KARTEKEYA — unmarked E47 machine
<aside> ◼
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.
</aside>
KARTEKEYA · canonical E47 machine
KARTEKEYA · live canonical machine
KARTEKEYA · live canonical machine
<aside> ▶
OPEN LIVE MACHINE
Open the canonical executable interface
No registration or admission layer. The public machine opens directly.
</aside>
<aside> ◼
VISUAL SYSTEM · KARTEKEYA
Near-black laboratory. Cyan live · bronze Λ-ghost · mint lock. No type on stills.
125-state carrier → Casimir selector → 47-dimensional invariant → Clebsch–Gordan register → optimal contraction → live certificates.
Canonical Drive repository · Coprocessor map: Emergent Composition — City Operad and Modular Machines.
Aesthetic law: City Visual Grammar — Page Aesthetic Standard.
</aside>
<aside> ⚛️
E47-QOP-INDEPENDENT-20260911 · PASS
The previously missing runnable operator/QPE package is now present in the canonical Drive repository and bound to E47 Quantum Operator Theory · Canonical Proof, Code & QPE Validation · 2026-09-11. Independent NumPy reconstruction from the spin-2 ladder relations recovers the 125-state Casimir decomposition, rank-47 projector, K² gap 11664, norm 186624, optimal ε*=1/99144, and ρ*=15/17.
The ideal 7-data-qubit + 9-phase-qubit QPE discriminator gives zero-phase probability exactly equal to <ψ|P47|ψ> at floating precision for seed 470125, with postselected-state fidelity 1.0. Scope remains exact finite operator mathematics plus ideal statevector simulation, not hardware or arbitrary-noise QEC.
</aside>
Drive derivation: Kartikeya Operator — First-Principles Derivation and Machine Validation is now bound as corroborating provenance for the existing finite-dimensional Kartekeya/E47 operator family.
Independent reconstruction from the stated recipe under Python 3.13.5, NumPy 2.3.5, complex128 reproduces the Casimir spectrum and multiplicities, μ=18, σ²=144, the positive Q=K² spectrum, rank(P47)=47, and the five-factor spectral closure. Rerun diagnostics: ||P−P_eig||F=1.71e−11, ||P²−P||F=1.71e−11, ||KP||F=7.38e−9, ||QP||F=3.19e−6 for the direct floating-point product implementation.
Evidence boundary: the Drive document states that an accompanying program, JSON certificate, and compressed NumPy archive exist, but none was located in accessible Drive search. The document also omits issuance package/library versions, datatype, declared norms/tolerances, recorded residual outputs, and an immutable result hash or commit. It therefore strengthens reconstruction provenance but does not close the E1 package audit or change the existing Correction-routed status.
The visual and documentary Kartekeya formalism is normalized to the current finite-dimensional E47 certificate spine.
$$ \mathcal H=V_2^{\otimes3},\qquad \dim\mathcal H=125 $$
$$ \mathcal H\cong V_0\oplus3V_1\oplus5V_2\oplus4V_3\oplus3V_4\oplus2V_5\oplus V_6 $$
$$ C=(J^{\mathrm{tot}})^2,\qquad K=(C-6I)(C-30I) $$
$$ E_{47}=\ker K=5V_2\oplus2V_5,\qquad \dim E_{47}=47,\qquad \Omega_c=\frac{47}{125}=0.376 $$
$$ P_{47}=P_6+P_{30} $$
$$ P_{47}(C)=\frac{C(C-2I)(C-12I)(C-20I)(C-31I)(C-42I)}{1814400} $$