SPECTRA — unmarked algebraic visualization

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VISUAL SYSTEM · MINI AI LABS

Near-black laboratory. Cyan live · bronze Λ-ghost · mint lock. No type on stills. Record: CITY-LABS-VISUAL-SYSTEM-20260915.

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SPECTRA · algebraic visualization

SPECTRA · live algebraic visualization lab

SPECTRA · live algebraic visualization lab

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OPEN LIVE INTERFACE

Open SPECTRA — Algebraic Visualization Lab

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Research mandate

SPECTRA is the City’s interactive spectral-algebra interface. It exposes the operator chain from generators to spectrum, invariant kernel, projector, and contraction.

$$ V_2^{\otimes 3}\rightarrow C=J_{\rm tot}^2\rightarrow K=(C-6I)(C-30I)\rightarrow E_{47}=\ker K\rightarrow P_{47} $$

Machine-validated E47 route

• Carrier dimension: 125.
• Derived kernel: $\dim E_{47}=47$; complement/rank $K=78$.
• $\Omega_c=47/125=0.376$.
• $\Delta_{K^2}=11664$, $\Lambda_{\max}=186624$, $\kappa=16$.
• Optimal discrete contraction: $\epsilon_=1/99144$, $\rho_=15/17$.
• Operator limit: $\Gamma^n\to P_{47}$ with $\Gamma=I-\epsilon_*K^2$.

Evidence bundle

• First-principles Python engine
• Machine-readable certificate
• Executable theorem infographic