Cremaschini Claudio, Tessarotto Massimo
Research Center for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo nám.13, CZ-74601 Opava, Czech Republic.
Department of Mathematics and Geosciences, University of Trieste, Via Valerio 12, 34127 Trieste, Italy.
Entropy (Basel). 2020 Jun 22;22(6):696. doi: 10.3390/e22060696.
The stochastic character of the cosmological constant arising from the non-linear quantum-vacuum Bohm interaction in the framework of the manifestly-covariant theory of quantum gravity (CQG theory) is pointed out. This feature is shown to be consistent with the axiomatic formulation of quantum gravity based on the hydrodynamic representation of the same CQG theory developed recently. The conclusion follows by investigating the indeterminacy properties of the probability density function and its representation associated with the quantum gravity state, which corresponds to a hydrodynamic continuity equation that satisfies the unitarity principle. As a result, the corresponding form of stochastic quantum-modified Einstein field equations is obtained and shown to admit a stochastic cosmological de Sitter solution for the space-time metric tensor. The analytical calculation of the stochastic averages of relevant physical observables is obtained. These include in particular the radius of the de Sitter sphere fixing the location of the event horizon and the expression of the Hawking temperature associated with the related particle tunneling effect. Theoretical implications for cosmology and field theories are pointed out.
指出了在明显协变的量子引力理论（CQG理论）框架下，由非线性量子真空玻姆相互作用产生的宇宙学常数的随机特性。该特征被证明与基于最近发展的同一CQG理论的流体动力学表示的量子引力公理表述相一致。通过研究与量子引力态相关的概率密度函数及其表示的不确定性性质得出结论，这对应于一个满足幺正性原理的流体动力学连续性方程。结果，得到了随机量子修正的爱因斯坦场方程的相应形式，并表明其时空度规张量允许一个随机宇宙学德西特解。获得了相关物理可观测量的随机平均值的解析计算。这些尤其包括确定事件视界位置的德西特球半径以及与相关粒子隧穿效应相关的霍金温度的表达式。指出了对宇宙学和场论的理论意义。
