Imaginary in all directions: an elegant formulation of special relativity and classical electrodynamics
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چکیده
A suitable parameterization of space-time in terms of one complex and three quaternionic imaginary units allows Lorentz transformations to be implemented as multiplication by complex-quaternionic numbers rather than matrices. Maxwell’s equations reduce to a single equation.
منابع مشابه
A ug 2 00 5 Classical Electromagnetism as a Consequence of Coulomb ’ s Law , Special Relativity and Hamilton ’ s Principle and its Relationship to Quantum Electrodynamics
It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special rel-ativity and Hamilton's Principle. The instantaneous nature of the Coulomb force in the centre-of-mass frame of two interacting charged objects, mediated by the exchange of space-like virtual photons, is predicted by QED. The interaction ...
متن کامل2 7 M ay 2 00 5 Classical Electromagnetism as a Consequence of Coulomb ’ s Law , Special Relativity and Hamilton ’ s Principle and its Relationship to Quantum Electrodynamics
It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special rel-ativity and Hamilton's Principle. The instantaneous nature of the Coulomb force in the centre-of-mass frame of two interacting charged objects, mediated by the exchange of space-like virtual photons, is predicted by QED. The interaction ...
متن کاملJa n 20 05 Classical Electromagnetism as a Consequence of Coulomb ’ sLaw , Special Relativity and Hamilton ’ s Principle and its Relationship to Quantum Electrodynamics
It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special rel-ativity and Hamilton's Principle. The instantaneous nature of the Coulomb force in the centre-of-mass frame of two interacting charged objects, mediated by the exchange of space-like virtual photons, is predicted by QED. The interaction ...
متن کاملJu n 20 06 Classical Electromagnetism as a Consequence of Coulomb ’ sLaw , Special Relativity and Hamilton ’ s Principle and its Relationship to Quantum Electrodynamics
It is demonstrated how all the mechanical equations of classical electrodynamics (CEM) may be derived from only Coulomb's inverse square force law, special rel-ativity and Hamilton's Principle. The instantaneous nature of the Coulomb force in the centre-of-mass frame of two interacting charged objects, mediated by the exchange of space-like virtual photons, is predicted by QED. The interaction ...
متن کاملClassical Electromagnetism as a Consequence of Coulomb ’ s Law , Special Relativity and Hamilton ’ s Principle and its Relationship to Quantum Electrodynamics
It is demonstrated how all the mechanical equations of Classical Electromag-netism (CEM) may be derived from only Coulomb's inverse square force law, special relativity and Hamilton's Principle. The instantaneous nature of the Coulomb force in the centre-of-mass frame of two interacting charged objects, mediated by the exchange of space-like virtual photons, is predicted by QED. The interaction...
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تاریخ انتشار 2008