No Doron what you wrote above is nonsense, deliberately so and as usual you prefer to try to ascribe some of your deliberate nonsense to others. Since position can be delocalized by localizing momentum as clearly stated in what you quoted from me, your nonsense remains simply yours. Again your primary confusion in this case seems to be with equating (as you seem to do above) some physical position exclusively with locality. Not all locations are in what is informally considered space (meaning some physical location). Mathematically a set of values is a space, much like momentum space commonly used in physics. As such, a localized momentum is a position (or range of positions) in that space (momentum space not some physical spatial location). This is the power and flexibility of real math that not all spaces deal with or are limited to measures of physical distance like a meter, yard or furlong. We can also locate and localize things in other types of spaces,
momentum space being just one common example in physics and
phase space being another. To try to put it more succinctly for you, if we consider a line representing values of momentum with the possible values ranging from 5 Newton seconds to say 10 Newton seconds our uncertainty in momentum would be 5 Newton seconds and thus our minimum uncertainty in position would be h/10
p meters. Thus we could represent the range of positions as a line h/10
p meters in length. If we double that uncertainty in position (increase the range, the length of the line and thus delocalize it even more) our uncertainty in momentum now becomes only 2.5 Newton seconds, the minimum rage of possible values of momentum has become more localized or in other words the length of our momentum line has gone from 5 Newton seconds to 2.5 Newton seconds.
