L
Lincsbodger
OK, here what i think. The problem arises because time itself has so far not proven to be granular.
If time is granular, there must be a smallest unit of time whereby the world clicks along. The ball must at least be stationary for 1 quantum of time, however long that may be - if it does exist, its no longer than 10-43 seconds (being the shortest possible time that the weak nuclear force can act in)
On the other hand, if time isnt quantum but linear analog, then there is no point in time where the ball measurably stops,since no matter how short a time span you examine, here will always be a shorter timespan it can reverse direction in.
However, even if time is quantum, another consideration is that at the point it reversed direction, there has to be a quantum event that is at least equivalent to the collapse of the Qauntum Superposition of the ball. This then gets very tricky to determine, since the very act of trying to determine the speed of the collapse itself affects the speed collapse. The bottom line is that even on a quantum scale the duration of stationary non-movement is indeterminate because of Heisenberg Uncertainty Principle.
If time is granular, there must be a smallest unit of time whereby the world clicks along. The ball must at least be stationary for 1 quantum of time, however long that may be - if it does exist, its no longer than 10-43 seconds (being the shortest possible time that the weak nuclear force can act in)
On the other hand, if time isnt quantum but linear analog, then there is no point in time where the ball measurably stops,since no matter how short a time span you examine, here will always be a shorter timespan it can reverse direction in.
However, even if time is quantum, another consideration is that at the point it reversed direction, there has to be a quantum event that is at least equivalent to the collapse of the Qauntum Superposition of the ball. This then gets very tricky to determine, since the very act of trying to determine the speed of the collapse itself affects the speed collapse. The bottom line is that even on a quantum scale the duration of stationary non-movement is indeterminate because of Heisenberg Uncertainty Principle.