On the History of Unified Field Theories. Part II. (ca. 1930–ca. 1965)

Goenner, Hubert

doi:10.12942/lrr-2014-5

Cited by 55 publications

(57 citation statements)

References 358 publications

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“…(11) An exact formula (a covariant one) for a torsion in higher dimension Q a μν (Γ ) with an interpretation as a polarization of gauge field induced by g μν and ab . (12) In the case of spontaneous symmetry breaking and Higgs' mechanism, i.e. for a Kaluza-Klein Theory with a dimensional reduction we get analogous formulas for L añb , L a μb in terms of a Higgs' field Φ ã a and a covariant derivative gauge ∇ μ Φ ã a of the field.…”

Section: Progress Of Physicsmentioning

confidence: 88%

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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Section: Progress Of Physicsmentioning

confidence: 88%

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

Kalinowski

2015

Fortschr. Phys.

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“…Even if fully geometrical in nature, this extension can be presented as a theory of the covariant fields F hi1...in (x) for n = 2 in the Riemannian background provided by the metric l ij (x). In this respect the theory is radically different from the Finslerian unification attempts of the past [21,22] and from the more recently proposed Finslerian spacetime theories [23,24,25,26,27,28].…”

Section: Discussionmentioning

confidence: 72%

On the Jacobi metric for a general Lagrangian system

Maraner

2019

Journal of Mathematical Physics

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An explicit expression for the Jacobi metric for a general Lagrangian system is obtained as a series expansion in the square root of the kinetic energy of the system and the corresponding geodesics are described in terms of an appropriate non-linear connection and the associated curvature. In the limit of low kinetic energies the trajectories of motion of any Lagrangian system are very well approximated by the geodesics of an energy dependent Randers metric or, equivalently, by the paths in configuration space of a representative point subject to electromagnetic-and gravitational-like force fields. For higher kinetic energy values the trajectories of motion are instead the geodesics of a general energy dependent Finsler metric, corresponding also to the paths in configuration space of a representative point subject to a hierarchy of a potentially infinite number of covariant force fields that generalise the electromagnetic and gravitational ones. Some general implications of these findings are discussed.

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“…Now, instead of the subscript R we decided here to write the subscript o. This sign associates with the circulation around the closed loop as written in the circulation integral (31). The subscript s points to existence of a scalar field S. The velocity v s is proportional to gradient of this field, S means the action function.…”

Section: Quaternion Representationmentioning

confidence: 99%

Quaternion Algebra on 4D Superfluid Quantum Space-Time: Gravitomagnetism

Sbitnev

2019

Found Phys

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Gravitomagnetic equations result from applying quaternionic differential operators to the energy-momentum tensor. These equations are similar to the Maxwell's EM equations. Both sets of the equations are isomorphic after changing orientation of either the gravitomagnetic orbital force or the magnetic induction. The gravitomagnetic equations turn out to be parent equations generating the following set of equations: (a) the vorticity equation giving solutions of vortices with nonzero vortex cores and with infinite lifetime; (b) the Hamilton-Jacobi equation loaded by the quantum potential. This equation in pair with the continuity equation leads to getting the Schrödinger equation describing a state of the superfluid quantum medium (a modern version of the old ether); (c) gravitomagnetic wave equations loaded by forces acting on the outer space. These waves obey to the Planck's law of radiation.Keywords superfluid quantum vacuum · gravitomagnetic · electromagnetism · wave function · vorticity · vortex · cosmic microwave radiation 1 Introduction Roger Penrose in his earlier works [65,66] has proposed the formalism of twistor algebra where four parameters of the space-time, t, x, y, z, by amazing manner find accordance with spinor group SU(2). Twistor theory was originally proposed as a new geometric framework for physics that aims to unify general relativity and quantum mechanics [6]. An unexpected interconnection between

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On the History of Unified Field Theories. Part II. (ca. 1930–ca. 1965)

Cited by 55 publications

References 358 publications

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

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

On the Jacobi metric for a general Lagrangian system

Quaternion Algebra on 4D Superfluid Quantum Space-Time: Gravitomagnetism

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