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Natural TeV-Scale Gravity and coupling constant unification, in Heterotic M-Theory, with the usual hidden and visible sectors swapped

Chris Austin
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Abstract

I consider a class of Grand Unified models, in which E8 is broken to SU(3)xSU(2)xSU(2)xSU(2)xU(1)_Y, then to SU(3)xSU(2)_{diag}xU(1)_Y. The breaking of (SU(2))^3 to SU(2)_{diag} reduces the SU(2) coupling constant, at unification, by a factor of 1/\sqrt{3}, so that the ratio of the SU(3) and SU(2)_{diag} coupling constants, at unification, is equal to the ratio observed at about 1 TeV. By choosing a suitable alignment of U(1)_Y, and introducing a generalization of the CKM matrix, the U(1)_Y coupling constants of the observed fermions, at unification, can also be arranged to have the ratios, to the SU(3) coupling constant, that are observed at about 1 TeV. This suggests a model of Heterotic M-Theory, with a standard embedding of the spin connection in one of the E8s, but with the visible sector now having the E8 that is unbroken at unification. The universe is pictured as a thick pipe, where the long direction of the pipe represents the four extended dimensions, the circumference represents a compact six-manifold, and the radial direction represents the eleventh dimension. The inner radius of the pipe is about 10^{-19} metres, and the outer radius of the pipe is about 10^{-14} metres. We live on the inner surface of the pipe. The low-energy generation structure and the high mass of the top quark follow from the breaking pattern, and gravity and the Yang-Mills interactions are unified at about 1 TeV. Parity breaking must occur spontaneously in four dimensions, rather than being inherited from ten dimensions. The stability of the proton might be correlated with the entries in the CKM matrix.

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Chris Austin. 2002-01-15. Natural TeV-Scale Gravity and coupling constant unification, in Heterotic M-Theory, with the usual hidden and visible sectors swapped. https://arxiv.org/abs/hep-th/0201098

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