Uncertainty Principle: Explaining the Inequality Relation

nanda gopal
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The Uncertainty Principle is an inequality relation but while its application, only the equality is considered. For example - to calculate the Mass/Energy of a particle produced during an interaction, the Life Time of the particle is used to divide the Constant (h/2). But in principle the Mass/Energy can be any amount greater than the calculated one and still obey the Uncertainty principle. If it is so, how are we sure of it? Please Explain.
 
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I think it is broken down into probabilities, and certain situations though possible the likeliness of such a situation approaches zero. So I suppose the mass/energy could be any value, but it becomes extremely unlikely as it moves away from the predicted most likely occurrence.
 
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