The Geometry of Bitcoin: Superlinear Feedback and the Finite-Time Singularity Problem

A working paper on intermittent superlinear feedback. A blow-up theorem: if the feedback exponent of dy/dx = k(1+y^m) fluctuates across the critical value m=1, a finite-time singularity follows almost surely, whatever the mean exponent — noise in the rate cannot do the same. With checkable membership conditions, a nested simulation, and candidate correspondences in tokamak edge instabilities and accelerating creep before slope failure. The construction originated in a study of Bitcoin's price geometry, which forms the first part.