论文标题

为什么可以以不同的规模进行量化空间以使其重要

Why space could be quantised on a different scale to matter

论文作者

Lake, Matthew J.

论文摘要

物质中量子机械效应的比例由普朗克的常数$ \ hbar $设定。这表示材料对象的定量量表。在本文中,我们提出了一个简单的论点,为什么空间的量化量表以及重力的量表可能不等于$ \ hbar $。实际上,假设物质和几何形状的单个定量量表都会导致“物理学最坏的预测”,即观察到的真空能量和预测的真空能之间的巨大差异。相反,假设几何作用的不同量子,$β\ ll \ hbar $,使我们能够恢复宇宙的观察到的密度。因此,通过衡量其当今的扩展,我们可以原则上确定应定量几何自由度的规模。

The scale of quantum mechanical effects in matter is set by Planck's constant, $\hbar$. This represents the quantisation scale for material objects. In this article, we present a simple argument why the quantisation scale for space, and hence for gravity, may not be equal to $\hbar$. Indeed, assuming a single quantisation scale for both matter and geometry leads to the `worst prediction in physics', namely, the huge difference between the observed and predicted vacuum energies. Conversely, assuming a different quantum of action for geometry, $β\ll \hbar$, allows us to recover the observed density of the Universe. Thus, by measuring its present-day expansion, we may in principle determine, empirically, the scale at which the geometric degrees of freedom should be quantised.

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