The paper claims that probabilities conditioned on observability under onto-epistemic ignorance yield a non-commutative algebra isomorphic to the projection structure of quantum mechanics.
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abstract
Quantum mechanics is a theory that is as effective as it is counterintuitive. While quantum practices operate impeccably, they compel us to embrace enigmatic phenomena like the collapse of the state vector and non-locality, thereby pushing us towards untenable "hypotheses non fingo" stances. However, a century after its inception, we are presented with a promising interpretive key, intimated by Wheeler as early as 1974. The interpretative paradoxes of this theory might be resolved if we discern the relationship between logical undecidability and quantum undecidability. It will be demonstrated how both are intricately linked to an observer/observed relational issue, and how the idiosyncratic behaviours of quantum physics can be reconciled with the normative, following this path.
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Observable and Unobservable in Quantum Mechanics
The paper claims that probabilities conditioned on observability under onto-epistemic ignorance yield a non-commutative algebra isomorphic to the projection structure of quantum mechanics.