Outline of a Generalization and a Reinterpretation of Quantum Mechanics Recovering Objectivity

Abstract

The ESR model has been recently proposed in several papers to offer a possible solution of the problems raising from the nonobjectivity of physical properties in quantum mechanics (QM) (mainly the objectification problem of the quantum theory of measurement). This solution is obtained by embodying the mathematical formalism of QM into a broader mathematical framework and reinterpreting quantum probabilities as conditional on detection rather than absolute. We provide a new and more general formulation of the ESR model and discuss time evolution according to it, pointing out in particular that both linear and nonlinear evolution may occur, depending on the physical environment.

36 pages, standard LateX, minor revisions in Section 7, Acknowledgments and some References added

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• Non-Contextual and Local Hidden-Variable Model for the Peres-Mermin and Greenberger-Horne-Zeilinger Systems
• Kolmogorovian versus non-Kolmogorovian probabilities in contextual theories