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Articles and Publication    Physics    Quantum physics MODEL LINEARIZATION OF QUANTUM CHRONODYNAMIC

MODEL LINEARIZATION OF QUANTUM CHRONODYNAMIC

© Oleg Orestovich Feygin

NARPA ISTR UASNP

Kharkov, Ukraine

Contact to the author: fond@online.kharkiv.com

www.temporology.boom.ru

www.geocites.com/fond_nauka

The dualism of phenomenological reinterpretation in model build-ups discrete temporalogy and quantum chronophysics demands attraction of lot approximation procedures. Among them methods of the homogeneous linearization are designated with simplicity and presentation. Their efficiency is evidently shown at the theoretical description of dynamics of localization of the material microscopic objects on allocated temporal shells of an existential continuum /ATSEC/.

The represented conferring is devoted to the analysis of methods of a model linearization in some special sections of quantum chronodynamic. The received effects are applied to the phenomenological description of the experimental effects, the bound with properties of a perfect vacuum.

In the previous operations [8, 9] reinterpret a series of the theoretical results received for mechanics of chronoquantums [1 - 5]. Identifications of the arbitrary states of

Psi-functions cumulative chronoquantum the ATSEC - localizations with various probability amplitudes were similarly explored [2, 3]. Further, it has been shown [6], that the probability amplitude of the basic transition from one ATSEC in another is equal to the total of products of amplitudes of the intermediate and terminating localizations direct and conjugates representation.

Analytical build-ups for probability amplitudes of ATSEC - localizations in an operational view [6] looked like

{T(b)} = <T(b)|T(a, b)|T(a)> = S <T(b)|T(i)> <T(i)|T(a, b)|T(j)> <T(j)|T(a)>; <T(b)|T(a)> = S <T(b)|T(b-a)>

<T(b-a)|T(a)>; <T(b)|T(a)> = <T(a)|T(b)>*; <T(b)|T(a ® 1, b ® ¥ )|T(a)> = <T(b)|T(S)|T(a)> = S <T(i)|T(S)|T(j)>

|T(a-1)> = <T(a-1, a)|T(a)>; <T(b)|T(a-1)> = <T(b)|T(a-1, a)|T(a)>; <T(i)|T(a-1)> = <T(i)|T(a-1, a)|T(a)>; (1)

where T(a), T(a. b), T(b), T(i), T(j) - the ATSEC of terminating, transition and intermediate states, accordingly; i = a, b-a, b, …, (b > a) - sequence the ATSEC. Probability amplitudes of processes the ATSEC of localizations (1) in a complex conjugate to amplitudes of return transitions and from the point of view of the nonrelativistic quantum-mechanical analysis represent result of approach for infinitesimal intervals of time. From relations (1) the opportunity of reinterpretation of decompositions on the intermediate the ATSEC - follows localization:

<T(i)|T(a-1)> = S <T(i)|T(a-1, a)|T(j)> <T(j)|T(a)>; T*(i, a-1) = S T*(i, j); |T(i)|^2 = const / {exp[ i E t / h(t) h(e)]} =

= IT[E(0), t(0)]|^2 / {exp[ i t / h(t)]}^[E / h(e)]; <T(b)|T(a)> = S <T(b)|T(i)> <T(i)|T(a)>; <T(j)|T(i)> = d(j,i);

<T(b)|T(j)> = S <T(b)|T(i)> <T(i)|T(j)>; (2)

where E, t - energy and time of existential localization; h(e), h(t) - energy - and chrono-quantum builders.

Identification of the complete plurality of strictly consecutive localizations on the ATSEC means terrain clearance determination of world lines of the material objects. It follows from blanket principles of chronodynamic digitization of plurality of physical events and can be reinterpreted, as

|T(b)> = S |T(i)> C(i); C(i) = <T(i)|T(b)>; |T(a)> = S |T(i)>D(i); D(i) = <T(i)|T(a)>; <T(a)|T(b)> = S D(i)* C(i); <T(b)|T(A)|T(a)> =

S <T(b)|T(i)> <T(i)|T(A)|T(j)> <T(j)|T(a)>; <T(b)|T(A)T(B)|T(a)> = S <T(b)|T(i)> <T(i)|T(A)|T(j)> <T(j)|T(B)|T(z)> <T(z)|T(a)>; (3)

here C(i), D(i) - pluralities of base quantum mechanical embodyings in chronoquantum representation for localizations on next the ATSEC; Т(А) and Т(В) - the allocated frames of reference. It is necessary to note, that the combined equations (9) illustrate a principle of chronodynamic's relativism, consisting in various levels of identification of a microscopic object depending on a view of temporal frames of reference. Formulas (2) and (3) it is possible to interpret the ATSEC through concept of probability amplitude of localization of some ATSEC.

