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Correlation measure equivalence in dynamic causal structures of quantum gravity

机译：动态因果关联测量等价性量子引力的结构

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Summary We prove an equivalence transformation between the correlation measure functions of the causally unbiased quantum gravity space and the causally biased standard space. The theory of quantum gravity fuses the dynamic (nonfixed) causal structure of general relativity and the quantum uncertainty of quantum mechanics. In a quantum gravity space, the events are causally nonseparable and all time bias vanishes, which make it no possible to use the standard causally biased entropy and the correlation measure functions. Since a corrected causally unbiased entropy function leads to an undefined, obscure mathematical structure, in our approach, the correction is made in the data representation of the causally unbiased space. Here, we prove that the standard causally biased entropy function with a data correction can be used to identify correlations in dynamic causal structures. As a corollary, all mathematical properties of the causally biased correlation measure functions are preserved in the causally unbiased space. The equivalence transformation allows us to measure correlations in a quantum gravity space with the stable, well‐defined mathematical background and apparatus of the causally biased functions of quantum Shannon theory.
机译：xml: id = " que230 - abs - 0001 " > 摘要我们证明之间的等价转换相关的测量功能有关公正的量子引力空间和原因有偏见的标准空间。重力融合动态(nonfixed)因果广义相对论和量子结构量子力学的不确定性。重力空间,是因果的事件不可分的,所有时间偏差消失,这使它不可能使用标准的原因有偏见的熵和相关措施功能。熵函数导致未定义,模糊在我们的方法中,数学结构修正的数据表示会公正的空间。标准会有偏熵函数可以用来识别与数据校正相关性在动态因果结构。推论,所有的数学性质有原因地偏见相关测量功能保存在由公正的空间。等效变换允许我们来衡量在量子引力空间相关性稳定、良好的数学背景和定义的有原因地偏向功能的装置量子香农理论。

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