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2017 ; 8
(1
): 1306
Nephropedia Template TP
gab.com Text
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Quantum mechanics as classical statistical mechanics with an ontic extension and
an epistemic restriction
#MMPMID29101341
Budiyono A
; Rohrlich D
Nat Commun
2017[Nov]; 8
(1
): 1306
PMID29101341
show ga
Where does quantum mechanics part ways with classical mechanics? How does quantum
randomness differ fundamentally from classical randomness? We cannot fully
explain how the theories differ until we can derive them within a single
axiomatic framework, allowing an unambiguous account of how one theory is the
limit of the other. Here we derive non-relativistic quantum mechanics and
classical statistical mechanics within a common framework. The common axioms
include conservation of average energy and conservation of probability current.
But two axioms distinguish quantum mechanics from classical statistical
mechanics: an "ontic extension" defines a nonseparable (global) random variable
that generates physical correlations, and an "epistemic restriction" constrains
allowed phase space distributions. The ontic extension and epistemic restriction,
with strength on the order of Planck's constant, imply quantum entanglement and
uncertainty relations. This framework suggests that the wave function is
epistemic, yet it does not provide an ontic dynamics for individual systems.