论文标题
重力和几何形状的隐藏变量以及宇宙常数问题
Hidden Variables of Gravity and Geometry and the Cosmological Constant Problem
论文作者
论文摘要
我们通过促进普朗克量表和宇宙学常数扩展了整体相对论，并将其解释为隐藏在理论中的$ 4 $的通量。当我们包括$ 4 $ - 形式的费用时，这些“常数”可能会因地区而异。我们解释了如何在这个新框架中解决宇宙恒定问题。当宇宙常数从两个不同的$ 4 $ forms（具有非理性的电荷）的贡献时，其价值的频谱是非常良好的散布。当电荷是不合理的时，$ \ frac {2κ_ {\ tt eff}^2κ^2 | {\ cal q} _i |} {3 {\ cal t}^2_i} <1 $因此，该理论呈指数式偏爱一个巨大的层次结构$λ/\ mpl^4 \ ll 1 $而不是$λ/\ mpl^4 \ simeq 1 $。
We extend General Relativity by promoting Planck scale and the cosmological constant into integration constants, interpreted as fluxes of $4$-forms hiding in the theory. When we include the charges of the $4$-forms, these `constants' can vary discretely from region to region. We explain how the cosmological constant problem can be solved in this new framework. When the cosmological constant picks up contributions from two different $4$-forms, with an irrational ratio of charges, the spectrum of its values is a very fine discretuum. When the charges are mutually irrational, $\frac{2κ_{\tt eff}^2 κ^2 |{\cal Q}_i|}{3{\cal T}^2_i} < 1$, the discharge processes populating our discretuum will dynamically relax $Λ$, ceasing as $Λ$ approaches zero. Thus the theory exponentially favors a huge hierarchy $Λ/\mpl^4 \ll 1$ instead of $Λ/\mpl^4 \simeq 1$.
