论实在的本质
On the Nature of Reality
摘要：
现实的本质是什么？这个问题的答案应该是什么？在这个层次上，我们是如此的深刻，以至于我们所有的概念都是模糊的。量子理论（QT）就在这个层次上。对解释它的探索失败了，因为我们在日常语言中的实际基本概念的清晰度无法与理论的数学形式主义的精确度相匹配。对量子力学的解释应该定义并澄清基本概念，而不是简单地依赖它们。量子理论需要一种新的世界观，一种能让它变得容易理解的世界观。我们讨论封闭的和最终的理论，换句话说，完全公理化的理论，定义自己的概念框架，和封闭的理论，不能更简单的制定和解释。我们主张，关于一个理论，我们所能恰当地说的一切都来自于对它的解释，而解释就是说它的每一个数学陈述的意义。我们认为，量子力学是一个封闭的理论，因此，它的一部分是物理学的最终或基本理论（FTP）的一部分。我们提出了一个新的完全公理化的部分量子理论（包括其所有的数学框架），其中新的强大和有用的元素添加到现有的形式主义。我们的解释是直截了当的：它允许我们阅读或说出理论的每个公理，定理或元素的含义。我们指出，所提出的理论是FTP。它的解释可能会消除大多数围绕QT的现有悖论。排中律原则一般不成立。由于它是一种关于知识和真理的理论，因此在该理论中既有认识要素，又有本体要素。这一概念和其他基本概念都是由理论来定义的，它既能代表现实，也能代表我们对现实的认识。
英文摘要：
What is the nature of reality? How should be an answer to this question? At this level, we are so deep that all our concepts are obscure. Quantum theory (QT) is at this level. The quest for interpreting it fails because the clarity of our actual fundamental concepts in ordinary language cannot match the precision of the theory's mathematical formalism. The interpretation of quantum mechanics should define and bring clarity to fundamental concepts; not simply rely over them. Quantum theory requires a new worldview, the one that will make it understandable. We discuss on the formulation and interpretation of closed, and final theories, in other words, completely axiomatic theories that define their own conceptual framework, and closed theories that cannot be made simpler. We claim that everything we can properly say about a theory follows from its interpretation, and that interpreting is saying the meaning of each of its mathematical statements. We argue that quantum mechanics is a closed theory; and, therefore, that part of it is part of the final or fundamental theory of physics (FTP). We propose a new entirely axiomatic formulation of part of quantum theory (including all its mathematical framework) in which new powerful and useful elements are added to the existing formalism. Our interpretation is straightforward: it allows us reading or saying the meaning of each of the theory's axiom, theorem or element. We state that the proposed theory is the FTP. Its interpretation may dissolve most of the existing paradoxes around QT. The principle of excluded middle is not valid in general. Both epistemic and ontic elements are present in the theory since it is a theory of knowledge and truth. This and other fundamental concepts are defined by the theory, which can represent both reality and our knowledge about it. Aesthetics is one of its key features.
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