The non sequitur mathematics and physics of the “New Electrodynamics” proposed by the AIAS group

Carvalho, A. L. T. de; Rodrigues, Waldyr A.

doi:10.1515/rose.2001.9.2.161

Cited by 4 publications

(7 citation statements)

References 43 publications

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“…Let us now take a look at the contracted first Bianchi identity (19). Then (19) and (60), substituted into (59), yield…”

Section: Second Field Equation Of Gravitymentioning

confidence: 99%

“…Such a statement, which overlaps with the last subsection, seems necessary since there are numerous inconsistencies and mistakes in Evans' work, see Bruhn [3][4][5][6][7][8][9][10][11][12] and Rodrigues et al [19,61], such that it is necessary to distiguish between the relevant and the irrelevant parts of Evans' articles.…”

Section: Five Cornerstones Define Evans' Unified Field Theorymentioning

confidence: 99%

“…It carries electric charge but no spin. Evan concludes 19 that it cannot carry an electromagnetic field either! Of course, according to Evans' ansatz A α = a 0 ϑ α , electromagnetism is assumed to be an universal phenomenon.…”

Section: Uncharged Particles With Spin and Charged Particles Without mentioning

confidence: 99%

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An Assessment of Evans’ Unified Field Theory I

Hehl

Obukhov

2007

Found Phys

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Evans developed a classical unified field theory of gravitation and electromagnetism on the background of a spacetime obeying a Riemann-Cartan geometry. This geometry can be characterized by an orthonormal coframe ϑ α and a (metric compatible) Lorentz connection Γ αβ . These two potentials yield the field strengths torsion T α and curvature R αβ . Evans tried to infuse electromagnetic properties into this geometrical framework by putting the coframe ϑ α to be proportional to four extended electromagnetic potentials A α ; these are assumed to encompass the conventional Maxwellian potential A in a suitable limit. The viable Einstein-Cartan(-Sciama-Kibble) theory of gravity was adopted by Evans to describe the gravitational sector of his theory. Including also the results of an accompanying paper by Obukhov and the author, we show that Evans' ansatz for electromagnetism is untenable beyond repair both from a geometrical as well as from a physical point of view. As a consequence, his unified theory is obsolete.

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“…Let us now take a look at the contracted first Bianchi identity (19). Then (19) and (60), substituted into (59), yield…”

Section: Second Field Equation Of Gravitymentioning

confidence: 99%

Section: Five Cornerstones Define Evans' Unified Field Theorymentioning

confidence: 99%

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An Assessment of Evans’ Unified Field Theory I

Hehl

Obukhov

2007

Found Phys

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“…We remark that (5.21) has been called the Hertz theorem in [32,37] and it has been used there and also in [8,9,10,16,20,31,33] in order to find nontrivial superluminal solutions of the free Maxwell equation.…”

Section: Hertz Theorem the Hertz Potential Satisfiesmentioning

confidence: 99%

“…Observe that there are [8,9,10,20,31,32,33,34,37] infinite families of nontrivial solutions of Maxwell equations such that F 2 ≠ 0 (which correspond to subluminal and superluminal solutions of Maxwell equation). Then, it is licit to consider the case = 0.…”

Section: Maxwell Dirac Equivalence Of First Kindmentioning

confidence: 99%

The relation between Maxwell, Dirac, and the Seiberg‐Witten equations

Rodrigues

2003

International Journal of Mathematics and Mathematical Sciences

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We discuss unsuspected relations between Maxwell, Dirac, and the Seiberg-Witten equations. First, we present the Maxwell-Dirac equivalence (MDE) of the first kind. Crucial to that proposed equivalence is the possibility of solving for ψ (a representative on a given spinorial frame of a Dirac-Hestenes spinor field) the equation F = ψγ 21ψ , where F is a given electromagnetic field. Such task is presented and it permits to clarify some objections to the MDE which claim that no MDE may exist because F has six (real) degrees of freedom and ψ has eight (real) degrees of freedom. Also, we review the generalized Maxwell equation describing charges and monopoles. The enterprise is worth, even if there is no evidence until now for magnetic monopoles, because there are at least two faithful field equations that have the form of the generalized Maxwell equations. One is the generalized Hertz potential field equation (which we discuss in detail) associated with Maxwell theory and the other is a (nonlinear) equation (of the generalized Maxwell type) satisfied by the 2-form field part of a Dirac-Hestenes spinor field that solves the Dirac-Hestenes equation for a free electron. This is a new result which can also be called MDE of the second kind. Finally, we use the MDE of the first kind together with a reasonable hypothesis to give a derivation of the famous Seiberg-Witten equations on Minkowski spacetime. A physical interpretation for those equations is proposed.2000 Mathematics Subject Classification: 81Q05, 81R25, 15A66.

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Maxwell, Dirac and Seiberg-Witten Equations

Rodrigues

Oliveira

2007

The Many Faces of Maxwell, Dirac and Einstein Equations

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The non sequitur mathematics and physics of the “New Electrodynamics” proposed by the AIAS group

Cited by 4 publications

References 43 publications

An Assessment of Evans’ Unified Field Theory I

An Assessment of Evans’ Unified Field Theory I

The relation between Maxwell, Dirac, and the Seiberg‐Witten equations

Maxwell, Dirac and Seiberg-Witten Equations

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