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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 9 > No. 1L


Geometric Calculus-based Postulates for the Derivation and Extension of the Maxwell Equations

PP: 1-10
Gene E. McClellan,
The geometric algebra of three-dimensional physical space and its associated geometric calculus, enables a compact formulation of Maxwells electromagnetic (EM) equations from a set of familiar and physically relevant postulates. This formulation results in a natural extension of the Maxwell equations yielding wave solutions in addition to the usual EM waves. These additional, non-EM solutions do not conflict with classical EM experiments and have three properties in common with the apparent properties of dark energy. These three properties are that the wave solutions 1) propagate at the speed of light, 2) do not interact with ordinary electric charges or currents, and 3) possess retrograde momentum. By retrograde momentum, we mean that the momentum carried by such a wave is directed oppositely to the direction of energy transport. A gas of such waves generates negative pressure.

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