VARIABLE GRAVITATIONAL IMPEDANCE Zg(v,t) MODEL RESOLUTION OF THE Pg PARADOX AND THE CLASSICAL H0 RESONANCE

We present a variable gravitational impedance $Z_g(v,t)$ model with $G=const$, only $Z_g=L_g/C_g$ variable, resolving the $P_g$ paradox and the classical $H_0$ resonance. The old $C_g=8\pi R/G$, $L_g=G R/(8\pi c^2)$, $Z_{g,sphere}=G/(8\pi c)=8.86e-21$ gives $U_{eff}=U=6.26e7$ J/kg and $W_{tot}=62.6$ GJ/1000kg $>mU$, no levitation for 8-10 years. With disk lens $R/h$, $Z_{g,disk}=G h/(2\pi c R)=Z_{g,sphere}\cdot4h/R$, $U_{eff}=U\cdot4h/R$, $R/h=33$ → $7.6$ GJ/1000kg $8.3\times$ less than $mU$, $R/h=100$ → $2.5$ GJ $25\times$ less, $W_E+W_H\ge mU$ with $W_H=0.5 L_g H_g^2$. The $P_g$ paradox $P_g=S_g/c$ reactive when $Z_g=i|Z_g|$ with Non-Foster $-C_{g,eff}$, $S_g=E_g\times H_g$, no momentum transfer to air, no sonic boom, $3768$ N at $100$ m/s vs $114$ MN at $11$ km/s, $0.1$ m/s Moon landing, $100$ m/s Earth return without heat shield. Classical $H_0$ resonance $L_g C_g=R^2/c^2$ → $f_0=c/(2\pi R)=477$ MHz $R=0.1$ m, $159$ MHz $R=0.3$ m, $47.7$ MHz $R=1$ m, $Q>1e8$ copper, $Q>1e12$ superconducting, $E_{g,ind}=-R dB_g/dt=-G m_0/(4\pi c^2)\gamma^3\varepsilon$, $\varepsilon=1e-2$ rad/s2 square modulation, $E_{g,ind}\approx1e-9$ m/s2 tabletop detectable with SQUID, $9.81$ levitation with $Q=1e21$. Outer shell slow counter-rotating $L_{up}+L_{down}=0$ stable mass point, not leaf, inner two plasma rings small mass $0.1$ kg, huge $v=1e4$ m/s counter-rotating $H_g=m v/(4\pi R^2)$, $B_g=\mu_g H_g$, $\mu_g=G/c^2$, joint control up-down, separate control left-right. No real $v>c$ jump, only apparent $100g$ without sound, no wormhole because $C_g>0$, $L_g>0$, $G$ const, only $Z_g$ variable.