This record contains the complete, corrected closure of the Unified Applicable Time (UAT) and Unified Causal Principle (UCP) framework. Main Paper (3 pages, main_corrected.pdf): Derivation of the UAT scalar-tensor action S_UAT = ∫√-g[Mpl^2/2 R -1/2(∂φ)^2 -V(φ)-ξ/2 Rφ^2 + Lm] with V(φ)=λ/4(φ^2-η^2)^2. Three parameters rigidly fixed, not free: η≡κcrit=4.978 (Ivancho causal coherence limit), φ*=0.07η=0.34846 (7% thermal calibration margin at recombination), kearly=0.967 (quantum brake from laboratory experiment). From kearly=1/(1-ξφ*^2): ξ=-0.2810, λ=3.08e-112. Numerical Klein-Gordon integration z=1e9→0 shows frozen field φ(0)=0.45588 (90.84% away from η). Freezing does not invalidate amplification because causal membrane integral Mp=∮Ψ8phase·κcrit dt depends on κcrit as structural constant, not on φ(z). Amplification factor A=κcrit×φ×(1-0.07)=7.4908 (φ=1.618034 golden ratio from 8-phase topology) converts BBN Ωb=0.04182 into Ωm^eff=0.3133, matching Planck 2018 0.315±0.007 within 0.55%. Effective Friedmann H^2=(3Mpl^2)^-1 kearly(ρm+ρr). Sound Horizon Correction: Early UAT literature used effective proxy rd≈141 Mpc from MCMC Phases 7-9 fitting Pantheon+ (1587 SNe), Planck shift R, and BOSS BAO, giving acoustic shift +5.85% (lA 296.3→313.6). This work provides first-principles integration rd=∫ cs/[H_UAT(1+z)]dz, cs=c/√(3(1+Rb)), with H_UAT(z)=H0√(kearlyΩm(1+z)^3+...), kearly=0.967, H0=73.04, yielding rd=128.15 Mpc (no empirical f_corr factors). With H0=73.04, DC(z*=1089)=12981 Mpc, lA=πDC/rd=318.2 (+7.40%). Both values are temporary proxies pending full CLASS-UAT Boltzmann implementation; 128.15 Mpc is mathematically correct, 141 Mpc is outdated effective. Supplementary 1 (3 pages, supplementary1.pdf): Laboratory verification of Rgeom=0.279182. 8 coils physically fixed at 45° spatial positions (complete cancellation R=0, annulled). Frequency detuning 43.515°=45°×kearly: driving currents In=A sin(wt + nΔφ), Δφ=43.515°=45°×0.967, not mechanical rotation. Formula R(N,Δφ)=|Σ e^{inΔφ}|=|sin(NΔφ/2)/sin(Δφ/2)|=0.279182 unnormalized (not divided by N). Measured 3.697 mV /13.24 mV =0.2792±0.0005 within 0.006%, frequency-independent at 232 Hz and 361.108 Hz. Appears as 2Rgeom=0.558364 in Causal Mass Gap Mobs(n)=2Rgeom·Eplanck·κcrit^{1/n} and boundary action S_boundary. Supplementary 2 (4 pages, supplementary2.pdf): Methodological Guide (5 pitfalls) and growth of structure fσ8(z) first-order prediction. H_UAT(z) modification only, 26 measurements BOSS/eBOSS/DES. χ2_UAT=17.28 (1 free param: 7% margin) vs χ2_LCDM=15.93 (6 params). AIC: 19.28 vs 27.93 ΔAIC=-8.65 weight 98.7%; BIC: 20.54 vs 35.48 ΔBIC=-14.94 weight 99.9%; Bayes B≈1755 decisive for UAT. Causal feedback F(z)∼κcrit=1e-78 membrane stable. Codes: uat_main_corrected.py (parameter closure, corrected rd=128.15 Mpc, lA, frozen field, Rgeom frequency vs mechanical clarification) and uat_supplementary.py (phasor diagram verification and fσ8 Bayesian selection). Requires NumPy, SciPy, Matplotlib. Generates phasors_8coil.png. Files: main_corrected.pdf, supplementary1.pdf, supplementary2.pdf, uat_main_corrected.py, uat_supplementary.py, phasors_8coil.png + combined ZIP. Keywords: UAT, UCP, quantum brake, causal coherence, Lagrangian, sound horizon, geometric invariant, Hubble tension