Epistemic uncertainty from an averaged Hamilton-Jacobi formalism

M. J. Kazemi; S. Y. Rokni

doi:10.1007/s10701-022-00571-z

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arXiv · 2204.07489

Epistemic uncertainty from an averaged Hamilton-Jacobi formalism

M. J. Kazemi·S. Y. Rokni

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Abstract

In recent years, the non-relativistic quantum dynamics derived from three assumptions; i) probability current conservation, ii) average energy conservation, and iii) an epistemic momentum uncertainty [A. Budiyono and D. Rohrlich, \href{https://doi.org/10.1038/s41467-017-01375-w}{Nat. Commun 8, 1306 (2017)}]. Here we show that, these assumptions can be derived from a natural extension of classical statistical mechanics.

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M. J. Kazemi, S. Y. Rokni. 2022-04-15. Epistemic uncertainty from an averaged Hamilton-Jacobi formalism. https://doi.org/10.1007/s10701-022-00571-z

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