On the Galilean non-invariance of classical electromagnetism

Preti, Giovanni; Felice, F. de; Masiero, Luca

doi:10.1088/0143-0807/30/2/017

Cited by 33 publications

(19 citation statements)

References 21 publications

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“…For a detail proof see "On the Galilean non-invariance of classical electromagnetism" Preti et al 136. This is an excellent read 4.…”

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confidence: 94%

Observational constraints on dark energy cosmological model parameters

Farooq

2013

Preprint

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The expansion rate of the Universe changes with time, initially slowing (decelerating) when the universe was matter dominated, because of the mutual gravitational attraction of all the matter in it, and more recently speeding up (accelerating). A number of cosmological observations now strongly support the idea that the Universe is spatially flat (provided the dark energy density is at least approximately time independent) and is currently undergoing an accelerated cosmological expansion. A majority of cosmologists consider "dark energy" to be the cause of this observed accelerated cosmological expansion.The "standard" model of cosmology is the spatially-flat ΛCDM model. Although most predictions of the ΛCDM model are reasonably consistent with measurements, the ΛCDM model has some curious features. To overcome these difficulties, different Dark Energy models have been proposed. Two of these models, the XCDM parametrization and the slow rolling scalar field model φCDM, along with "standard" ΛCDM, with the generalization of XCDM and φCDM in non-flat spatial geometries are considered here and observational data are used to constrain their parameter sets.In this thesis, we start with a overview of the general theory of relativity, Friedmann's equations, and distance measures in cosmology. In the following chapters we explain how we can constrain the three above mentioned cosmological models using three data sets: measurements of the Hubble parameter H(z), Supernova (SN) apparent magnitudes, and the baryonic acoustic oscillations (BAO) peak length scale, as functions of redshift z. We then discuss constraints on the deceleration-acceleration transition redshift z da using unbinned and binned H(z) data. Finally, we incorporate the spatial curvature in the XCDM and φCDM model and determine observational constraints on the parameters of these expanded models.

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“…For a detail proof see "On the Galilean non-invariance of classical electromagnetism" Preti et al 136. This is an excellent read 4.…”

mentioning

confidence: 94%

Observational constraints on dark energy cosmological model parameters

Farooq

2013

Preprint

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“…An alternative derivation of the Galilean transformation of electric and magnetic fields is possible by considering the Lorentz force law (Preti et al, 2009;Heras, 2010). The Lorentz force in inertial reference frame A is given by:…”

Section: The Principle Of Galilean Relativity In Electrodynamicsmentioning

confidence: 99%

“…Although an Earth fixed frame is not inertial, the small acceleration in this frame is typically ignored for the purposes of these estimates. -Leblond, 1973;Preti et al, 2009;Heras, 2010). Second, currents in a moving reference frame that arise from accumulated charges in the original frame do not generate magnetic fields (Le Bellac and Lévy-Leblond, 1973).…”

Section: The Principle Of Galilean Relativity In Electrodynamicsmentioning

confidence: 99%

Using the Galilean Relativity Principle to Understand the Physical Basis for Magnetosphere-Ionosphere Coupling Processes

Mannucci

McGranaghan

Meng

et al. 2019

Preprint

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Abstract. We use the Principle of Galilean Relativity (PGR) to gain insight into the physical basis for magnetosphere-ionosphere coupling. The PGR states that the laws of physics are the same in all inertial reference frames, considering relative speeds between such reference frames that are significantly less than the speed of light. The PGR is a limiting case of the principle of Special Relativity, the latter applicable to any relative speeds between two inertial reference frames. Although the PGR has been invoked in past works related to magnetosphere-ionosphere coupling, it has not been fully exploited for the insights it can provide into such topics as large-scale ionospheric convection and high latitude heating. In addition, the difficulties of applying the PGR to electrodynamics has not been covered. The PGR can be used to show that in the high latitude ionosphere there often exists a reference frame where electric fields vanish at lower altitudes where collisions are important (altitudes near ~ 100–120 km). In this reference frame, it is problematic to assert that currents of magnetospheric origin cause horizontal electric fields in the ionosphere, as has been suggested for the causal origin of Subauroral Polarization Stream electric fields. Electric fields have also been invoked as the causal origin of large-scale ionospheric convection, which may be a problematic assertion in certain reference frames. The PGR reinforces the importance of the neutral species and ion-neutral collisions in magnetosphere-ionosphere coupling, which has been noted by several authors using detailed multi-species plasma calculations. A straightforward estimate shows that the momentum carried by electron field aligned currents of magnetospheric origin during disturbed periods is much less than the momentum changes experienced by the neutral species in an Earth-fixed frame. The primary driver of neutral species momentum changes during disturbed periods is the momentum imparted by the solar wind to ionospheric ions resulting from electrodynamic interactions. This is consistent with the idea that electric fields do not lead to large scale ionospheric convection.

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“…(12) turns out to be invariant under Eqs. (20) and (21). We define the electric limit of Maxwell's equations as the modification of Eq.…”

Section: Electric and Magnetic Limitsmentioning

confidence: 99%

“…(21). The interpretation of Eqs (21). and (34) is distinct because they were obtained from different equations [Eqs.…”

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confidence: 99%

The Galilean limits of Maxwell’s equations

Heras¹

2010

American Journal of Physics

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We show that if Maxwell's equations are expressed in a form independent of specific units, at least three Galilean limits can be extracted. The electric and magnetic limits can be regarded as nonrelativistic limits because they are obtained using the condition |v| ≪ c and restrictions on the magnitudes of the sources and fields. The third limit is called the instantaneous limit and is introduced by letting c → ∞. The electric and instantaneous limits have the same form, but their interpretation is different because the instantaneous limit cannot be considered as a nonrelativistic limit. We emphasize the double role that the speed of light c plays in Maxwell's equations.

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On the Galilean non-invariance of classical electromagnetism

Cited by 33 publications

References 21 publications

Observational constraints on dark energy cosmological model parameters

Observational constraints on dark energy cosmological model parameters

Using the Galilean Relativity Principle to Understand the Physical Basis for Magnetosphere-Ionosphere Coupling Processes

The Galilean limits of Maxwell’s equations

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