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Multivectors And Clifford Algebra In Electrodynamics
Clifford algebras are assuming now an increasing role in theoretical physics. Some of them predominantly larger ones are used in elementary particle theory, especially for a unification of theExpand
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Trivector Fourier transformation and electromagnetic field
A new kind of Fourier transformation is proposed for distributions taking values in the Clifford algebra of three‐dimensional space, with the unit imaginary replaced by the unit trivector. TheExpand
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From Field Theory to Quantum Groups
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The Extended Grassmann Algebra of R3
When a linear space of vectors is devoid of a metric, many quantities can be introduced: multivectors, pseudo-multivectors and their duals, namely forms and pseudo– forms. In R 3, sixteen types ofExpand
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Plane Electromagnetic Wave in PEMC
Plane electromagnetic wave propagating in perfect electromagnetic conductor (PEMC) is considered. Its wave number has no connection with the frequency. An interface is introduced between an ordinaryExpand
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Maxwell stress dyadic in differential-form formalism
The classical Maxwell stress tensor (or stress-energy-momentum tensor) is revisited by introducing the dyadic formalism to that of differential forms. Dyadics, as originally introduced by Gibbs toExpand
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A Variable Metric Electrodynamics. The Coulomb and Biot–Savart Laws in Anisotropic Media
Abstract The use of differential forms allows the formulation of the principal equations of electrodynamics in a metric independent way. At this stage a wealth of directed quantities is necessary.Expand
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Premetric Electrodynamics
Abstract.Classical electrodynamics can be divided into two parts. In the first one, with the use of plenty of directed quantities, namely multivectors and differential forms, no scalar product isExpand
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Non-modular lattices generated by the causal structure
A lattice structure approach is used for investigation of the causal structure of space-time. Two lattices are considered: the first one generated by the chronological relation based on a time-likeExpand
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