How to define a fixed spacing between characters independent of font-size?

Question

As it can be seen in the following two equations, the spacing between the first two A's depends on the font size and changes if the new AA symbol is used in a fraction.
- ${Ahspace{-.7ex}A}{AA}$
- $frac{Ahspace{-.7ex}A}{AA}$

I have tried em, mm, and pt with no success. How can one define a negative spacing that functions the same way everywhere, independent of the font size?
Or similarly, how can I define a new composit symbol (e.g. AA) that looks the same everywhere?

egreg · Answer

Use mathematical kerns, that automatically adapt to the style.
documentclass{article}

DeclareRobustCommand{AAA}{Amkern-5mu A}

begin{document}

[
AAAfrac{AAA}{AA}textstylefrac{AAA}{AA}scriptstylefrac{AAA}{AA}
]

end{document}

Steven B. Segletes · Answer

Set it up to account for the math style.
documentclass{article}
newcommanddblA{mathchoice
{Ahspace{-.7ex}A}
{Ahspace{-.7ex}A}
{Ahspace{-.58ex}A}
{Ahspace{-.55ex}A}%
}
begin{document}
$dblA AA$

$scriptstyledblA AA$

$scriptscriptstyledblA AA$
end{document}

How to define a fixed spacing between characters independent of font-size?

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