]² = 0; ψ = ψ(0) sin{const q Ö E / [h(e) h(t)]}; const q(0) Ö E / [h(e) h(t)] = i+1. (7)

Expression (7) defines conditions of digitization for a nonrelativistic energy of microobject as a composition of chrono-quantum numbers. Having determined boundary criteria of existential localization, it is possible to compare digitization of psi-function’s variation to the appropriate values of dynamic variables. Then possible modelling representations of Schrödinger equation’s solutions will reinterpret, as temporal localizations on the chosen temporal envelopes [9, 10]. It is similar to original diffraction process on knots of a virtual lattice in space of determined events.

The concepts of quantum chrono-digitization essentially expands reinterpretations of a classical image of the Planck length entering, as a scale of a quantum field theory and quantum chrono-dynamics in various theories of super-gravitational join [9]:

l(p) = c* h(t) = c* h(t) h(e) / E, (8)

where c* - velocity of cosmological magnification of the metric of physical space; Å - energy of localization. The formula (8) is easy for receiving from principles of a wave mechanics:

l(p) = h / mv = h(t) h(e) w / mv² = c* h(t) h(e) / E. (9)

Here it is made two essential assumptions, at first, it is supposed, that the velocity of metric expansion is a fundamental limit in physical space. Its value is close to a velocity of light and limits it from above, so v < c < c*.

The principle of an extension of a definition of Planck length is under construction on the supposition about full correspondence of a quantum image of wavelength and is fundamental-metric equal-distance of cosmological expansion by duration in chrono-quantum gap [5, 8]. Similar reinterpretation of a classical Planck standard brings to logic is graduated-permanent phase passage. The concept spatially temporal correlation function of the metric in this case takes place:

C(l, t) = < F[l(p), h(t)] F(l, t) >. (10)

Expression (10) determines probability of quantum passage in time and space t => t + h(t), l => l + l(p).

The modern theories of space-time’s super-symmetric also use concept Planck’s lengths [3, 5], as the super-gravitational gauge uniting all known four interactions. Thus, modelling-quantum chrono-digitization reinterprets as process of oscillation of unitary time shells with world lines in the linear space of actual physical events. The originality of a kinetics such time-like macroprocess, consists available uniform and strictly continuous sequence of chrono-quantum continuum, generated in an index point of a cosmological singularity.

Thus, the theory of quantum-theoretical chrono-digitization contains modelling representations about fundamental restrictions for a velocity of distribution of physical processes, a metric equal-distance of spatial localization - Planck length and is correlative-metric function of cosmological phase passage. The development of the given modelling representations includes the discrete analysis of super-symmetric scale-dimensional passages. As against an overwhelming majority of modern projective uniform, field theories the considered time-like model may be spread and to trance-singular area of events. In this case trance-singular and sub-singular conditions of temporal envelopes are characterized by various spatial symmetries, to similarly standard n-dimensional formalism in (n+1)-dimensional space. Here process of origin of a singularity of the Big Bang will be comparable with a permanent emanation of the energy selected at phase passages of spatial metrics.

In summary, it is necessary to note, that the entered circuit discretely-temporally models of space-time has also more concrete mathematical form from which the outcomes giving rather satisfactory combination to substantive provisions of a standard relativistic quantum electrodynamics imply.

REFERENCES

1. Audi M. The Interpretation of Quantum Mechanics. – Chicago: The University of Chicago Press, 1973.
2. Slater J.C. Concepts and Development of Quantum Physics. – New York: Dover Publications, 1969.
3. Davies P.C. W. Space and Time in the Modern Universe. – New York: Cambridge University Press, 1977.
4. Aspects of Quantum Theory / Ed. A. Salam, E. Wigner. - Cambridge.: CUP, 1972.
5. Feygin O.O. Discrete-Temporal Model of Universe. // SciTecLibrary.com.2003.- http://www.sciteclibrary.ru/eng/catalog/pages/5159.html
6. Feygin O.O. Discrete principles of quantum chronodynamic. // Ibid.- http://www.sciteclibrary.ru/eng/catalog/pages/5200.html
7. Feygin O.O. Quantum-theoretical chrono-discretization. // Ibid.- http://www.sciteclibrary.ru/eng/catalog/pages/5201.html
8. Feygin O.O. Cosmological principles of quantum chronophysics. // Ibid.- http://www.sciteclibrary.ru/eng/catalog/pages/5296.html
9. Feygin O.O. Chronodynamic reinterpretation of Planck’s lengths. // Ibid.-  http://www.sciteclibrary.ru/eng/catalog/pages/5348.html
10. Feygin O.O. Temporal quantum functionals. // Ibid.- http://www.sciteclibrary.ru/eng/catalog/pages/5658.html

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