ARKTX-SMUMT V14.9 | 星光7D拓扑镜相线

\[ T_{\text{EM-shadow}} = T_{\text{bubble}} \cdot \exp\left(-\mu \cdot \frac{\omega_{\text{pl}}^2}{\omega^2}\right) \]

\[ \mu(r) = \frac12\left(1+e^{-\frac{r-R_h}{\delta|\Phi_{\text{grav}}|}}\right) \]

\[ d_A = \frac{R_h}{(1+z)\theta},\quad z = \frac{1}{\sqrt{1-2GM/(R_h c^2)}} - 1 \]

\[ T_{\text{disk}} \propto r^{-3/4},\quad \Delta E_{\text{K}\alpha} = \frac{v_{\text{rot}}}{c}\sin\theta\cdot E_0 \]

\[\begin{aligned} \mathcal{L}_{\text{SMUMT}} =& \frac12\mathcal{R}_{(7)} -\frac14 F_{MN}F^{MN} -\frac12 |D_M \Phi|^2 - V(\Phi)\\ &+ \mathcal{L}_{\text{string}} + \mathcal{L}_{\text{top}}^{(7)} + \mathcal{L}_{\mu\text{-bubble}} \end{aligned}\]

\[ \Psi_{\text{7D}} = \Psi_{\text{orig}} \oplus \Psi_{\text{mirror}},\quad \mathbb{M}^7 = \mathbb{M}^{3,1} \times \mathcal{S}^3 \]