论文标题
代数熵和时间的箭头
Algebraical Entropy and Arrow of Time
论文作者
论文摘要
通常，假定时间的不可逆性仅在巨摩托学中出现。在这里，我们试图引入时间物理箭头，假设在基本层面上的性质可能是非缔合性的。在非缔合情况下，获得至少三个成分的测量结果：对象，设备和观察者，这取决于操作的订购，这是模棱两可的。我们表明，在任何测量中，使用八粒作为基本代数，都会导致产生不可避免的18.6 〜1位相对熵的主动和被动转换的概率密度函数，分别对应于G2组等组（7）。该代数熵可用于确定时间的箭头，就像热力学熵一样。
Usually, it is supposed that irreversibility of time appears only in macrophysics. Here, we attempt to introduce the microphysical arrow of time assuming that at a fundamental level nature could be non-associative. Obtaining numerical results of a measurement, which requires at least three ingredients: object, device and observer, in the non-associative case depends on ordering of operations and is ambiguous. We show that use of octonions as a fundamental algebra, in any measurement, leads to generation of unavoidable 18.6~bit relative entropy of the probability density functions of the active and passive transformations, which correspond to the groups G2 and SO(7), respectively. This algebraical entropy can be used to determine the arrow of time, analogically as thermodynamic entropy does.
