On some developments in the Nonsymmetric Kaluza–Klein Theory

Kalinowski, M. W.

doi:10.1140/epjc/s10052-014-2742-5

Cited by 6 publications

(46 citation statements)

References 61 publications

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“…In the paper we do not mention some “modern” Kaluza–Klein developments for the reason described in Conclusion of Ref. which we do not repeat here.…”

Section: Introductionmentioning

confidence: 93%

“…

(n + 4)

‐dimensional, where

n = dim G

, G is a gauge group for a Yang–Mills' field, which is a semisimple Lie group (non‐Abelian). In an electromagnetic case we have

G = U (1)

and a unification is in 5‐dimensional world (see also ). The unification has been achieved via a natural nonsymmetric metrization of a fiber bundle.…”

Section: Introductionmentioning

confidence: 99%

“…The theory considered here is non‐Abelian and even if there are some formulations similar to those from Ref. one should remember that the theory described in Ref. is an Abelian theory with

U (1)

group.…”

Section: Introductionmentioning

confidence: 99%

“… one should remember that the theory described in Ref. is an Abelian theory with

U (1)

group. The difference is profound not only because a higher level of mathematical calculations but also because of completely new features which appear in a non‐Abelian theory.…”

Section: Introductionmentioning

confidence: 99%

“…Summing up, the paper contains many novel features (without repetition of heavy calculations from Ref. : (1)Hermitian versions (complex and hypercomplex) in the case of

U (1)

and a general non‐Abelian semisimple group G also in the case with spontaneous symmetry breaking and Higgs' mechanism. (2)Solutions of constraints appearing in the theory (also in all considered versions). (3)Detailed calculations of a classical dielectric model of confinement of color (a non‐Abelian gauge charge). (4)Spectrum of masses for broken gauge bosons and scalar (Higgs') particles in a general case. (5)An application to bosonic part of GSW model, where we get masses for

W^{\pm}

, Z 0 and Higgs' boson agreed with experiment. In the last case this is possible only for an Hermitian complex version on S 2 and invokes some new research connecting the theory to Kählerian structures. (6)A Kerner–Wong–Kopczyński equation in GSW model with some additional charges coupled a test particle in a motion to Higgs' field (this one from the Standard Model). (7)Additional (non‐classical) interaction of a Higgs' field (from the Standard Model) with gravity (described by NGT) and also additional Higgs' phenomena in SM. (8)A possibility to tune a cosmological constant to the value obtained from observational data. …”

Section: Introductionmentioning

confidence: 99%

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The Nonsymmetric Kaluza-Klein Theory and Modern Physics A Novel Approach

Kalinowski

2015

Fortschr. Phys.

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We consider in the paper the Nonsymmetric Kaluza-Klein Theory finding a condition for a color confinement in the theory. We consider also a Kerner-Wong-Kopczyński equation in this theory. The Nonsymmetric Kaluza-Klein Theory with a spontaneous symmetry breaking and Higgs' mechanism is examined. We find a mass spectrum for a broken gauge bosons and Higgs' particles. We derive a generalization of Kerner-Wong-Kopczyński equation in the presence of Higgs' field. A new term in the equation is a generalization of a Lorentz force term for a Higgs' field. We consider also a bosonic part of GSW (Glashow-Salam-Weinberg) model in our theory, getting masses for W , Z bosons and for a Higgs' boson agreed with an experiment. We consider Kerner-Wong-Kopczyński equation in GSW model obtaining some additional charges coupled to Higgs' field.

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“…In the paper we do not mention some “modern” Kaluza–Klein developments for the reason described in Conclusion of Ref. which we do not repeat here.…”

Section: Introductionmentioning

confidence: 93%

“…

(n + 4)

‐dimensional, where

n = dim G

, G is a gauge group for a Yang–Mills' field, which is a semisimple Lie group (non‐Abelian). In an electromagnetic case we have

G = U (1)

and a unification is in 5‐dimensional world (see also ). The unification has been achieved via a natural nonsymmetric metrization of a fiber bundle.…”

Section: Introductionmentioning

confidence: 99%

“…The theory considered here is non‐Abelian and even if there are some formulations similar to those from Ref. one should remember that the theory described in Ref. is an Abelian theory with

U (1)

group.…”

Section: Introductionmentioning

confidence: 99%

“… one should remember that the theory described in Ref. is an Abelian theory with

U (1)

group. The difference is profound not only because a higher level of mathematical calculations but also because of completely new features which appear in a non‐Abelian theory.…”

Section: Introductionmentioning

confidence: 99%

“…Summing up, the paper contains many novel features (without repetition of heavy calculations from Ref. : (1)Hermitian versions (complex and hypercomplex) in the case of

U (1)

W^{\pm}

Section: Introductionmentioning

confidence: 99%

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The Nonsymmetric Kaluza-Klein Theory and Modern Physics A Novel Approach

Kalinowski

2015

Fortschr. Phys.

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Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory

Kalinowski

2015

Fortschritte der Physik

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The Nonsymmetric Kaluza–Klein (Jordan–Thiry) Theory leads to a model of a modified acceleration that can fit an anomalous acceleration experienced by the Pioneer 10 and 11 spacecraft. The future positions of those spacecrafts are predicted using distorted hyperbolic orbit. A connection between an anomalous acceleration and a Hubble constant is solved in the theory together with a relation to a cosmological constant in CDMΛ model. In the paper we consider an exact solution of a point mass motion in the Solar System under an influence of an anomalous acceleration. We find two types of orbits: periodic and chaotic. Both orbits are bounded. This means there is no possibility to escape from the Solar System. Some possibilities to avoid this conclusion are considered. We resolve also a coincidence between an anomalous acceleration and the cosmological constant using a paradigm of modern cosmology. Relativistic effects and a cosmological drifting of a gravitational constant are considered. The model of an anomalous acceleration does not cause any contradiction with Solar System observations. We give a full statistical analysis of the model. We consider also a full formalism of the Nonsymmetric Jordan–Thiry Theory for the problem and present a relativistic model of an anomalous acceleration. We consider the model for General Relativity approximation, i.e. gμν≠ημν (gμν=gνμ). In this model there are no contradictions with General Relativity tests in the Solar System. Pioneer 10/11 spacecrafts will come back in 106 years (a time scale of our periodic solutions is 106 years). Moreover, almost relativistic or relativistic spacecrafts can escape from the Solar System. We consider also a model of a relativistic acceleration which is more complicated, with gμν≠gνμ taken into account.

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