量子电动力学（QED）重整化是一个逻辑parameter，Zeta函数正则化是逻辑无效的，两者都是数学无效的
Quantum Electrodynamics (QED) Renormalization is a Logical Paradox, Zeta Function Regularization is Logically Invalid, and Both are Mathematically Invalid
摘要：
量子电动力学（QED）重整化是一个悖论。它使用欧拉-马斯切罗尼常数，这是由一个条件收敛级数定义的。但是黎曼级数定理证明了任何条件收敛级数都可以重新排列为发散级数。这个矛盾（一个既收敛又发散的级数）是“古典”逻辑、直觉主义逻辑和策梅洛-弗兰克尔集合论中的一个悖论，也与加法的交换和结合性质相矛盾。因此QED在数学上是无效的。Zeta函数正则化使Zeta函数的两个定义在它们矛盾的域值处相等（其中狄利克雷级数定义是发散的，而黎曼定义是收敛的）。这样做要么会产生一个悖论（如果黎曼的定义为真），要么在逻辑上是无效的（如果黎曼的定义为假）。我们表明，黎曼的定义是假的，因为推导黎曼的定义包括一个矛盾：使用汉克尔轮廓和柯西积分定理。此外，Zeta函数的第三个定义被证明是错误的。由于Zeta函数没有零点，所以黎曼假设是一个悖论，这是由于物质蕴涵和“空主体”。
英文摘要：
Quantum Electrodynamics (QED) renormalizaion is a paradox. It uses the Euler-Mascheroni constant, which is defined by a conditionally convergent series. But Riemann's series theorem proves that any conditionally convergent series can be rearranged to be divergent. This contradiction (a series that is both convergent and divergent) is a paradox in "classical" logic, intuitionistic logic, and Zermelo-Fraenkel set theory, and also contradicts the commutative and associative properties of addition. Therefore QED is mathematically invalid. Zeta function regularization equates two definitions of the Zeta function at domain values where they contradict (where the Dirichlet series definition is divergent and Riemann's definition is convergent). Doing so either creates a paradox (if Riemann's definition is true), or is logically invalid (if Riemann's definition is false). We show that Riemann's definition is false, because the derivation of Riemann's definition includes a contradiction: the use of both the Hankel contour and Cauchy's integral theorem. Also, a third definition of the Zeta function is proven to be false. The Zeta function has no zeros, so the Riemann hypothesis is a paradox, due to material implication and "vacuous subjects".
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。
