论文标题
零点重力场方程
Zero-point gravitational field equations
论文作者
论文摘要
我们研究了最近报道的RICCI（BI）标量$ r _ {（q）} $的Qmetric（或零点长度）表达式（即，在内置的极限长度$ L_0 $中，RICCI标量的表达式表达式，专门针对无效分开事件的情况。这些表达式的一个功能是，当在巧合限制$ p \ to p $中考虑时，它们通常表现出对大地测量的依赖，而变化的点$ p $接近$ p $，对$ p $如何$ p $进行记忆。这一事实要求对数量$ r _ {（q）} $的含义有更深入的了解，因为后者讲述了时空的整体曲率，$ p $，并且不应该取决于我们可能会考虑$ p $的任何向量。在这里，我们试图搜索一个框架，在这种框架中，这两个显然相互矛盾的方面可能会始终如一地调和。我们发现了一种试探性的意义，可以通过赋予特定操作含义的时空来实现这一点。但是，这是以时空不再任意的价格（或受益）的，但从特定的意义上讲，这是受到限制的。事实证明，约束是大规模（与$ l_0 $相比）与物质内容（即字段方程）之间的关系形式。这要归功于某些事情与（物质和时空）交换热量的平衡表达相吻合，即热力学变化原理，据报道，该原理据报道是可衍生的。这建立了（对此特定的操作理解）$ r _ {（q）} $在另一侧的极限表达的含义与另一侧的（大规模）字段方程的含义，这样，这种方式将（再次）重新连接到量子功能。
We study the recently reported qmetric (or zero-point-length) expressions of the Ricci (bi)scalar $R_{(q)}$ (namely, expressions of the Ricci scalar in a spacetime with a limit length $L_0$ built in), focusing specifically on the case of null separated events. A feature of these expressions is that, when considered in the coincidence limit $p \to P$, they generically exhibit a dependence on the geodesic along which the varying point $p$ approached $P$, sort of memory of how $p$ went to $P$. This fact demands a deeper understanding of the meaning of the quantity $R_{(q)}$, for this latter tells about curvature of spacetime as a whole at $P$ and would not be supposed to depend on whichever vector we might happen to consider at $P$. Here, we try to search for a framework in which these two apparently conflicting aspects might be consistently reconciled. We find a tentative sense in which this could be achieved by endowing spacetime of a specific operational meaning. This comes, however, at the price (or with the benefit) of having a spacetime no longer arbitrary but, in a specific sense, constrained. The constraint turns out to be in the form of a relation between spacetime geometry in the large scale (as compared to $L_0$) and the matter content, namely as sort of field equations. This comes thanks to something which happens to coincide with the expression of balance of (matter and spacetime) exchanged heats, i.e. the thermodynamic variational principle from which the field equations have been reported to be derivable. This establishes a link between (this specific, operational understanding of) the meaning of the limit expression of $R_{(q)}$ on one side and the (large-scale) field equations on the other, this way reconnecting (once more) the latter to a quantum feature.
