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一种用于人类认知与语言的普朗克辐射及量子化方案。

A Planck Radiation and Quantization Scheme for Human Cognition and Language.

作者信息

Aerts Diederik, Beltran Lester

机构信息

Center Leo Apostel, Vrije Universiteit Brussel, Brussels, Belgium.

出版信息

Front Psychol. 2022 Apr 19;13:850725. doi: 10.3389/fpsyg.2022.850725. eCollection 2022.

Abstract

As a result of the identification of "identity" and "indistinguishability" and strong experimental evidence for the presence of the associated Bose-Einstein statistics in human cognition and language, we argued in previous work for an extension of the research domain of quantum cognition. In addition to quantum complex vector spaces and quantum probability models, we showed that quantization itself, with words as quanta, is relevant and potentially important to human cognition. In the present work, we build on this result, and introduce a powerful radiation quantization scheme for human cognition. We show that the lack of independence of the Bose-Einstein statistics compared to the Maxwell-Boltzmann statistics can be explained by the presence of a 'meaning dynamics," which causes words to be attracted to the same words. And so words clump together in the same states, a phenomenon well known for photons in the early years of quantum mechanics, leading to fierce disagreements between Planck and Einstein. Using a simple example, we introduce all the elements to get a better and detailed view of this "meaning dynamics," such as micro and macro states, and Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac numbers and weights, and compare this example and its graphs, with the radiation quantization scheme of a Winnie the Pooh story, also with its graphs. By connecting a concept directly to human experience, we show that entanglement is a necessity for preserving the "meaning dynamics" we identified, and it becomes clear in what way Fermi-Dirac addresses human memory. Within the human mind, as a crucial aspect of memory, in spaces with internal parameters, identical words can nevertheless be assigned different states and hence realize locally and contextually the necessary distinctiveness, structured by a Pauli exclusion principle, for human thought to thrive.

摘要

由于“同一性”和“不可区分性”的确定,以及在人类认知和语言中存在相关玻色 - 爱因斯坦统计的有力实验证据,我们在先前的工作中主张扩展量子认知的研究领域。除了量子复向量空间和量子概率模型,我们还表明,以词作为量子的量子化本身与人类认知相关且可能具有重要意义。在当前工作中,我们基于这一结果,引入一种用于人类认知的强大辐射量子化方案。我们表明,与麦克斯韦 - 玻尔兹曼统计相比,玻色 - 爱因斯坦统计缺乏独立性可以通过“意义动力学”的存在来解释,这种“意义动力学”会使词相互吸引。于是词会聚集在相同状态,这一现象在量子力学早期对于光子来说是众所周知的,曾导致普朗克和爱因斯坦之间的激烈争论。通过一个简单例子,我们引入所有元素以更好、更详细地了解这种“意义动力学”,比如微观和宏观状态,以及麦克斯韦 - 玻尔兹曼、玻色 - 爱因斯坦和费米 - 狄拉克数及权重,并将这个例子及其图表与一个《小熊维尼》故事的辐射量子化方案及其图表进行比较。通过将一个概念直接与人类经验相联系,我们表明纠缠对于保留我们所确定的“意义动力学”是必要的,并且费米 - 狄拉克以何种方式处理人类记忆也变得清晰起来。在人类思维中,作为记忆的一个关键方面,在具有内部参数的空间里,相同的词仍可被赋予不同状态,从而在局部和情境中实现由泡利不相容原理构建的、对于人类思维蓬勃发展所必需的独特性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/c6d2/9063007/bee23943f9ae/fpsyg-13-850725-g0001.jpg

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