Standard Quantum Mechanics without observers
- URL: http://arxiv.org/abs/2008.04930v3
- Date: Thu, 25 Mar 2021 14:34:52 GMT
- Title: Standard Quantum Mechanics without observers
- Authors: Ovidiu Cristinel Stoica
- Abstract summary: The Projection Postulate from Standard Quantum Mechanics relies fundamentally on measurements.
measurements implicitly suggest the existence of anthropocentric notions like measuring devices.
This article proposes an alternative formulation of the Standard Quantum Mechanics.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Projection Postulate from Standard Quantum Mechanics relies fundamentally
on measurements. But measurements implicitly suggest the existence of
anthropocentric notions like measuring devices, which should rather emerge from
the theory. This article proposes an alternative formulation of the Standard
Quantum Mechanics, in which the Projection Postulate is replaced with a version
in which measurements and observations are not assumed as fundamental. More
precisely, the Wigner functions representing the quantum states on the phase
space are required to be tightly constrained to regions of the classical
coarse-graining of the phase space. This ensures that states are quasiclassical
at the macro level. Within a coarse-graining region, the time evolution of the
Wigner functions representing the quantum system is required to obey the
Liouville-von Neumann equation, the phase-space equivalent of the Schr\"odinger
equation. The projection is postulated to happen when the system transitions
from a coarse-graining region to others, by selecting one of them according to
the Born rule, but without reference to a measurements. The connection with the
standard formulation of Quantum Mechanics is explained, as well as the problems
that the present formulation solves, in particular the Wigner's friend type of
paradoxes. Experimental consequences and open problems of the proposed
formulation are discussed.
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