超导体中的暗能量尺度：创新的理论和实验概念
The dark energy scale in superconductors: Innovative theoretical and experimental concepts
摘要：
我们重新讨论了宇宙学常数问题，使用的观点是，宇宙中观测到的暗能量密度值实际上代表了一个相当自然的值，它是两个真空能量密度的几何平均值，一个非常大，另一个非常小。对应的平均能量标度是普朗克-爱因斯坦标度l_PE =（l_P l_E）^1/2 =（h巴G/ c^3 λ）^1/4 ~ 0.037 mm，这是暗能量和超导体物理学的自然标度。我们处理的统计量子涨落的暗能量在超导体中，并考虑从普朗克尺度到普朗克-爱因斯坦尺度的转换，离开量子物理不变。我们的方法将超导体中各种实验证实或证实的效应统一到一个共同的框架中：真空涨落谱的截止，陶球的形成，异常重力磁场，非经典惯性和放射性超导体中的时间不确定性。我们提出了几个新的实验，这些实验可能进一步阐明普朗克-爱因斯坦尺度在超导体中的作用。
英文摘要：
We revisit the cosmological constant problem using the viewpoint that the observed value of dark energy density in the universe actually represents a rather natural value arising as the geometric mean of two vacuum energy densities, one being extremely large and the other one being extremely small. The corresponding mean energy scale is the Planck-Einstein scale l_PE = (l_P l_E)^1/2 = (hbar G/ c^3 Lambda)^1/4 ~ 0.037 mm, a natural scale both for dark energy and the physics of superconductors. We deal with the statistics of quantum fluctuations underlying dark energy in superconductors and consider a scale transformation from the Planck scale to the Planck-Einstein scale which leaves the quantum physics invariant. Our approach unifies various experimentally confirmed or conjectured effects in superconductors into a common framework: Cutoff of vacuum fluctuation spectra, formation of Tao balls, anomalous gravitomagnetic fields, non-classical inertia, and time uncertainties in radioactive superconductors. We propose several new experiments which may further elucidate the role of the Planck-Einstein scale in superconductors.
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