. . . volume.¹

You might worry about the constant of proportionality, but if $\epsz$ is a pure number then $\mu_0$ must be one also, or c would not be unitless.

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. . . . )²

You are allowed to consult the literature on this, or even http://en.wikipedia.org/wiki/Planck_units, but please explain your own reasoning!)

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. . . units"!)³

Maybe the "googol" (10¹⁰⁰) has a practical use after all! If we take its square root (10⁵⁰, a "roogol"?) we're in a convenient range for lots of things. New prefixes: R and r such that one roogolhertz = 1 RHz  $\equiv 10^{50}$ Hz and one reallylittlesecond = 1 rs  $\equiv 10^{-50}$ s. No problem.

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. . . GAUGE.⁴

I find this distinctly upsetting. The 4-vector-ness of $A^\mu$ depends on an essentially arbitrary choice of gauge?! Surely something as fundamental as whether a 4-quantity is a true 4-vector or not should not be subject to arbitrariness! And yet we cannot just declare one gauge to be the "right" gauge, since no measureable quantity depends upon the choice of gauge. I hope you can think of a resolution to this conundrum.

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