A question of Quantum Time: Does a minimum interval of time cause wave-like behavior? If we think about the uncertainty principle, could it derive from a quanta of time? Does plank’s constant somehow derive from the quanta of time?
Hypothesis: When delta t is larger than a quanta of time, then particles behave like particles. When delta t tries to be smaller than a quanta of time, then we have uncertainty because delta t cannot be smaller than a quanta of time. So when the delta t is smaller than a quantum of time, we don’t have the granularity in time to be certain of momentum, or location of a particle at a later time smaller than a quanta.
Interference waves seem to be caused by particles that compress to the point where they influence each other. E.g. an atom of H2O behaves like a particle until it is organized with many atoms of H2O at a certain point of density where the atoms all influence each other. At this point the action/reaction caused be adjacent contact creates an interference wave of movement over time. Another way to say this is that a certain minimum level of distance between two particles, the unit of distance cannot be condensed further, and interference waves are generated. Could this happen with time as well. Could it be that that time can only move in a quanta, and this causes the interference wave?
Additionally, could this help explain the limit of the speed of light? If time has a minimum value (a quantum), then how does an observer measure speed for distances traveled faster then the minimum value of time?