What relationship, if any, could there be between the way we view reality and Bell's inequality theorem?

Question

Please explain exactly why you are making the point you're making.

Answer 1

Interesting question! Well,Bell's inequality theorem has to do with the nature of reality as it relates to quantum theory. BELL'S THEOREM PROVES PHYSICAL REALITY MUST BE NON-LOCAL.
One way of conceptualizing the world is the ART schema proposed by Immanuel Kant and others where ART stands for Appearance, Reality and Theory. Appearance is the facts of experience, both inner and outer, Reality is the hidden causes behind these Appearances, and Theory is the stories we tell one another about both Appearance and Reality.

Physics concerns itself only with outer experiences not inner and the primary physics Story About Appearances is Quantum Theory which describes without error the complete range of Quantum Facts. A particular class of quantum facts concerns the EPR experiment (named after Einstein, Podolski and Rosen) in which two quantum particles A and B which were once together fly apart and are measured at two distant locations A and B.

In the Quantum Theory, observer A's choice of what kind of measurement to make on particle A instantly changes the state description of particle B--a general feature of quantum theory called "quantum phase entanglement". In the theory a particle is represented by possibility amplitudes and relative phases. When the particles separate, so do the amplitudes, but the phases of particle A remain entangled with the phases of particle B. Any action on A--such as an observation--changes not only A's phases but the phases of B as well.
This action of observer A on distant particle B does not diminish with distance, cannot be shielded and travels faster than light. This (in theory) distant influence is unmediated, unmitigated and immediate. This (in theory) quantum connection between two particles once together now apart is a lot like voodoo--no known force connects particles A and B--just the fact of their once being together suffices to mingle their phases.
(In the jargon of physics such instant voodoo influences are called "non-local"; all ordinary light-speed-limited forces are called "local")

This theory and what it means for our perception of reality, may make it the most important question in philosophy and the way we think of what is "real". Great question!