复八元数的引力面积量子
Quantum of area from gravitation on complex octonions
摘要：
利用自旋为1/2的粒子在固定靶上的弹性散射，在欧氏度规的1/ |x|势中，由自旋贡献出现最小散射截面。这被解释为早期提出的四维欧几里得量子引力算子公式的半经典极限，使用非结合复八元数代数，这被理解为观察的面积量子：有限（量子化）电荷的存在产生相互作用的最小面积元素。这表明，建立在量子化面积元素基本假设上的模型（即在圈量子引力中）原则上可以在非量子极限下近似于广义相对论。
英文摘要：
Using spin 1/2 particle elastic scattering on a fixed target, in a 1/|x| potential on Euclidean metric, a minimum scattering cross section appears from the spin contribution. Interpreted as semi-classical limit of an earlier proposed operator formulation of four dimensional Euclidean quantum gravity, using non-associative complex octonion algebra, this is understood as an area quantum for the observation: Existence of finite (quantized) charges yields a minimum area element of interaction. This suggests that models built on the fundamental assumption of a quantized area element (namely as in Loop Quantum Gravity) may in principle approximate General Relativity in the non-quantum limit.
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