On the Plausibility of an Upper Bound Uncertainty Principle

Abstract

We argued previously from a physical and number theoretic standpoint that an upper bound speed limit such as the speed of light implies the existence of a lower limit to the duration of events in the Universe. Consequently, this leads to a minimum characteristic length separation for events in the Universe. Herein, we argue that matter and energy that is in compliance with and in observance of the upper bound light speed limit is governed by the lower limiting uncertainty principle of Heisenberg. We also ask the natural and logical question `What would an upper bound uncertainty principle mean?' We come to the interesting conclusion that an upper bound uncertainty principle must apply to particles that travel at speeds greater than the speed of light. Further, we argue that consequently a tachyon must exist in a permanent state of confinement and must be intrinsically and inherently unstable in which event it oscillates between different states. These two requirements place quarks in a position to be good candidates for tachyons.