The given amplitude can vary depending on a standing of object on direct the conditional time. Thus, the amplitude of each complete localization will be proportional to amplitudes of localizations on the next shells, increased on a series of weight coefficients:

T(b) = S <T(i)|U(b – a)|T(j)> T(a); U[T(b), T(a)] = d(i, j) – const H[T(a)] (b – a); T(b) = S {d(i, j) – const H[T(a)]

(b – a)} T(a); const [T(i) – T(i+1)] / h(t) = S H[T(a)] T(i); (4)

where U(a, b) = <b|U|a> - a matrix a trance-temporal of localization of the material object. In the most blanket sense of the equation (4) define chronodynamic of quantum-temporal mechanics. Radiating from the reinterpretations earlier received discrete-temporal [2, 3] the basic equations of a quantum mechanics for a trance-tempura's matrix it is possible to enter correctly enough concepts about the one-dimensional linearization of strictly consecutive plurality developing the ATSEC.

<T(b)|T(b-a)|T(a)> = <T(n+1)|T(n)|T(n-1)> => |T(b-a)> = S |T(n)> <T(n)|T(b-a)> = S |T(n)> C(n). (5)

Following traditional quantum-mechanical terminology, we shall consider, that the probability amplitude between strictly next localizations the ATSEC will make a trance - temporal of transition const i / h (t).

Doubtless interest represents distribution of principles chrono-quantum digitization of a continuum on a perfect vacuum, for example in representation of Dirac. Under the theory of Dirac of property of physical space were defined by empty space as a world material phone. In the modern quantum mechanics, all fundamental particles are considered as quantums of the relevant field structures that for physical system of empty space is interpreted, as plurality of fields without actual particles. It is known, that under laws of a quantum mechanics for any field oscillations are characteristic. In case of a perfect vacuum, it will be zero oscillations accompanying with a birth and disappearance of virtual particles, relevant to the nature of each concrete field. Performance of the general law of conservation of energy demands for the given virtual particles of observance of fundamental property of the key not observability for the account of specifically short lifetime. According to principles of chrono-quantum physics, it can mean presence a trance-virtual localization on the time equal-distance parting next ATSEC. Radiating from the modern experimental datas of an elementary particle physics, the upper bound of similar intervals of time-virtual delocalization can be estimated in 10^(-20) seconds. Macroscopical display of the virtual properties of a perfect vacuum by probably only mediate fashion in effects of Lamb detrusion of levels of lines of atoms, attractions of plates in the severe empty space, the abnormal moment of magnet of electrons and interaction of quantums.

The received effects (3 - 5) for a chrono-dynamic linearization of localization of microscopic objects in view of influence of virtual particles of a perfect vacuum will get a final view (5):

<T(b)|X|T(b-a)|Y|T(a)> = <T(n+1)|T(n+1/2)|T(n)|T(n-1/2)|T(n-1)>; (6)

where X and Y – trans-temporal factors of the virtual localization; T(n+1/2) and T(n-1/2) - relevant the virtual the ATSEC. Such a fashion, the virtual properties of a perfect vacuum it is possible to feature in terms a trance–temporal dynamic localization, switching it in the blanket plan of digitization.

It is necessary to note, that virtual particles, on the modern physical representations, arise not only in empty space. They constantly arise and disappear near to fundamental particles and at their interaction. Thus, the virtual partial electrocharges influence the virtual positrons and electrons, polarizing environmental empty space. Because of polarization of empty space around of charged particles, the bound is created with them the structural pulsatory charged shell reducing their effective charges, shown in interspatial interactions. All this confirms necessity of introduction of the virtual the ATSEC, for their participation in interpretation of chrono-physical digitization.

REFERENCES

1. Feygin O.O. Discrete - temporal model of Universe // SciTecLibrary. com. 2003. - http://www.sciteclibrary.ru/eng/catalog/pages/5159.html

2. Feygin O.O. Discrete principles of quantum chronodynamic // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5200.html

3. Feygin O.O. Quantum-theoretical chrono-discretization // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5201.html

4. Feygin O.O. Cosmological principles of quantum chronophysics // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5296.html

5. Feygin O.O. Chronodynamic reinterpretation of Planck’s lengths // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5348.html

6. Feygin O.O. Temporal quantum functionals // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5658.html

7. Feygin O.O. Concepts of quantums chronophysics // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5813.html

8. Feygin O.O. Mechanics of chrono-quantums // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/5978.html

9. Feygin O.O. Quantum temporallogy // Ibid. - http://www.sciteclibrary.ru/eng/catalog/pages/6375.html

Publishing date: February 17, 2004
Source: SciTecLibrary.ru

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