Einstein-Cartan gravity excludes extra dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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3 pages

Scientific paper

We show that the electron in the Riemann-Cartan spacetime with extra
dimensions has a finite size that is much larger than the experimental upper
limit on its radius. Thus the Arkani-Hamed-Dimopoulos-Dvali and Randall-Sundrum
models of the weak/Planck hierarchy in particle physics are not viable if spin
produces torsion according to the Einstein-Cartan theory of gravity.

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