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Fast Vacuum Fluctuations and the Emergence of Quantum Mechanics
Foundations of Physics ( IF 1.2 ) Pub Date : 2021-05-25 , DOI: 10.1007/s10701-021-00464-7
Gerard ’t Hooft

Fast moving classical variables can generate quantum mechanical behavior. We demonstrate how this can happen in a model. The key point is that in classically (ontologically) evolving systems one can still define a conserved quantum energy. For the fast variables, the energy levels are far separated, such that one may assume these variables to stay in their ground state. This forces them to be entangled, so that, consequently, the slow variables are entangled as well. The fast variables could be the vacuum fluctuations caused by unknown super heavy particles. The emerging quantum effects in the light particles are expressed by a Hamiltonian that can have almost any form. The entire system is ontological, and yet allows one to generate interference effects in computer models. This seemed to lead to an inexplicable paradox, which is now resolved: exactly what happens in our models if we run a quantum interference experiment in a classical computer is explained. The restriction that very fast variables stay predominantly in their ground state appears to be due to smearing of the physical states in the time direction, preventing their direct detection. Discussions are added of the emergence of quantum mechanics, and the ontology of an EPR/Bell Gedanken experiment.



中文翻译:

快速真空涨落和量子力学的出现

快速移动的经典变量可以生成量子力学行为。我们演示了如何在模型中发生这种情况。关键是在经典(本体论)进化的系统中,仍然可以定义守恒的量子能。对于快速变量,能级相距很远,因此可以假定这些变量保持其基态。这迫使它们纠缠在一起,因此,较慢的变量也被纠缠了。快速变量可能是未知超重粒子引起的真空波动。光粒子中出现的量子效应由哈密顿量表示,该哈密顿量可以具有几乎任何形式。整个系统是本体的,但仍允许在计算机模型中产生干扰效应。这似乎导致了莫名其妙的悖论,现已解决:如果我们在经典计算机上运行量子干涉实验,则可以确切地解释模型中发生的情况。非常快的变量主要停留在其基态的限制似乎是由于物理状态在时间方向上的拖尾所致,从而阻止了它们的直接检测。还讨论了量子力学的出现,以及EPR / Bell Gedanken实验的本体论。

更新日期:2021-05-25
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