量子现实过滤器
Quantum Reality Filters
摘要：
非同态逻辑$\ascript ^*$是量子系统所有可能实在的集合。我们的主要目标是找到系统的“实际现实”$ϕ_a\in\ascript ^*$。采用现实过滤器来消除不需要的潜在现实，直到只剩下$ϕ_a$。在本文中，我们考虑三个现实过滤器，通过量子积分构造。如果对于事件$A$上的密度函数$f$，$μ(A)$是关于$ϕ$的量子积分，则量子测度$μ$可以生成或实现$ϕ\in\ascript ^*$。在这个意义上，$μ$是$ϕ$的真值的“平均值”，权重由$f$给出。我们主要讨论这些滤子之间的关系以及它们的存在性和唯一性。例如，我们证明了由量子测度生成的二次实在是唯一的。在这种情况下，我们得到唯一的实际二次实在。
英文摘要：
An anhomomorphic logic $\ascript ^*$ is the set of all possible realities for a quantum system. Our main goal is to find the "actual reality" $ϕ_a\in\ascript ^*$ for the system. Reality filters are employed to eliminate unwanted potential realities until only $ϕ_a$ remains. In this paper, we consider three reality filters that are constructed by means of quantum integrals. A quantum measure $μ$ can generate or actualize a $ϕ\in\ascript ^*$ if $μ(A)$ is a quantum integral with respect to $ϕ$ for a density function $f$ over events $A$. In this sense, $μ$ is an "average" of the truth values of $ϕ$ with weights given by $f$. We mainly discuss relations between these filters and their existence and uniqueness properties. For example, we show that a quadratic reality generated by a quantum measure is unique. In this case we obtain the unique actual quadratic reality.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
