量子时空涨落与初态扩散
Quantum space-time fluctuations and primary state diffusion
摘要:
普朗克尺度下时空中不可微的涨落将随机项引入到量子态的方程中,从而为现有的另一种量子理论--初级态扩散(PSD)--提供了一个新的基础。普朗克尺度的随机时空结构导致量子涨落,而更大尺度的曲率则导致引力。引力场和量子涨落场是相同的,只是尺度不同。小系统的量子力学、大系统的经典力学和量子实验的物理学都是动态地导出的,没有任何预先的经典和量子领域的划分,也没有任何测量假设。不同于早期的推导PSD,新的推导,基于随机时空微分几何,基本上没有自由参数。然而,这种结构的许多特征仍有待确定。该理论在实验室中是可证伪的,而将其与普通量子力学区分开来的临界物质干涉测量实验在未来十年内可能是可行的。
英文摘要:
Nondifferentiable fluctuations in space-time on a Planck scale introduce stochastic terms into the equations for quantum states, resulting in a proposed new foundation for an existing alternative quantum theory, primary state diffusion (PSD). Planck-scale stochastic space-time structure results in quantum fluctuations, whilst larger-scale curvature is responsible for gravitational forces. The gravitational field and the quantum fluctuation field are the same, differing only in scale. The quantum mechanics of small systems, classical mechanics of large systems and the physics of quantum experiments are all derived dynamically, without any prior division into classical and quantum domains, and without any measurement hypothesis. Unlike the earlier derivation of PSD, the new derivation, based on a stochastic space-time differential geometry, has essentially no free parameters. However many features of this structure remain to be determined. The theory is falsifiable in the laboratory, and critical matter interferometry experiments to distinguish it from ordinary quantum mechanics may be feasible within the next decade.
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