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Constructing deterministic models for quantum mechanical systems
International Journal of Geometric Methods in Modern Physics ( IF 1.8 ) Pub Date : 2020-03-07 , DOI: 10.1142/s0219887820400071
Gerard ’t Hooft 1
Affiliation  

A sharper formulation is presented for an interpretation of quantum mechanics advocated by the author. We claim that only those quantum theories should be considered for which an ontological basis can be constructed. In terms of this basis, the entire theory can be considered as being deterministic. An example is illustrated: massless, noninteracting fermions are ontological. Subsequently, as an essential element of the deterministic interpretation, we put forward conservation laws concerning the ontological nature of a variable, and the uncertainties concerning the realization of states. Quantum mechanics can then be treated as a device that combines statistics with mechanical, deterministic laws, such that uncertainties are passed on from initial states to final states.

中文翻译:

为量子力学系统构建确定性模型

提出了一个更清晰的公式来解释作者所倡导的量子力学。我们声称只有那些可以构建本体论基础的量子理论才应该被考虑。在这个基础上,整个理论可以被认为是确定性的。举例说明:无质量、非相互作用的费米子是本体论的。随后,作为确定性解释的一个基本要素,我们提出了关于变量本体性质的守恒定律,以及关于状态实现的不确定性。然后,量子力学可以被视为一种将统计学与机械、确定性定律相结合的设备,这样不确定性就会从初始状态传递到最终状态。
更新日期:2020-03-07
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