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Canonical bivectors in spacetime algebra.

[Click here for a PDF version of this post] I’ve been enjoying XylyXylyX’s QED Prerequisites Geometric Algebra: Spacetime YouTube series, which is doing a thorough walk through of [1], filling in missing details. The last episode QED Prerequisites Geometric Algebra 15: Complex Structure, left things with a bit of a cliff hanger, mentioning a “canonical” form for STA bivectors that was…

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#canonical bivector #complex number #magnitude #phase #space time algebra #STA

Maxwell's equations, from Lagrangian, for electric sources.

Maxwell’s equations, from Lagrangian, for electric sources.

This is the 3rd part in a series on finding Maxwell’s equations (including the fictitious magnetic sources that are useful in engineering) from a Lagrangian representation. [Click here for a PDF version of this series of posts, up to and including this one.] The first and second parts are also available here on this blog. <h2>Continuing…</h2> Given the Lagrangian…

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#Lagrangian density #Maxwell&039;s equations #space time algebra #STA #tensor algebra

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