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The Montevideo Interpretation: How the Inclusion of a Quantum Gravitational Notion of Time Solves the Measurement Problem
Universe ( IF 2.9 ) Pub Date : 2020-12-11 , DOI: 10.3390/universe6120236
Rodolfo Gambini , Jorge Pullin

We review the Montevideo Interpretation of quantum mechanics, which is based on the use of real clocks to describe physics, using the framework that was recently introduced by Höhn, Smith, and Lock to treat the problem of time in generally covariant systems. These new methods, which solve several problems in the introduction of a notion of time in such systems, do not change the main results of the Montevideo Interpretation. The use of the new formalism makes the construction more general and valid for any system in a quantum generally covariant theory. We find that, as in the original formulation, a fundamental mechanism of decoherence emerges that allows for supplementing ordinary environmental decoherence and avoiding its criticisms. The recent results on quantum complexity provide additional support to the type of global protocols that are used to prove that within ordinary—unitary—quantum mechanics, no definite event—an outcome to which a probability can be associated—occurs. In lieu of this, states that start in a coherent superposition of possible outcomes always remain as a superposition. We show that, if one takes into account fundamental inescapable uncertainties in measuring length and time intervals due to general relativity and quantum mechanics, the previously mentioned global protocols no longer allow for distinguishing whether the state is in a superposition or not. One is left with a formulation of quantum mechanics purely defined in quantum mechanical terms without any reference to the classical world and with an intrinsic operational definition of quantum events that does not need external observers.

中文翻译:

蒙得维的亚诠释:时间的量子引力概念的包含如何解决测量问题

我们使用Höhn,Smith和Lock最近引入的框架来处理一般协变系统中的时间问题,回顾了基于物理时钟描述物理的量子力学的蒙得维的亚解释。这些新方法解决了此类系统中引入时间概念中的几个问题,但不会改变“蒙得维的亚解释”的主要结果。新形式主义的使用使构造对于量子一般协变理论中的任何系统而言更加通用和有效。我们发现,与原始表述一样,出现了退相干的基本机制,可以补充普通的环境退相干,并避免对其提出批评。关于量子复杂性的最新研究结果为全球协议的类型提供了额外的支持,这些协​​议被用于证明在普通的(单一的)量子力学中,没有确定的事件发生(与概率相关的结果)。取而代之的是,以可能结果的一致叠加开始的状态始终保持为叠加。我们表明,如果考虑到由于广义相对论和量子力学而在测量长度和时间间隔方面不可避免的基本不确定性,那么前面提到的全局协议将不再允许区分状态是否处于叠加状态。
更新日期:2020-12-11
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