The inconsistency of linear dynamics and Born's rule
- URL: http://arxiv.org/abs/2106.10136v1
- Date: Fri, 18 Jun 2021 13:57:20 GMT
- Title: The inconsistency of linear dynamics and Born's rule
- Authors: Lotte Mertens, Matthijs Wesseling, Niels Vercauteren, Alonso
Corrales-Salazar, and Jasper van Wezel
- Abstract summary: We show that requiring the emergence of Born's rule for relative frequencies of measurement outcomes without imposing them as part of any axiom implies that objective collapse theories cannot be linear.
Previous suggestions for a proof of the emergence of Born's rule in classes of problems that include linear objective collapse theories are analysed and shown to include hidden assumptions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Modern experiments using nanoscale devices come ever closer to bridging the
divide between the quantum and classical realms, bringing experimental tests of
objective collapse theories that propose alterations to Schr\"{o}dinger's
equation within reach. Such objective collapse theories aim to explain the
emergence of classical dynamics in the thermodynamic limit and hence resolve
the inconsistency that exists within the axioms of quantum mechanics. Here, we
show that requiring the emergence of Born's rule for relative frequencies of
measurement outcomes without imposing them as part of any axiom, implies that
such objective collapse theories cannot be linear. Previous suggestions for a
proof of the emergence of Born's rule in classes of problems that include
linear objective collapse theories are analysed and shown to include hidden
assumptions.
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