标题： 无穷大作为我们无知的度量 显示英文标题

标题： Infinities as a measure of our ignorance

摘要： 引力的量子化为宇宙学中奇点的存在提供了一个解决方案。由于时空有限量子的存在，无穷大被消除了。这是圈量子引力最重要的预测之一。但是，将引力与其他量子场论同等对待会引入不同类型的无穷大：重整化过程中的无穷大。在圈量子引力的协变表述（自旋泡沫）中，这种无穷大通过宇宙常数的存在得到了抑制。这两个结果都受到物理学中无穷大出现的一种特定观点的指导：这仅仅被视为理论需要改进的一个标志。它源于我们有限的知识，并非自然的基本事实。 显示英文摘要

摘要： The quantization of gravity offers a solution to the presence of singularities in cosmology. Infinities are removed because of the existence of finite quanta of spacetime. This is one of the most important prediction of Loop Quantum Gravity. But treating gravity on the same footing as the other quantum field theories introduces a different kind of infinities: the ones from the renormalization procedure. In the covariant formulation of Loop Quantum Gravity (Spinfoam) this kind of infinities are tamed by the presence of the cosmological constant. These two results are guided by a specific perspective on the appearance of infinity in physics: this is just interpreted as a signpost that the theory should be improved. It arises from our limited knowledge, and not as a fundamental fact of nature.