The observed value of the cosmological constant poses large theoretical problems. We find that topology of the Universe provides a natural source for it. Restricting dynamically an Einstein–Cartan gravity to General Relativity in our observed Universe allows topological invariants to induce an effective cosmological constant from dynamical quintessence-like topological fields. Its evaluation through the boundary of black holes yields a range compatible with the observed value, with uncertainty of three orders of magnitude. In turns, it provides a measurement of the Universe’s isoperimetric constant. As in other dark energy studies, quantum vacuum energy corrections are left for quantum gravity studies to explain away.

宇宙常数的观测值带来了很大的理论问题。我们发现宇宙的拓扑为其提供了自然的来源。在我们观察到的宇宙中将爱因斯坦-卡丹引力动态地限制在广义相对论中，拓扑不变式可以从类似于动态精粹的拓扑场中诱导出有效的宇宙常数。通过黑洞边界进行的评估得出的范围与观测值兼容，不确定性为三个数量级。反过来，它提供了宇宙等静常数的度量。与其他暗能量研究一样，量子真空能量校正留给量子引力研究来解释。