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Abstract: This paper examines the variance of quantum and classical predictions in thequantum realm, as well as unexpected presence and absence of variances. Somefeatures are found that share an indirect commonality with the Aharonov-Bohmand Aharonov-Casher effects in that there is a quantum action in the absence ofa force. Variances are also found in the presence of a force that are moresubtle as they are of higher order. Significant variances related to theharmonic oscillator and particle in a box periods are found. This paper raisesthe question whether apparent quantum self-inconsistency may be examinedinternally, or must be empirically ascertained. These inherent variances mayeither point to inconsistencies in quantum mechanics that should be fixed, orthat nature is manifestly more non-classical than expected. For the harmonicoscillator it is proven that the second spatial moment is the same in QM andCM.



Author: Mario Rabinowitz

Source: https://arxiv.org/







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