Algebraic boundary-point density conjecture for the Mandelbrot set

Let ${\mathcal M}$ be the parameter set under consideration, and let $\partial {\mathcal M}$ denote its boundary. A point of $\partial {\mathcal M}$ is algebraic if it is algebraic over the rationals. Algebraic boundary-point density conjecture. The algebraic points in $\partial {\mathcal M}$ are dense in $\partial {\mathcal M}$. This is one of two related conjectures proposed after the paper's discussion of the limit sets $T_\omega$ and examples near a renormalization point. No resolution is given in the supplied text.