论文标题
参数化拉格朗日田地理论之间强烈出现的公理化建议和全局存在定理
An Axiomatization Proposal and a Global Existence Theorem for Strong Emergence Between Parameterized Lagrangian Field Theories
论文作者
论文摘要
在本文中，我们提出了一个公理化，以根据其他参数在现场理论之间强烈出现现象的概念，我们称之为参数化字段理论。我们提供足够的条件，以确保两个给定的Lagrangian理论之间存在这种现象。更确切地说，我们证明，根据在具有明确定义的绿色函数的差分运算符上评估的每个多元多项式理论（或更一般而言，在某些扩展的感觉中具有右式）的差分运算符中，根据每个多元多项式理论出现了拉格朗日田地理论。作为一个激励的例子，我们表明，在真实或复杂的标量场理论的背景下，从非义务中产生的重力现象可以从我们的出现定理中恢复。我们还表明，在相同的情况下，我们也可以期望倒数，即，非交易性可能会从重力中出现。分析了其他一些特定情况。
In this paper we propose an axiomatization for the notion of strong emergence phenomenon between field theories depending on additional parameters, which we call parameterized field theories. We present sufficient conditions ensuring the existence of such phenomena between two given Lagrangian theories. More precisely, we prove that a Lagrangian field theory depending linearly on an additional parameter emerges from every multivariate polynomial theory evaluated at differential operators which have well-defined Green functions (or, more generally, that has a right-inverse in some extended sense). As a motivating example, we show that the phenomenon of gravity emerging from noncommutativy, in the context of a real or complex scalar field theory, can be recovered from our emergence theorem. We also show that, in the same context, we could also expect the reciprocal, i.e., that noncommutativity could emerge from gravity. Some other particular cases are analyzed.
