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Most scholars concerned with the foundations of quantum mechanics (QM) thinkthat contextuality and nonlocality (hence nonobjectivity of physicalproperties) are unavoidable features of QM which follow from the mathematicalapparatus of QM. Moreover these features are usually considered as basic inquantum information processing. Nevertheless they raise still unsolvedproblems, as the objectification problem in the quantum theory of measurement.The extended semantic realism (ESR) model offers a possible way out from thesedifficulties by embedding the mathematical formalism of QM into a broadermathematical formalism and reinterpreting quantum probabilities as conditionalon detection rather than absolute. The embedding allows to recover the formalapparatus of QM within the ESR model, and the reinterpretation of QM allows toconstruct a noncontextual hidden variables theory which justifies theassumptions introduced in the ESR model and proves its objectivity. Accordingto the ESR model both linear and nonlinear time evolution occur, depending onthe physical environment, as in QM. In addition, the ESR model, thoughobjective, implies modified Bell's inequalities that do not conflict with QM,supplies different mathematical representations of proper and impropermixtures, provides a general framework in which the local interpretations ofthe GHZ experiment obtained by other authors are recovered and explained, andsupports an interpretation of quantum logic which avoids the introduction ofthe problematic notion of quantum truth.

A survey of the ESR model for an objective reinterpretation of quantum mechanics