Christian, Joy (2013) Whither All the Scope and Generality of Bell's Theorem? [Preprint]

Preview

PDF whither.pdf - Accepted Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (459kB)

Abstract

In a recent paper James Owen Weatherall has attempted a simple local-deterministic model for the EPR-Bohm correlation and speculated about why his model fails when my counterexample to Bell's theorem succeeds. Here I bring out the physical, mathematical, and conceptual reasons why his model fails. In particular, I demonstrate why no model based on a tensor representation of the rotation group SU(2) can reproduce the EPR-Bohm correlation. I demonstrate this by calculating the correlation explicitly between measurement results A = +1 or -1 and B = +1 or -1 in a local and deterministic model respecting the spinor representation of SU(2). I conclude by showing how Weatherall's reading of my model is misguided, and bring out a number of misconceptions and unwarranted assumptions in his imitation of my model as it relates to the Bell-CHSH inequalities.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Christian, Joy joy.christian@wolfson.ox.ac.uk
Keywords:	Bell's theorem, EPR Argument, Local Realism, Local Causality, Quantum Mechanics, Determinism, Topologies of Rotation Groups, 3-sphere
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr. Joy Christian
Date Deposited:	15 Oct 2013 12:43
Last Modified:	15 Nov 2013 13:52
Item ID:	10043
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	11 October 2013
URI:	https://philsci-archive.pitt.edu/id/eprint/10043

Available Versions of this Item

• Whither All the Scope and Generality of Bell's Theorem? (deposited 07 Jan 2013 02:23)
  • Whither All the Scope and Generality of Bell's Theorem? (deposited 29 Mar 2013 13:39)
    • Whither All the Scope and Generality of Bell's Theorem? (deposited 23 Aug 2013 13:44)
      • Whither All the Scope and Generality of Bell's Theorem? (deposited 05 Sep 2013 11:47)
        • Whither All the Scope and Generality of Bell's Theorem? (deposited 15 Oct 2013 12:43) [Currently Displayed]
          • Whither All the Scope and Generality of Bell's Theorem? (deposited 15 Nov 2013 13:52)

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item