Helland claims that two complementary maximal accessible variables, together with symmetry and category postulates, are enough to derive the Hilbert-space operator formalism and the Born rule.
On probabilities in quantum mechanics
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abstract
This is an attempt to clarify certain concepts related to a debate on the interpretation of quantum mechanics, a debate between Andrei Khrennikov on the one side and Blake Stacey and R\"udiger Schack on the other side. Central to this debate is the notion of quantum probabilities. I first take up the probability concept in the QBist school, and then give my own arguments for the Born formula for calculating quantum probabilities. In that connection I also sketch some consequences of my approach towards the foundation and interpretation of quantum theory. I discuss my general views on QBism as a possible alternative interpretation before I give some final remarks.
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2024 1verdicts
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Some mathematical issues regarding a new approach towards quantum foundations
Helland claims that two complementary maximal accessible variables, together with symmetry and category postulates, are enough to derive the Hilbert-space operator formalism and the Born rule.