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arXiv physics/0105012physics.gen-ph
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所有物理理论的标准和超有限统一

Standard and Hyperfinite Unifications for All Physical Theories

Robert A. Herrmann

摘要:

本文用定义在语言L上的结果算子格的可数子集来表示所有物理理论的集合。建立了自然系统M的有效表示集上存在统一注入U。如果W是M的成员,则U选择一个超逻辑C,使得限制于L的C(*W)是所有物理理论的集合的统一,因为每个理论都应用于W。还存在一个标准注入S,它为M中的每个W选择一个标准的统一结果算子D,其中C(*W)是 *D(*W)的子集。它还显示了如何使用这些统一的运营商,并获得一个产品运营商,具有相同的效果,但在实际意义上,这个运营商是适用于我们的宇宙中的每一个自然系统同时。

英文摘要:

In this paper, the set of all physical theories is represented by a countable subset of the lattice of consequence operators defined on a language L. It is established that there exists a unifying injection U defined on the set of significant representations for natural-systems M. If W is a member of M, then U selects an ultralogic C such that C(*W) restricted to L is a unification for the set of all physical theories as each is applied to W. There also exists a standard injection S that for each W in M selects a standard unifying consequence operator D, where C(*W) is a subset of *D(*W). It is also shown how to use these unifying operators and obtain a product operator that has the same effect but, in a practical sense, this operator is applied to every natural-system within our universe simultaneously.

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。

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