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mike1000 said:You seem to be implying that delta is standard deviation for momentum and position. If that is so, can you please comment on the following...
If delta is the standard deviation then what does the Uncertainty Principle tell us? It tells us that the standard deviations when multiplied together are greater than or equal to planks constant. If that is true, doesn't that imply that there could exist a set of observations within the data set of observations where the momentum and position were measured precisely and do not obey the Uncertainty Principle?
The UP is a statistical law; and, as with all statistical laws, says nothing definite about any specific measurement or set of measurements. In the same way you could throw a die and get 0 variance (for a small number of throws), likewise (for an ensemble of identically prepared systems) you could get 0 variance for position measurements (for a small number of experiments).