时空非交换性仅仅是导数的非交换性吗？
Is the Space-Time Non-Commutativity Simply Non-Commutativity of Derivatives?
摘要：
近年来，在经典分析中，当函数依赖同时存在显式和隐式时，偏导数的定义出现了一些问题。在这次演讲中，我们将研究这一观测对量子力学和经典/量子场论的影响。令人惊讶的是，坐标相关算子的某些因子不等于零。因此，我们试图为现代非对易理论提供数学基础。我们还指出了可能的应用中的Dirac理论。
英文摘要：
Recently, some problems have been found in the definition of the partial derivative in the case of the presence of both explicit and implicit functional dependencies in the classical analysis. In this talk we investigate the influence of this observation on the quantum mechanics and classical/quantum field theory. Surprisingly, some commutators of the coordinate-dependent operators are not equal to zero. Therefore, we try to provide mathematical foundations to the modern non-commutative theories. We also indicate possible applications in the Dirac-like theories.
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。
