Plotnitsky Arkady
Literature, Theory, Cultural Studies Program, Purdue University, West Lafayette, IN 47907, USA.
Philosophy and Literature Program, Purdue University, West Lafayette, IN 47907, USA.
Entropy (Basel). 2023 Apr 24;25(5):706. doi: 10.3390/e25050706.
This article considers a rarely discussed aspect, the no-cloning principle or postulate, recast as the uniqueness postulate, of the mathematical modeling known as quantum-like, Q-L, modeling (vs. classical-like, C-L, modeling, based in the mathematics adopted from classical physics) and the corresponding Q-L theories beyond physics. The principle is a transfer of the no-cloning principle (arising from the no-cloning theorem) in quantum mechanics (QM) to Q-L theories. My interest in this principle, to be related to several other key features of QM and Q-L theories, such as the irreducible role of observation, complementarity, and probabilistic causality, is connected to a more general question: What are the ontological and epistemological reasons for using Q-L models vs. C-L ones? I shall argue that adopting the uniqueness postulate is justified in Q-L theories and adds an important new motivation for doing so and a new venue for considering this question. In order to properly ground this argument, the article also offers a discussion along similar lines of QM, providing a new angle on Bohr's concept of complementarity via the uniqueness postulate.
本文探讨了一个鲜有讨论的方面，即被重塑为唯一性假设的不可克隆原理或假设，这一原理存在于被称为类量子（Q-L）建模的数学建模中（与基于从经典物理学采用的数学的类经典（C-L）建模相对）以及物理学之外相应的Q-L理论中。该原理是量子力学（QM）中的不可克隆原理（源自不可克隆定理）向Q-L理论的转移。我对这一原理感兴趣，它与QM和Q-L理论的其他几个关键特征相关，比如观察的不可约作用、互补性和概率因果性，这与一个更普遍的问题相关：使用Q-L模型而非C-L模型的本体论和认识论原因是什么？我将论证，在Q-L理论中采用唯一性假设是合理的，这为采用该假设增添了一个重要新动机，并为思考这个问题提供了一个新途径。为了恰当地支撑这一论点，本文还对QM进行了类似探讨，通过唯一性假设为玻尔的互补性概念提供了一个新视角。
