The trade off in uncertainty in momentum vs position in the HUP leaves me confused. In the context where the momentum is measured to increasingly greater precision and consequently position becomes less refined, is any logical inference made about the existence of the object i.e. is it less less likely to actually be in existence since it is convergng to an infinite uncertainty on exactly WHERE it exists. Similar logic could apply to the Energy-time uncertainty relation. OR Do we reason that the object exists because it has momentum measured to to higher and higher precision, but just where it has that momentum is increasingly unknown. Yet I would have thought that an object that is becoming infinitely less precise in having a momentum property AT a position in space is testing the limits of being a physical object at all. Does uncertainty converge in any situation which reaches a known limit such as for example at the planck scale. Also i'm assuming the HUP has relativistic versions?