Epistemic Uncertainty from an Averaged Hamilton–Jacobi Formalism

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 (Budiyono and Rohrlich in Nat Commun 8:1306, 2017). Here we show that, these assumptions can be d...

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Veröffentlicht in:	Foundations of physics 2022-06, Vol.52 (3), Article 54
Hauptverfasser:	Kazemi, M. J., Rokni, S. Y.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Classical Mechanics Conservation History and Philosophical Foundations of Physics Philosophy of Science Physics Physics and Astronomy Quantum Physics Relativity Theory Statistical analysis Statistical mechanics Statistical Physics and Dynamical Systems Uncertainty
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Zusammenfassung:	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 (Budiyono and Rohrlich in Nat Commun 8:1306, 2017). Here we show that, these assumptions can be derived from a natural extension of classical statistical mechanics.
ISSN:	0015-9018 1572-9516
DOI:	10.1007/s10701-022-00571-z