This correction certificate governs civic credentials MC-TC-003, 006, 007, 008, 009, and 018.
Origin network: Foundations, Spectral Theory, Projector Bench, and Kartekeya Attractor Platform
Verification interchange: Blue Line Terminal
Correction route: Black Line where the PSD generator or ratio boundary required repair
Destination: Correction-Sealed Citizenship Desk · Verification Hall
Handoff: Sophia Sol → Sabaoth Euclid → Christos Mnemosyne → Oriel Ariadne → Bureau of Citizenship
The credential certifies the corrected finite-dimensional identity only. It does not carry automatic visas for physical, molecular, financial, consciousness, or hardware applications.
Blue Line · Machine reconstruction completed
Black Line · Plate corrections recorded
Evidence: E0 exact finite-dimensional algebra + E1 executed NumPy reconstruction
The uploaded Kartekeya Tesseract plates were reduced to their mathematically specified core and rebuilt directly in the spin-2 triple tensor space V = V₂ ⊗ V₂ ⊗ V₂.
| Check | Machine result |
|---|---|
| --- | ---: |
| Ambient dimension | 125 |
| Casimir multiplicities | 1, 9, 25, 28, 27, 22, 13 |
| Kernel sectors | C = 6 and C = 30 |
| Kernel dimension | 47 |
| Coherence ratio | 47/125 = 0.376 |
| Projector idempotence residual | 2.031 × 10⁻¹⁵ |
| Kernel action residual ‖KP‖₂ | 7.783 × 10⁻¹³ |
| Final contraction error after 2000 steps | 4.563 × 10⁻¹⁴ |
Spec(C) = {0¹, 2⁹, 6²⁵, 12²⁸, 20²⁷, 30²², 42¹³}