Let $T$ be a (the) isometric homeomorphism on the 2-adic numbers $T:\Bbb Q_2\to\Bbb Q_2$ that satisfies the equation:
$T(x)=T\left(\frac{x-1}3\right)-1$
Question
It should be the case that $T$ embeds the positive ternary rationals whose 3-adic absolute value is $3$, within the negative ternary ra...