Gravity as a Finslerian Metric Phenomenon

Barletta, Elisabetta; Dragomir, Sorin

doi:10.1007/s10701-011-9614-8

Cited by 12 publications

(23 citation statements)

References 27 publications

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“…Here in almost all usual textbooks on QED and field theory, his extension published in 1962 is mentioned rarely (cf., [39]). 2 [22] studies also the metric of Dirac's field theory with kinematic conditions, in a similar, but also a little bit different context. simpler than we expected, while the velocity dependence is transferred to the components of the D field.…”

Section: The Curvature Of the Connection Fieldmentioning

confidence: 99%

Electromagnetic Interaction in the Presence of Isotopic Field-Charges and a Kinetic Field

Darvas¹

2013

Int J Theor Phys

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This paper is a continuation of the article "The Isotopic Field-Charge Assumption Applied to the Electromagnetic Interaction". It continues the discussion and consequences of the extended Dirac equation in the presence of isotopic mass and electric charges, and a kinetic gauge field. In compliance with the author's previous papers (Darvas 2009, IJTP 2011, IJTP 2013), there appears a second conserved Noether current in the interaction between two electric charges in the presence of isotopic electric charges and a kinetic field.This second conserved current involves the conservation of the isotopic electric charge spin, and that predicts the existence of quanta of the kinetic field (dions associated with the photons). It is concluded that with the discussed conditions, the electromagnetic interaction should be mediated by photons and their dion partners together. The conclusions give physical meaning, among others, to the electric moment and to a virtual coupling spin.

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Section: The Curvature Of the Connection Fieldmentioning

confidence: 99%

Electromagnetic Interaction in the Presence of Isotopic Field-Charges and a Kinetic Field

Darvas¹

2013

Int J Theor Phys

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“…Assume that the projective map f is also conformal, with conformal factor e σ . Then, a direct calculation using (7) shows that:…”

Section: Conformal Maps Between Locally Minkowski Spacesmentioning

confidence: 99%

“…Among the applications of (pseudo-)Finsler geometry, field-theoretical ones are the most numerous, e.g., [5], [7], [10], [16], [20], [22], [21], [28], [31]. But these applications typically require metrics to be of Lorentzian signature.…”

Section: Introductionmentioning

confidence: 99%

Conformal maps between pseudo-Finsler spaces

Voicu

2017

Int. J. Geom. Methods Mod. Phys.

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The paper aims to initiate a systematic study of conformal mappings between Finsler spacetimes and, more generally, between pseudo-Finsler spaces. This is done by extending several results in pseudo-Riemannian geometry which are necessary for field-theoretical applications and by proposing a technique which reduces a series of problems involving pseudo-Finslerian conformal vector fields to their pseudo-Riemannian counterparts. Also, we point out, by constructing classes of examples, that conformal groups of flat (locally Minkowskian) pseudo-Finsler spaces can be much richer than both flat Finslerian and pseudo-Euclidean conformal groups

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“…4 We can construct the Lagrangian of the interacting coupled two-electron system in the fields of each other from this Hamiltonian. Due to the two kinds of charges, this L differs 3 Later, Dirac [29] considered that the classical theories of electromagnetic field are approximate and are valid only if the accelerations of the electrons are small. He stated that the earlier problems of QED resulted not in quantization, rather in the incompleteness of the classical theory of electrons, and one must try to improve on it.…”

Section: The Fourth and Fifth Terms Include Rotmentioning

confidence: 99%

The Isotopic Field-Charge Assumption Applied to the Electromagnetic Interaction

Darvas¹

2013

Int J Theor Phys

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This paper applies the isotopic field-charge spin theory (Darvas, IJTP 2011) to the electromagnetic interaction. First there is derived a modified Dirac equation in the presence of a velocity dependent gauge field and isotopic field charges (namely Coulomb and Lorentz type electric charges, as well as gravitational and inertial masses). This equation is compared with the classical Dirac equation. There is shown that, since the presence of isotopic fieldcharges would distort the Lorentz invariance of the equation, there is a transformation, which together with the Lorenz transformation restores the invariance of the equation, in accordance with the conservation of the isotopic field-charge spin (Darvas, 2009). The paper discusses the conclusions derived from the extensions of the Dirac equation. It is shown that in semiclassical approximation the model provides the original Dirac equation, and at significantly relativistic velocities it approaches to the Schrödinger equation. Among other conclusions, the clue gives physical meaning to the electric moment. The closing section summarises a few further conclusions and shows a few developments to be discussed in detail in a next paper (Darvas, 2013). A J J A J A what demonstrates an analogy with our formula derived in [22] based on the findings in this paper. Note also that the potential (Coulomb) charges behave like corpuscles, while the kinetic (Lorentz type) charges like waves [16]. This complementary double behaviour (formulated first by Bohr in 1927, then discussed in 1937 [5]) became subject of studies again (cf., [41]).

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Gravity as a Finslerian Metric Phenomenon

Cited by 12 publications

References 27 publications

Electromagnetic Interaction in the Presence of Isotopic Field-Charges and a Kinetic Field

Electromagnetic Interaction in the Presence of Isotopic Field-Charges and a Kinetic Field

Conformal maps between pseudo-Finsler spaces

The Isotopic Field-Charge Assumption Applied to the Electromagnetic Interaction

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