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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