Embedding Quantum Mechanics Into a Broader Noncontextual Theory: A Conciliatory Result

Abstract

The extended semantic realism (ESR) model embodies the mathematical formalism of standard (Hilbert space) quantum mechanics in a noncontextual framework, reinterpreting quantum probabilities as conditional instead of absolute. We provide here an improved version of this model and show that it predicts that, whenever idealized measurements are performed, a modified Bell-Clauser-Horne-Shimony-Holt (BCHSH) inequality holds if one takes into account all individual systems that are prepared, standard quantum predictions hold if one considers only the individual systems that are detected, and a standard BCHSH inequality holds at a microscopic (purely theoretical) level. These results admit an intuitive explanation in terms of an unconventional kind of unfair sampling and constitute a first example of the unified perspective that can be attained by adopting the ESR model.

24 pages, standard Latex, Extensively revised version

References in corpus (7)

• Hidden Variables and the Two Theorems of John Bell
• Is the Fair Sampling Assumption supported by EPR Experiments?
• Against `Realism'
• Bell's inequality: Physics meets Probability
• A Hilbert Space Representation of Generalized Observables and Measurement Processes in the ESR Model
• Quantum Machine and SR Approach: a Unified Model
• Reinterpreting Quantum Probabilities in a Realistic and Local Framework: The Modified BCHSH Inequalities

Cited by in corpus (12)

• Generalized Observables, Bell's Inequalities and Mixtures in the ESR Model for QM
• Positive Operator Valued Measures and Feller Markov Kernels
• A Hilbert Space Representation of Generalized Observables and Measurement Processes in the ESR Model
• Recovering Quantum Logic within an Extended Classical Framework
• A Pragmatic Interpretation of Quantum Logic
• Extended Representations of Observables and States for a Noncontextual Reinterpretation of QM
• Outline of a Generalization and a Reinterpretation of Quantum Mechanics Recovering Objectivity
• A survey of the ESR model for an objective reinterpretation of quantum mechanics
• Finite Local Models for the GHZ Experiment
• A Pragmatic Interpretation of Quantum Logic
• The Quantum Harmonic Oscillator in the ESR Model
• Simultaneous elements of reality for incompatible properties by exploiting locality