Interpretation of quantum mechanics with indefinite norm
Alessandro Strumia
TL;DR
This paper proposes a generalized interpretation of quantum mechanics based on indefinite quantum norm, deriving the probabilistic Born rule from algebraic properties of measurements and states.
Contribution
It introduces a novel interpretation of quantum mechanics utilizing indefinite norm, extending the deterministic foundation of the Born rule.
Findings
Derivation of the Born rule from algebraic properties
Extension of quantum interpretation to indefinite norm framework
Potential implications for quantum measurement theory
Abstract
The Born postulate can be reduced to its deterministic content that only applies to eigenvectors of observables: the standard probabilistic interpretation of generic states then follows from algebraic properties of repeated measurements and states. Extending this reasoning suggests an interpretation of quantum mechanics generalized with indefinite quantum norm.
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