(The connection between F and G) Instead of using .x; y; z;
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(The connection between F and G) Instead of using .x; y; z; t / as coordinates in space-time, it is considered more phys
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(The connection between F and G) Instead of using .x; y; z; t / as coordinates in space-time, it is considered more physically natural to use coordinates like .x; y; z; ct / all four of which have the same units (length). (Note: in theoretical physics, it is sometimes convenient to choose physical units so that c D 1 to avoid this issue.) Express the 2-forms F and G using coordinate ct instead of t. Using the fact that the elementary 2-forms from which F and G are constructed form a basis in the six-dimensional vector space of 2-forms in 4 variables, show that the vectors F and G, having the same components as the coefficients of F and G respectively, satisfy F G D 0. Thus, F and G are orthogonal, and in this sense the first two of Maxwell
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