ωcav=c?BNμ0?(mπa)2+(nπb)2+(pπd)2\omega_{\text{cav}} = \frac{c}{\sqrt{\epsilon_{\text{BN}} \mu_0}} \cdot \sqrt{\left(\frac{m\pi}{a}\right)^2 + \left(\frac{n\pi}{b}\right)^2 + \left(\frac{p\pi}{d}\right)^2}ωcav =?BN μ0 c ?(amπ )2+(bnπ )2+(dpπ )2

参数：?BN\epsilon_{\text{BN}}?BN ：六方氮化硼介电常数

a,b,da, b, da,b,d：纳米管阵列周期

m,n,pm, n, pm,n,p：谐振模式量子数

反物质催化剂库仑势垒穿透概率，量子隧穿效应：

Ptunnel=exp?(?2?∫r0r12Mion(V(r)?Ekin)dr)P_{\text{tunnel}} = \exp\left(-\frac{2}{\hbar} \int_{r_0}^{r_1} \sqrt{2M_{\text{ion}} \left(V(r) - E_{\text{kin}}\right)} dr\right)Ptunnel =exp(??2 ∫r0 r1 2Mion (V(r)?Ekin ) dr)

参数：MionM_{\text{ion}}Mion ：核子质量

V(r)V(r)V(r)：库仑势垒

EkinE_{\text{kin}}Ekin ：核子动能

3. 引力透镜无线输电系统，时空折叠传输延迟：

Δtgrav=2c[remit1?Rsremit+Rsln?(remitRs+remit2Rs2?1)]\Delta t_{\text{grav}} = \frac{2}{c} \left[ r_{\text{emit}} \sqrt{1 - \frac{R_s}{r_{\text{emit}}}} + R_s \ln\left(\frac{r_{\text{emit}}}{R_s} + \sqrt{\frac{r_{\text{emit}}^2}{R_s^2} - 1}\right) \right]Δtgrav =c2 [remit 1?remit Rs +Rs ln(Rs remit +Rs2 remit2 ?1 )]

拓扑绝缘体解调效率，量子霍尔效应：

ηTI=e2h?σxyσxx2+σxy2?(1?TTc)2\eta_{\text{TI}} = \frac{e^2}{h} \cdot \frac{\sigma_{xy}}{\sigma_{xx}^2 + \sigma_{xy}^2} \cdot \left(1 - \frac{T}{T_c}\right)^2ηTI =he2 ?σxx2 +σxy2 σxy ?(1?Tc T )2

参数:σxy\sigma_{xy}σxy ：霍尔电导率

σxx\sigma_{xx}σxx ：纵向电导率

T_c：拓扑绝缘体临界温度……”