We start from classical general relativity coupled to matter fields. Each configuration variable and its conjugate momentum, as also spacetime points are raised to the status of matrices [equivalently operators]. These matrices obey a deterministic Lagrangian dynamics at the Planck scale. By coarse-graining this matrix dynamics over time intervals much larger than Planck time, one derives quantum theory as a low energy emergent approximation. If a sufficiently large number of degrees of freedom get entangled, spontaneous localisation takes place, leading to the emergence of classical spacetime geometry and a classical universe. In our theory, dark energy is shown to be a large-scale quantum gravitational phenomenon. Quantum indeterminism is not fundamental, but results from our not probing physics at the Planck scale.

中文翻译：

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自然不会在普朗克规模下玩骰子

我们从耦合到物质场的经典广义相对论开始。每个配置变量及其共轭动量，以及时空点都被提升到矩阵的状态[相当于算子]。这些矩阵服从普朗克尺度的确定性拉格朗日动力学。通过在比普朗克时间大得多的时间间隔上粗粒度地处理这种矩阵动力学，可以将量子理论推导出为一种低能量的涌现近似。如果足够多的自由度被纠缠在一起，就会发生自发局部化，从而导致经典时空几何和经典宇宙的出现。在我们的理论中，暗能量被证明是一种大规模的量子引力现象。量子不确定性不是基本的，而是我们没有在普朗克尺度上探索物理学的结果。