The regular histories formulation of quantum theory

作者: Roman Priebe

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摘要: A measurement-independent formulation of quantum mechanics called ‘regular histories’ (RH) is presented, able to reproduce the predictions standard formalism without need for a quantum-classical divide or presence an observer. It applies closed systems and features no wave-function collapse. Weights are assigned only histories satisfying criterion ‘regularity’. As set regular not under Boolean operations this requires new concept weight, ‘likelihood’. Remarkably, single change enough overcome many well-known obstacles sensible interpretation mechanics. For example, Bell’s theorem, which makes essential use probabilities, places constraints on locality properties theory based likelihoods. Indeed, RH both counterfactually definite free from action-at-a-distance. Moreover, in meaningful exactly those that can be witnessed at least principle. Since it especially difficult make sense probability whose occurrence intrinsically indeterminable, likelihoods easier justify than probabilities. Interaction with environment causes kinds relevant macroscopic scale human experience witnessable indeed generate algebras histories, reduce ordinary Furthermore, formal notion inference defined satisfies, when restricted such algebras, classical axioms implication, explaining our perception largely world. Even context general rules reasoning remarkably intuitive. Classical logic must amended reflect fundamental premise one cannot meaningfully talk about unwitnessable histories. Crucially, different same ‘physical content’ interpreted way independently family they expressed. thereby rectifies critical flaw its inspiration, consistent (CH) approach, either as yet unknown selection rule paradigm shift towards unconventional picture reality elements histories-with-respect-to-a-framework. argued compares favourably other proposed interpretations resolves measurement problem while retaining essentially worldview parallel universes, framework-dependent

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