M2DE-THEAD V7.1 COMPLETE: Unified Dark Sector via Percolation Phase Transition - Einstein Field Equation with PBH Memory - Full Principles, Data, Math, Figures, References

V7.1 adds Sec 5.5 Unified Dark Sector. PBH seeds n0=1.18e-4 Mpc^-3 provide Omega_PBH=0.05(M/1Msun) as particle DM. Isolated soft-hair bubbles R0=10 Mpc behave as fuzzy DM (w=0) at z>0.6. Percolation at zc=0.6, eta_c=0.341, p_c=0.289 (Rintoul & Torquato) gives P_inf=(p-p_c)^0.41, ≠0, V( ) is dynamical dark energy w0=-0.82, wa=-0.74, matching DESI DR2. Same field, two phases: DM→DE transition solves coincidence and sigma8 tension. Complete EFE: G_mn=8piG/c^4(T^matter+T^PBH+T^memory), rho_eff=(H0/2pi)n^2 xi(a), xi(a)=xi0 a^1.2. 3D percolation HTML and MP4 included