Monday 20 February 2023

Events in quantum mechanics: a simple proposal

Events in quantum mechanics: a simple proposal

In standard quantum mechanics events are observations. The occurrence of an event needs an experimental set up if not an actual observer, but an actual observer participates in thought experiments or conundrums such as Wigner’s friend or Schrödinger’s Cat. I do not deny that observing experimenters exist but claim that they are not essential to the workings of the physical world. I have examined well known experiments:

In these previous posts it has been shown that a local interaction of a quantum particle with a pointer or a Stern-Gerlach setup can select a σ\sigma-algebra from the σ\sigma-complex that describes the possible properties of the quantum particle. This selection happens prior to detection. The interaction causes the complex of potential σ\sigma-algebras to reduce to one.

Once there is a selected σ\sigma-algebra we have a classical probability description of the situation. In this case we can propose that an event is simply drawn from the probability distribution. This is like sampling in classical statistics. The actualisation form potential values is caused by the interaction and is the immediate next step once the complex has been reduced to one algebra.
After this actualisation, the particle may proceed to a detector and its properties recorded in accord with the purpose of the experiment.

Therefore, this outline theory of quantum events agrees with the empirical content of standard quantum mechanics.

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