强核力场的厘米级尺度调制方程:

    fstrong(r)=gs24πr2?[1?exp?(?rΛqcd)]?fent(r)f_{\text{strong}}(r) = \frac{g_s^2}{4\pi r^2} \cdot \left[1 - \exp\left(-\frac{r}{\lambda_{\text{qcd}}}\right)\right] \cdot \mathcal{f}_{\text{ent}}(r)fstrong (r)=4πr2gs2 ?[1?exp(?Λqcd r )]?fent (r)

    参数g_s:强核力耦合常数,大约1.2。

    Λqcd\lambda_{\text{qcd}}Λqcd :qcd标度参数(约200 mev)

    fent(r)\mathcal{f}_{\text{ent}}(r)fent (r):量子纠缠修正项,r为核子间距。

    2. 电磁场-引力耦合方程,伽马射线-强核力共振激发频率:

    wres=2πcλres=gs2?efission??0?(1+gmcatc2rcat)\omega_{\text{res}} = \frac{2\pi c}{\lambda_{\text{res}}} = \sqrt{\frac{g_s^2 \cdot \mathcal{e}{\text{fission}}}{\hbar \epsilon_0}} \cdot \left(1 + \frac{g m{\text{cat}}}{c^2 r_{\text{cat}}}\right)wres =λres 2πc =??0 gs2 ?efission ?(1+c2rcat gmcat )

    参数:λres\lambda_{\text{res}}λres :共振波长

    ?0\epsilon_0?0 :真空介电常数

    mcatm_{\text{cat}}mcat :反物质催化剂质量

    rcatr_{\text{cat}}rcat :催化剂与核反应区距离

    相干电磁场束相位锁定条件,squid阵列:

    Δ?squid=2πΦ0∮a?dl=2πn(n∈z)\delta \phi_{\text{squid}} = \frac{2\pi}{\phi_0} \oint \mathbf{a} \cdot d\mathbf{l} = 2\pi n \quad (n \in \mathbb{z})Δ?squid =Φ0 2π ∮a?dl=2πn(n∈z)

    参数:Φ0=h/2e\phi_0 = h/2eΦ0 =h/2e:磁通量子

    a\mathbf{a}a:电磁矢量势

    3. 引力-电磁耦合方程,反物质引力透镜能量压缩比:

    pgeb=pem?(1+4gmampemc4)?1?ctopo\rho_{\text{geb}} = \rho_{\text{em}} \cdot \left(1 + \frac{4 g m_{\text{am}} \rho_{\text{em}}}{c^4}\right)^{-1} \cdot \mathcal{c}_{\text{topo}}pgeb =pem ?(1+c44gmam pem )?1?ctopo

    参数:pem\rho_{\text{em}}pem :电磁场束能量密度

    mamm_{\text{am}}mam :反物质质量

    ctopo\mathcal{c}_{\text{topo}}ctopo :拓扑量子计算修正因子(0 <ctopo\mathcal{c}_{\text{topo}}ctopo < 1)

    引力子信息包编码效率,时空折叠传输:

    ηgrav=?wgravmamc2?(1?rsremit)\eta_{\text{grav}} = \frac{\hbar \omega_{\text{grav}}}{m_{\text{am}} c^2} \cdot \left(1 - \frac{r_s}{r_{\text{emit}}}\right)ηgrav =mam c2?wgrav ?(1?remit rs )

    参数:wgrav\omega_{\text{grav}}wgrav :引力波频率

    rs=2gmam/c2r_s = 2gm_{\text{am}}/c^2rs =2gmam /c2:反物质模拟黑洞的史瓦西半径

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    remitr_{\text{emit}}remit :发射端与模拟黑洞距离

    第二、关键技术突破的数学描述。

    1. 量子纠缠态核反应堆,链式反应速率调控方程,基于量子退火算法:

    dndt=[σfΦ?λ?Γent?sin?2(πt2tent)]n(t)\frac{dn}{dt} = \left[\sigma_f \phi - \lambda - \gamma_{\text{ent}} \cdot \sin^2\left(\frac{\pi t}{2\tau_{\text{ent}}}\right)\right] n(t)dtdn =[σf Φ?λ?Γent ?sin2(2tent πt )]n(t)

    参数:Γent\gamma_{\text{ent}}Γent :量子纠缠调控强度

    tent\tau_{\text{ent}}tent :纠缠态退相干时间

    纠缠态场能输出谱,微波至伽马射线:

    deentdw=?w3π2c3?Γent2(w?wres)2+Γent2?pqd(w)\frac{d\mathcal{e}{\text{ent}}}{d\omega} = \frac{\hbar \omega^3}{\pi^2 c^3} \cdot \frac{\gamma{\text{ent}}^2}{(\omega - \omega_{\text{res}})^2 + \gamma_{\text{ent}}^2} \cdot \mathcal{p}_{\text{qd}}(\omega)dwdeent =π2c3?w3 ?(w?wres )2+Γent2 Γent2 ?pqd (w)

    参数:pqd(w)\mathcal{p}_{\text{qd}}(\omega)pqd (w):量子退火算法的功率谱密度

    2. 强核力-电磁场共振腔,腔体谐振频率,六方氮化硼纳米管阵列:

    wcav=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}wcav =?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……”