Contextual Inferences, Nonlocality, and the Incompleteness of Quantum Mechanics

Area of Science:

• Quantum Physics
• Foundations of Quantum Mechanics

Background:

• Quantum non-locality arises from violations of Bell's inequality and classical local realism.
• These violations are linked to elementary locality and predictive completeness.

Purpose of the Study:

• To demonstrate quantum mechanics' predictive incompleteness.
• To explain how contextual inferences resolve the apparent conflict between quantum non-locality and relativistic causality.
• To propose a method for completing the quantum state (ψ) by specifying measurement contexts.

Main Methods:

• Analysis of quantum non-locality through the lens of predictive completeness.
• Examination of contextual inferences in quantum mechanics.
• Development of arguments for completing the quantum state via measurement context.

Main Results:

• Quantum mechanics violates predictive completeness, necessitating contextual inferences.
• Contextual inferences reconcile quantum non-locality with relativistic causality.
• The quantum state (ψ) is best completed by defining the measurement context.

Conclusions:

• Predictive completeness is crucial for understanding quantum phenomena.
• Measurement context, not hidden variables, provides the necessary completion for the quantum state.
• This approach clarifies the relationship between quantum non-locality and relativistic causality.