作为量子引力基础的连续介质的无点模型
A Pointless Model for the Continuum as the Foundation for Quantum Gravity
摘要：
在本文中，我们概述了一种新的方法，量子引力，描述状态的一个有界区域的时空作为本征态的两类物理上合理的gedanken实验。我们最终得到两个互补的描述，其中点集连续统消失了。第一种是用循环空间的体分解代替事件的连续体。我们猜想，技术fron代数拓扑将允许我们扩展状态和模型的时空循环空间。第二幅图用非分配格代替了连续统;在这幅图中，经典极限似乎更易处理。
英文摘要：
In this paper, we outline a new approach to quantum gravity; describing states for a bounded region of spacetime as eigenstates for two classes of physically plausible gedanken experiments. We end up with two complementary descriptions in which the point set continuum disappears. The first replaces the continuum of events with a handlebody decomposition of loop space. We conjecture that techniques fron algebraic topology will allow us to extend state sum models on spacetime to loop space. The second picture replaces the continuum with a nondistributive lattice; the classical limit seems more tractible in this picture.
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