A new perspective on relativistic transformation for Maxwell's equations of electrodynamics

Huang, Young-Sea

doi:10.1088/0031-8949/79/05/055001

Cited by 7 publications

(12 citation statements)

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“…Furthermore, we pointed out that the current transformation of Maxwell's equations of electrodynamics by the LT does not truly fulfill the principle of relativity [37]. The reason is as follows: The original electromagnetic fields…”

Section: IImentioning

confidence: 98%

“…In contrast, with the novel perspective on relativistic transformation, Maxwell's equations were shown form-invariant among inertial frames, via transformation in the k-space, rather than the space-time space [37]. Referring to Fig.…”

Section: IImentioning

confidence: 99%

“…There are only a few bound states in the relativistic regime, as compared with the other two theories. The reason is that the speed v of the bound particle must be less than c, and the confining interaction on the particle is reduced by the factor 1 − (v/c) 2 [35][36][37]. These lead to an upper bound on energies of bound states, even for the infinite potential well.…”

Section: Non-relmentioning

confidence: 99%

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Relativistic quantum mechanics and relativistic quantum statistics based upon a novel perspective on relativistic transformation

Huang¹

2012

Preprint

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A novel perspective on relativistic transformation recently-proposed provides an insight into the very meaning of the principle of relativity. With this novel perspective and Bell's theorem, we argue that special relativity, instead of quantum theory, should be radically reformulated to resolve inconsistencies between those two theories. A new theory of relativistic quantum mechanics is formulated upon this novel perspective. This new relativistic quantum mechanics is free from such anomalies as the negative probability density, the negative-energy states, Zitterbewegung, and the Klein paradox deep-rooted in the current relativistic quantum mechanics. Moreover, a remarkable result is found that a particle can not be confined within an infinite square well of width less than half of the Compton wavelength. As implications in nuclear physics, there is a lower bound on the size of atomic nucleus. Neither an electron, nor a positron, can be confined inside the nucleus by whatever interaction.Furthermore, with this novel perspective, we argue that the postulates of non-relativistic quantum statistics fulfill the principle of relativity, as extended to the relativistic realm. A new theory of relativistic quantum statistics is formulated such that the probability distribution functions are the same as the well-known Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein distribution functions in non-relativistic quantum statistics. A relativistic speed distribution of a dilute gas is then derived by the new relativistic quantum statistics and the new relativistic quantum mechanics. This relativistic speed distribution reduces to Maxwell speed distribution in the low temperature region. Yet, this relativistic speed distribution differs remarkably from Jüttner speed distribution in the high temperature region. Also, thermal properties of a dilute gas are studied by the new relativistic quantum statistics.

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Section: IImentioning

confidence: 98%

Section: IImentioning

confidence: 99%

Section: Non-relmentioning

confidence: 99%

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Relativistic quantum mechanics and relativistic quantum statistics based upon a novel perspective on relativistic transformation

Huang¹

2012

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“…For, once we know these laws in any one available form, we can think about the best mathematical representation of them. (For a current discussion of the various mathematical formulations, see Ivezić 2001Ivezić , 2003Hestenes 1966Hestenes , 2003Huang 2008Huang , 2009Arthur 2011. ) Thus, what are the true transformation laws of the fundamental electrodynamic quantities?…”

Section: Introductionmentioning

confidence: 99%

Operational understanding of the covariance of classical electrodynamics

Gömöri¹,

Szabó

2013

phys essays

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It is common in the literature on classical electrodynamics and relativity theory that the transformation rules for the basic electrodynamic quantities are derived from the pre-assumption that the equations of electrodynamics are covariant against these-unknown-transformation rules. There are several problems to be raised concerning these derivations. This is, however, not our main concern in this paper. Even if these derivations are regarded as unquestionable, they leave open the following fundamental question: Are the so-obtained transformation rules indeed identical with the true transformation laws of the empirically ascertained electrodynamic quantities? This is of course an empirical question. In this paper, we will answer this question in a purely theoretical framework by applying what J. S. Bell calls "Lorentzian pedagogy"-according to which the laws of physics in any one reference frame account for all physical phenomena, including what a moving observer must see when performs measurement operations with moving measuring devices. We will show that the real transformation laws are indeed identical with the ones obtained by presuming the covariance of the equations of electrodynamics, and that the covariance is indeed satisfied. Beforehand, however, we need to clarify the operational definitions of the fundamental electrodynamic quantities. As we will see, these semantic issues are not as trivial as one might think.

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The principle of relativity: an empiricist analysis = A relativitás elve: empirista elemzés

Gömöri¹

2015

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Budapest, 2015References 120I have for long thought that if I had the opportunity to teach this subject, I would emphasize the continuity with earlier ideas. Usually it is the discontinuity which is stressed, the radical break with more primitive notions of space and time. Often the result is to destroy completely the confidence of the student in perfectly sound and useful concepts already acquired.

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A new perspective on relativistic transformation for Maxwell's equations of electrodynamics

Cited by 7 publications

References 16 publications

Relativistic quantum mechanics and relativistic quantum statistics based upon a novel perspective on relativistic transformation

Relativistic quantum mechanics and relativistic quantum statistics based upon a novel perspective on relativistic transformation

Operational understanding of the covariance of classical electrodynamics

The principle of relativity: an empiricist analysis = A relativitás elve: empirista elemzés

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