PIRSA:13100085

Can ‘sub-quantum’ theories based on a background field escape Bell’s no-go theorem ?

Vervoort, L. (2013). Can ‘sub-quantum’ theories based on a background field escape Bell’s no-go theorem ? . Perimeter Institute. https://pirsa.org/13100085

Vervoort, Louis. Can ‘sub-quantum’ theories based on a background field escape Bell’s no-go theorem ? . Perimeter Institute, Oct. 15, 2013, https://pirsa.org/13100085 

          @misc{ pirsa_PIRSA:13100085,
            doi = {10.48660/13100085},
            url = {https://pirsa.org/13100085},
            author = {Vervoort, Louis},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Can {\textquoteleft}sub-quantum{\textquoteright} theories based on a background field escape Bell{\textquoteright}s no-go theorem ? },
            publisher = {Perimeter Institute},
            year = {2013},
            month = {oct},
            note = {PIRSA:13100085 see, \url{https://pirsa.org}}
          }

Louis Vervoort Université de Montréal

DOI 10.48660/13100085
Collection
Talk Type Scientific Series
Subject

Abstract

In systems described by Ising-like Hamiltonians, such as spin-lattices, the Bell Inequality can be strongly violated. Surprisingly, these systems are both local and non-superdeterministic. They are local, because 1) they include only local, near-neighbor interaction, 2) they satisfy, accordingly, the Clauser-Horne factorability condition, and 3) they can violate the Bell Inequality also in dynamic Bell experiments. Starting from this result we construct an elementary hidden-variable model, based on a generalized Ising Hamiltonian, describing the interaction of the Bell-particles with a stochastic ‘background’ medium. We suggest that such a model is a simple version of a variety of recently developed ‘sub-quantum’ theories, by authors as Nelson, Adler, De la Pena, Cetto, Groessing, Khrennikov, all based on a background field. We investigate how the model might be turned into a realistic theory. Finally, it appears that background-based models can be tested and discriminated from quantum mechanics by a straightforward extension of existing experiments.