拉格朗日场论之间强涌现现象的公理化和一般结果
Towards Axiomatization and General Results on Strong Emergence Phenomena Between Lagrangian Field Theories
摘要：
在本文中，我们提出了一个正式的定义是什么是一个强涌现现象之间的两个参数化场论，我们提出了充分条件，确保存在这样的现象之间的两个给定的参数化拉格朗日场论。更确切地说，我们证明了在欧几里德背景下，典型的参数化动力学理论出现在任何椭圆多元多项式理论。给出了一些具体的例子，并与非对易性产生的引力现象建立了联系。
英文摘要：
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.
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