论文标题
迈向公理化和对拉格朗日田地理论之间强烈出现现象的一般结果
Towards Axiomatization and General Results on Strong Emergence Phenomena Between Lagrangian Field Theories
论文作者
论文摘要
在本文中,我们提出了一个正式的定义,即两种参数化的场理论之间的强烈出现现象,并提出了足够的条件,以确保在两个给定的参数化拉格朗日田地理论之间存在这种现象。更准确地说,我们证明在欧几里得背景下,典型的参数化动力学理论从任何椭圆形多元多项式理论中出现。给出了一些具体的例子,并与非交换性产生的重力现象有联系。
In this paper we propose a formal definition of what is a strong emergence phenomenon between two parameterized field theories and we present sufficient conditions ensuring the existence of such phenomena between two given parameterized Lagrangian field theories. More precisely, we prove that in an Euclidean background, typical parameterized kinetic theories emerge from any elliptic multivariate polynomial theories. Some concrete examples are given and a connection with the phenomenon of gravity emerging from noncommutativity is made.