Dimension conjecture for same-prime-divisor approximation on generalized Cantor sets

Let $C(b,D)$ be a generalized Cantor set with Hausdorff dimension $cgamma$, where $b$ and $t$ have the same prime divisors, $D$ contains at least one of $0$ and $b-1$, and $clambda_{\psi}$ denotes the approximation exponent used in the source, with $clambda_{\psi}\geq 1$. Same-prime-divisor dimension conjecture.

$$\dim_{\rm H}\bigl(W_t(\psi)\cap C(b,D)\bigr)=\frac{\gamma}{\lambda_{\psi}}.$$

This conjecture asserts that, in the same-prime-divisor case, the Hausdorff dimension depends only on the Cantor-set dimension and the approximation exponent. The source motivates it by bounds involving the parameters $calpha_1$ and $calpha_2$.