Discontinuity rather than continuity as the fundamental principle of spacetime would certainly align nicely with the experience that whenever the maths yields i

Discontinuity rather than continuity as the fundamental principle of spacetime would certainly align nicely with the experience that whenever the maths yields infinity, the corresponding physics become meaningless. It also meshes with the impossibility of moving a mass by an infinitesimal distance and the inherent lower limit of energy needed to record one bit of information... so, yeah.