Okay — you’re still not explaining what actually breaks, just repeating they could measure over and over. Please say what you specifically believe is unphysica

Okay — you’re still not explaining what actually breaks, just repeating they could measure over and over. Please say what you specifically believe is unphysical about the situation — what trajectory reaches the singularity in finite time and why specifically is that unphysical? My understanding is that you have a cusp singularity that is actually an infinite spike, ie, distance to the singularity is unbounded; that is, no matter how small a circle/sphere around the singularity, you have an infinite diameter. And so you will need to be much more explicit about where the problem lies.