论文标题
通过通用适当时间构建的时空组成的量子重力
Quantum Gravity from the Composition of Spacetime Constructed through Generalised Proper Time
论文作者
论文摘要
我们通过识别从适当时间的广义多维形式的子结构构建的连续的4维时空竞技场来描述理论融合量子理论和一般相对性。从物质场含量和扩展的4维时空的几何结构开始,这些实体的性质及其相互对应是通过隐含的约束来得出的。鉴定出的时空的几何结构以明显的物质场含量的固有歧义表现出局部退化的描述,其方式与一般相对论的爱因斯坦田间方程一致,同时还结合了量子现象的特征的内在不确定词。在这里,所有非重力场的量子特性源于时空的组成,而不是通过在时空中应用的一组规则集,该规则被扩展并应用于引力场或时空本身。与其他几种量子重力的方法以及该框架可以单独和组合结合一般相对论和量子理论的基本特性的方式的对比。尽管重点是提供统一的概念基础,但也将描述相关数学框架的发展。
We describe a theory amalgamating quantum theory and general relativity through the identification of a continuous 4-dimensional spacetime arena constructed from the substructures of a generalised multi-dimensional form for proper time. In beginning with neither a matter field content nor the geometric structure of an extended 4-dimensional spacetime the properties of these entities, together with their mutual correspondence, are derived through the constraints implied in founding the theory upon the general form of proper time alone. The geometric structure of the spacetime identified exhibits a locally degenerate description in terms of an inherent ambiguity in the apparent matter field content, in a manner consistent with the Einstein field equation of general relativity while also incorporating an intrinsic indeterminacy that is characteristic of quantum phenomena. Here the quantum properties of all non-gravitational fields arise from this composition of spacetime, rather than via a postulated set of rules applied in spacetime to be extended and applied to the gravitational field or spacetime itself. The contrast with several other approaches to quantum gravity and the manner in which this framework can incorporate the essential properties of general relativity and quantum theory, both individually and in combination, will be elaborated. While emphasis will be upon providing a unifying conceptual basis the development of the associated mathematical framework will also be described.