Synopsis of a Unified Theory for All Forces and Matter

Abstract

Assuming the Kaluza-Klein gravity interacting with elementary matter fermions in a (9+1)-dimensional spacetime ($\mathcal{M}_{9+1}$), we propose an information-complete unified theory for all forces and matter. Due to entanglement-driven symmetry breaking, the SO(9,1) symmetry of $\mathcal{M}_{9+1}$ is broken to $SO(3,1)\times SO(6)$, where SO(3,1) [SO(6)] is associated with gravity (gauge fields of matter fermions) in (3+1)-dimensional spacetime ($\mathcal{M}_{3+1}$). The informational completeness demands that matter fermions must appear in three families, each having 16 independent matter fermions. Meanwhile, the fermion family space is equipped with elementary SO(3) gauge fields in $\mathcal{M}_{9+1}$, giving rise to the Higgs mechanism in $\mathcal{M}_{3+1}$ through the gauge-Higgs unification. After quantum compactification of six extra dimensions, a trinity---the quantized gravity, the three-family fermions of total number 48, and their SO(6) and SO(3) gauge fields---naturally arises in an effective theory in $\mathcal{M}_{3+1}$. Possible routes of our theory to the Standard Model are briefly discussed.