Why Do Elementary Particles Have Such Strange Mass Ratios?—The Importance of Quantum Gravity at Low Energies

When gravity is quantum, the point structure of space-time should be replaced by a non-commutative geometry. This true even for quantum in infrared. Using octonions as coordinates, we construct pre-spacetime, pre-quantum Lagrangian dynamics. We show that symmetries this space unify standard model particle physics with $SU(2)_R$ chiral gravity. The algebra octonionic yields spinor states which can identified three generations quarks and leptons. geometry implies quantisation electric charge, leads to theoretical derivation mysterious mass ratios charged Quantum not only gravitational field, but also space-time.