2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/45917We show that, even for a soft collision like forward elastic scattering, the phase of the amplitude is extremely sensitive to a breakdown of strict causality in local QFT. This is especially the case when the breakdown is manifested by a failure of polynomial boundedness which leads to amplitudes that in some complex direction have order 1 exponential growth in $|\sqrt{s}|$.8 pages, including one postscript figure, latex with epsf.styHigh Energy Physics - PhenomenologyHigh Energy Physics - ExperimentOn the importance of measuring $ρ$ at $\sqrt{s}>1$ TeVtext