From Osher Doctorow Ph.D.
The Big Crunch "Exponentially Exploding Julia Set Boundary" theorem and proof from my last posting has a very subtle error. If y(1) = 1, then the solution y = exp(t) or e^t (in other notation) does not hold unless there is a discontinuity at t = 1, since e^1 = e which is approximately 2.72. This would not be surprising at a "singularity" at t = 1, but it would need to be incorporated into the definition and theorem and the proof. Another difficulty is that the whole proof of equation (6) requires that y = exp(t) be one solution, but y = exp(t) exceeds 1 except at t = 0, since in Rare Event Theory y is between 0 and 1. I'll try to revise the theorem and proof and eliminate the "backwards- forwards" parts that were intuitively motivated to obtain a clearer logical order, although it is interesting that intuition played a more "exploratory" role here than logic. Osher Doctorow