Pre-Metric Electromagnetism as a Path to Unification

Delphenich, D. H.

doi:10.1142/9789814719063_0023

Cited by 10 publications

(10 citation statements)

References 17 publications

(30 reference statements)

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“…Although Maxwell theory is capable for describing different phenomena in classical electrodynamics, it is not flawless and has some fundamental problems [86,87]. In order to solve these problems, we can generalize Maxwell theory to the case of NED [76][77][78][79][80][81][82][83][84][85][86][87][88].…”

Section: Btz and Asymptotically Btz Gravity's Rainbowmentioning

confidence: 99%

Asymptotically charged BTZ black holes in gravity’s rainbow

Hendi

2016

Gen Relativ Gravit

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Motivated by the wide applications of BTZ black holes and interesting results of gravity's rainbow, we consider three dimensional rainbow solutions and investigate their thermodynamic properties. In addition to investigate black holes thermodynamics related to AdS/CFT correspondence, one may regard gravity's rainbow to encode quantum gravity effects into the black hole solutions. We take into account the various models of linear and nonlinear electrodynamics and study their effects on the gravity's rainbow spacetime. We also examine thermal stability and find that obtained three dimensional rainbow black holes are thermally stable.

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Section: Btz and Asymptotically Btz Gravity's Rainbowmentioning

confidence: 99%

Asymptotically charged BTZ black holes in gravity’s rainbow

Hendi

2016

Gen Relativ Gravit

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“…The premetric approach of electrodynamics has also been developed over the years by Delphenich [30,31,32] and, more recently, by Cabral & Lobo [18]. Rumpf [144] and Zhang et al [176], for instance, discuss realistic engineering applications for (110,111), but without using the the skewon part.…”

Section: (109)mentioning

confidence: 99%

On Kottler's path: Origin and evolution of the premetric program in gravity and in electrodynamics

Hehl

Itin

Obukhov

2016

Int. J. Mod. Phys. D

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In 1922, Kottler put forward the program to remove the gravitational potential, the metric of spacetime, from the fundamental equations in physics as far as possible. He successfully applied this idea to Newton's gravitostatics and to Maxwell's electrodynamics, where Kottler recast the field equations in premetric form and specified a metric-dependent constitutive law. We will discuss the basics of the premetric approach and some of its beautiful consequences, like the division of universal constants into two classes. We show that classical * Based on an invited talk given at the Annual Meeting of the German Physical Society (DPG) in Berlin on 20 March 2015, "Working Group on Philosophy of Physics (AGPhil)". We sincerely thank Dennis Lehmkuhl (Wuppertal, now Pasadena) and his co-organizers Meinard Kuhlmann (Mainz) and Wolfgang Pietsch (Munich) [92] for the invitation. In the present version, we appreciably enriched our text by adding more formalism. We apologize to the philosophers for any inconvenience. A short version of this paper will be submitted to the International Journal of Modern Physics D.

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“…From a phenomenological point of view, this is desirable anyway, since the excitation has an operational definition of its own, namely as charge/length 2 (D) and current/length (H), respectively, which is independent from the definition of the field strength as force/charge (E) and force/current (B). For a rendition in the calculus of exterior differentiable forms, one can compare with the axiomatic scheme in [35] and [18], see also [19].…”

Section: The Premetric Maxwell Equationsmentioning

confidence: 99%

“…determines a Fresnel wave surface. A trivial test for checking the correctness of (19) is to substitute the response tensor for the Maxwell-Lorentz vacuum electrodynamics (13) 1 into the TR-tensor of (19). One finds straightforwardly (g i j q i q j ) 2 = 0, that is, two light cones that collapse onto each other.…”

Section: Fresnel Wave Surfacementioning

confidence: 99%

Axion and Dilaton + Metric Emerge Jointly from an Electromagnetic Model Universe with Local and Linear Response Behavior

Hehl

2016

Fundamental Theories of Physics

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We take a quick look at the different possible universally coupled scalar fields in nature. Then, we discuss how the gauging of the group of scale transformations (dilations), together with the Poincaré group, leads to a Weyl-Cartan spacetime structure. There the dilaton field finds a natural surrounding. Moreover, we describe shortly the phenomenology of the hypothetical axion field. -In the second part of our essay, we consider a spacetime, the structure of which is exclusively specified by the premetric Maxwell equations and a fourth rank electromagnetic response tensor density χ i jkl = −χ jikl = −χ i jlk with 36 independent components. This tensor density incorporates the permittivities, permeabilities, and the magneto-electric moduli of spacetime. No metric, no connection, no further property is prescribed. If we forbid birefringence (double-refraction) in this model of spacetime, we eventually end up with the fields of an axion, a dilaton, and the 10 components of a metric tensor with Lorentz signature. If the dilaton becomes a constant (the vacuum admittance) and the axion field vanishes, we recover the Riemannian spacetime of general relativity theory. Thus, the metric is encapsulated in χ i jkl , it can be derived from it.file CarlBrans80 08.This gauging of the P(1, 3) extends the geometrical framework of gravity. The 4 translational potentials e i α and the 6 Lorentz potentials Γ i αβ = −Γ i β α span a Riemann-Cartan spacetime, enriching the Riemannian spacetime of GR by the presence of Cartan's torsion; here α, β = 0, 1, 2, 3 are (anholonomic) frame indices. Whereas the translational potentials couple to the canonical energy-momentum ten-2 We skip here the plethora of scalar mesons, π ± , π 0 , η, f 0 (500), η ′ (958), f 0 (980), a 0 (980), ...,they are all composed of two quarks. Thus, the scalar mesons do not belong to the fundamental particles.

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Pre-Metric Electromagnetism as a Path to Unification

Cited by 10 publications

References 17 publications

Asymptotically charged BTZ black holes in gravity’s rainbow

Asymptotically charged BTZ black holes in gravity’s rainbow

On Kottler's path: Origin and evolution of the premetric program in gravity and in electrodynamics

Axion and Dilaton + Metric Emerge Jointly from an Electromagnetic Model Universe with Local and Linear Response Behavior

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