论文标题
为什么基本粒子具有如此奇怪的质量比？ - 量子重力在低能
Why do elementary particles have such strange mass ratios? -- The role of quantum gravity at low energies
论文作者
论文摘要
当重力是量子时，时空的点结构应被非交流性几何形状取代。即使是红外线中的量子重力，也是如此。使用八元子作为时空坐标，我们构建了空间前的量子前拉格朗日动力学。我们表明，这个非共同空间的对称性将粒子物理的标准模型与$ su（2）_r $手性重力统一。八元空间的代数产生旋转状态，可以用三代夸克和叶子识别。空间的几何形状意味着电荷的定量，并导致夸克和带电的叶子的神秘质量比的理论推导。量子重力不仅是重力场的定量，而且是时空的点结构的定量。
When gravity is quantum, the point structure of space-time should be replaced by a non-commutative geometry. This is true even for quantum gravity in the infrared. Using the octonions as space-time coordinates, we construct a pre-spacetime, pre-quantum Lagrangian dynamics. We show that the symmetries of this non-commutative space unify the standard model of particle physics with $SU(2)_R$ chiral gravity. The algebra of the octonionic space yields spinor states which can be identified with three generations of quarks and leptons. The geometry of the space implies quantisation of electric charge, and leads to a theoretical derivation of the mysterious mass ratios of quarks and the charged leptons. Quantum gravity is quantisation not only of the gravitational field, but also of the point structure of space-time.
