论文标题
pancosmic相对论和自然的层次结构
Pancosmic Relativity and Nature's Hierarchies
论文作者
论文摘要
我们通过将Einstein-Hilbert Action中的整合度量作为任意$ 4 $形式的野外强度来定义“第三导数”的一般相对论。我们通过将其耦合到另一个$ 4 $形式的野外强度来预测其本地波动。这样可以确保引力部门仅包含通常的无质量螺旋2传播模式。将费用添加到这些$ 4 $ - 形式中可以使常规一般相对性的耦合参数的离散变化：$ g_n，λ，h_0 $，甚至$ \ langle {\ tt higgs} \ tt higgs} \ rangle $都是所有变量，都可以通过跳跃而变化。因此，De Sitter不稳定膜成核。使用这种不稳定性，我们解释了如何解决宇宙常数问题。该方案利用了非理性轴承背后的想法，但是而不是轴，而是需要另外一个$ 4 $的野外强度和相应的带电膜。当膜充电满足约束时$λ/\ mpl^4 \ simeq 1 $。放电产生由欧几里得路径积分的鞍点近似描述的$λ$的值的分布。
We define `third derivative' General Relativity, by promoting the integration measure in Einstein-Hilbert action to be an arbitrary $4$-form field strength. We project out its local fluctuations by coupling it to another $4$-form field strength. This ensures that the gravitational sector contains only the usual massless helicity-2 propagating modes. Adding the charges to these $4$-forms allows for discrete variations of the coupling parameters of conventional General Relativity: $G_N, Λ, H_0$, and even $\langle {\tt Higgs }\rangle$ are all variables which can change by jumps. Hence de Sitter is unstable to membrane nucleation. Using this instability we explain how the cosmological constant problem can be solved. The scenario utilizes the idea behind the irrational axion, but instead of an axion it requires one more $4$-form field strength and corresponding charged membranes. When the membrane charges satisfy the constraint $\frac{2κ_{\tt eff}^2 κ^2 |{\cal Q}_i|}{3{\cal T}^2_i} < 1$, the theory which ensues exponentially favors a huge hierarchy $Λ/\mpl^4 \ll 1$ instead of $Λ/\mpl^4 \simeq 1$. The discharges produce the distribution of the values of $Λ$ described by the saddle point approximation of the Euclidean path integral.
