A paradigm shift in mathematical physics, Part 4: Quantum computers and the local realism of all 4 Bell states

Authors

  • Jeffrey H. Boyd retired

DOI:

https://doi.org/10.24297/jam.v11i7.1224

Keywords:

Theory of Elementary Waves, TEW, local realism, quantum computers, entanglement, bi-rays, EPR Bell states, entanglement swapping, quantum information

Abstract

Can quantum information systems be understood using local realism? The consensus is No. Quantum information is based on qubits and Bell states. According to conventional wisdom these cannot be understood using local realism. Invariably local realism is assumed, incorrectly, to refer only to the Einstein, Podolsky and Rosen (EPR) model. Today a radically different model of local realism has arisen. The Theory of Elementary Waves (TEW) is incompatible with Einsteins picture of reality but nevertheless is local and realistic. We show that the Bell test experiments that invalidate EPR, validate TEW! This article uses TEW to reproduce all four Bell states. From TEW we derive the Bell states. We also show that TEW can explain an experiment using remote entangled photons that have no shared history, which are entangled because ofentanglement swapping. The implications of our study for quantum information theory are unclear, except that the term nonlocal should be replaced with a more precise and fruitful term. Nonlocal is vague and misleading. Elementary ray is a verifiable and precisely defined term that can replace it. This paradigm shift could inspire a new generation of quantum information experiments. 

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Author Biography

Jeffrey H. Boyd, retired

Dr. Boyd was born in 1943 in northern New Jersey, USA, the son of a factory worker family in which no one had ever been to college. In high school he helped his father dig a basement by hand, using a pick, shovel and wheelbarrow. Boyd chose which college to apply to based on which one had the best applied math department. Boyd’s undergraduate degree in mathematics was from Brown University in 1965. He has post-graduate degrees from Harvard, Yale and Case Western Reserve Universities, has served on the research faculty of the National Institutes of Health for seven years, and has been on the faculty of the Yale Medical School. His day job is as a physician: a psychiatrist. Boyd retired after a quarter century at Waterbury Hospital, Waterbury CT, a Yale teaching hospital where he had served as chairman of behavioral health and chairman of ethics. Almost half a century ago Boyd abandoned his first love (mathematics) because of his belief that no mathematician over the age of 25 ever discovered anything important, and he was rapidly approaching that age. He wanted to be in a field where age and experience counted for you, not against you. A rewarding career in medicine followed. Then Andrew Wiles proved Fermat’s last theorem at age forty and Lewis Little discovered elementary waves at age fifty-two. With this series of articles in JAM the author discovered, to his astonishment, that age is not the main determinant of whether there are mathematical neurons in one’s skull. Boyd has published in the New England Journal of Medicine, Journal of Advances in Physics, Journal of Advances in Mathematics and Physics Essays.

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Published

2015-11-20

How to Cite

Boyd, J. H. (2015). A paradigm shift in mathematical physics, Part 4: Quantum computers and the local realism of all 4 Bell states. JOURNAL OF ADVANCES IN MATHEMATICS, 11(7), 5476–5493. https://doi.org/10.24297/jam.v11i7.1224

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Articles