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$\begingroup$ We will never be able to verify it with any degree of certainty - to be true, that's an oversimplification. Please see a tutorial such as this. The uncertainty in measurements amplifies at microscopic scales and reduces dramatically at macroscopic scales. For instance, given the momentum of a ball (weighing $0.4kg$), the uncertainty in measuring its position is barely to the order of $10^{-25}m$. $\endgroup$Dhruv Saxena– Dhruv Saxena2017-06-11 20:22:50 +00:00Commented Jun 11, 2017 at 20:22
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$\begingroup$ @Dhruv Saxena doesn't the difference you calculate to be the discrepancy in the position you observe and the actual position that the something is and there is a sphere of the something's probable and actual location because of the discrepancy. And maybe yes the perception of this is down to scales Newton's interpretation of his observations were at macroscopic levels and the result of his classical theories describe events at that level and the measurement of the result of those is not very disimilar to what is actually going on so his classical view is actually a good description of the real $\endgroup$user78445– user784452017-06-11 20:50:38 +00:00Commented Jun 11, 2017 at 20:50
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$\begingroup$ @Dhruv Saxena ality of things is not far from the truth but as you look more closely your observations become probably more different than the actual reality of things and thus the degree of certainty between whats observed and the actual truth becomes greater like you describe I guess what I meant Any like you object to. The degree is dependent upon your level of perspective, $\endgroup$user78445– user784452017-06-11 21:08:54 +00:00Commented Jun 11, 2017 at 21:08
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$\begingroup$ Personally, I'd think that, for a ball that is about $22 inches$ in length, the discrepancy of $10^{-25}m$ in determining its position is utterly insignificant. It doesn't render the Newtonian mechanics futile. I think the question Is the universe fundamentally deterministic? could address quite a lot of arguments that we can make. $\endgroup$Dhruv Saxena– Dhruv Saxena2017-06-11 22:19:10 +00:00Commented Jun 11, 2017 at 22:19
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$\begingroup$ I really am sleepy your right classical Newtonian mechanics describes a picture if your calculations are correct then the discrepancy is maybe insignificant to judge that theory is an incorrect description of the reality things but it's veryfictation would be impossible because measurabity is uncertain because of the principle and we cannot honest to goodness say for fact that this model is correct and exact description of the reality of things. When u look more closely as u said the discrepancy are greater and a any other model becomes further from the truth than the newton model. Must sleep $\endgroup$user78445– user784452017-06-11 22:37:41 +00:00Commented Jun 11, 2017 at 22:37
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