The polar form of the Beta Conjecture

Let $f:(\mathcal{U},\mathbf{0})\to(\mathbb{C},0)$ be a complex analytic function with one-dimensional critical locus at the origin, choose a generic linear coordinate $z_0$, and let $\Gamma^1_{f,z_0}$ be its relative polar curve and $\beta_f$ its beta invariant. Polar form of the Beta Conjecture. If $\beta_f=0$, then $\mathbf{0}$ is not in $\Gamma^1_{f,z_0}$, equivalently the relative polar curve is zero as a cycle at the origin. Equivalently, if the relative polar curve at the origin is nonempty, then $\beta_f>0$. This is presented as an equivalent polar formulation of the Beta Conjecture; the supplied text gives no resolution status.