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arXiv · 0807.1382

Electromagnetic energy-momentum equation without tensors: a geometric algebra approach

Quirino M. Sugon Jr.·Daniel J. McNamara
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Abstract

In this paper, we define energy-momentum density as a product of the complex vector electromagnetic field and its complex conjugate. We derive an equation for the spacetime derivative of the energy-momentum density. We show that the scalar and vector parts of this equation are the differential conservation laws for energy and momentum, and the imaginary vector part is a relation for the curl of the Poynting vector. We can show that the spacetime derivative of this energy-momentum equation is a wave equation. Our formalism is Dirac-Pauli-Hestenes algebra in the framework of Clifford (Geometric) algebra Cl_{4,0}.

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Quirino M. Sugon Jr., Daniel J. McNamara. 2008-07-09. Electromagnetic energy-momentum equation without tensors: a geometric algebra approach. https://arxiv.org/abs/0807.1382

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