THE MATRIX · Quantum Simulator

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CERTIFIED · E1 SOFTWARE QUANTUM SIMULATION

MC-MATRIX-PARITY-20260921-001 · 8 qubits · 24 layers · χ = 16 · φ = 0.7

Python MPS ↔ dense: phase-aligned L2 6.980e-15 · fidelity 1.0 · discarded weight 5.24e-32

Independent Qiskit Aer: L2 1.503e-14 · fidelity 1.0000000000000004 · Qiskit 2.5.0 / Aer 0.17.2

Typed boundary: 256→125 is a normalized feature map, not a Hilbert-space isomorphism. E47 begins only after the lift. 125→128 is an isometric embedding with zero padding-state population.

OPEN MATRIX · PARITY CERTIFICATE · E47 PRISM CERTIFICATE · PRISM FORMALISM · E47 Prism Spectral Formalism · DRIVE MIRROR · SOURCE

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Aether-X / ICEE metric lensing (live)

Typed E2 visualizer on the MANTA bus. Algebra of K remains E0/E1.

• Chain: K=(C-6I)(C-30I) → E47=ker K → Ωc=47/125 → Δg(ψ_C, ∇Ω, P_E) → geodesic
• PGO analog: ρm=9570 kg/m³, 600 nm stack, fdrive=2.40955 GHz, fnull≈42.5 kHz, vs=2891.46 m/s
• Mode B = phase lock(ρm, fdrive, vs, Ωc). 8-knot skyrmion Q ∈ ℤ. RCC meff = m0(1-Ωlocal).
• Continuum L=½‖Kx‖² and discrete B(x)=(1-Ωc)x+Ωc P_E x isolate λ ∈ {6,30}; off-kernel B = 78/125.
• Not a physical propulsion law. Hardware claims require the staged vacuum/interferometric campaign.

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MANTA FUSION · 2026-09-18

THE MATRIX 125-lift now powers MANTA. Capture on ker $K$ is the only coupling. Typed simulation bridge, not a physical propulsion law.

• Lift: sampled-amplitude feature map into $V_2^{\otimes 3}$ (dim 125) — not a Hilbert isomorphism
• Spectral: $\Gamma = I - \varepsilon K^2$, $\varepsilon_*=1/99144$, $\Omega_c=47/125$
• Evidence: E0/E1 on $K$ · E1 browser CHSH/teleport · E2 motion
• Engines: sim/manta_e47_engine.py · website/js/engines/manta-e47.js
• Live runtime: this Grok instrument (MANTA / Matrix / Spectra / Atlas)
• Intended Pages: MANTA · THE MATRIX · gateway
• Repos: github.io · E47-Kartekeya </aside>

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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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OPEN LIVE INTERFACE

THE MATRIX is now canonical on the GitHub-native City surface: open MATRIX. The earlier in-page and Grok surfaces remain lineage references; they are not the current code authority. Runtime authority is the repository-owned two-site MPS worker plus its Python/Qiskit parity gate.

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THE MATRIX · QUANTUM SIMULATOR

How does a finite qubit register evolve, entangle, truncate, and survive an independent parity check?

A browser-native statevector lab on $(\mathbb{C}^2)^{\otimes n}$, $n \le 8$: live column evolution, Born collapse with classical $cX$/$cZ$, CHSH, 3-qubit bit-flip QEC, BB84, MPS truncation, and the E47 algebraic witness.

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quantum-matrix.html

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LIVE INTERFACE

The embed above is the original site Matrix (in-page). The standalone City OS lab is this Grok App Builder instrument: live preview, shots, QFT/CP, teleport, CHSH, QEC, MPS, E47, Atlas.

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Research mandate

THE MATRIX is the Mini AI Labs quantum-circuit instrument. It sits with The Cube — E47 Geometric Computation and SIGILLUM — Forty-State Spectral Computer as a selected system: The Cube interrogates the 125-state carrier; SIGILLUM interrogates the 40-state seal; THE MATRIX interrogates an $n$-qubit statevector.

$$ (\mathbb{C}^2)^{\otimes n} \longrightarrow U_{\mathrm{col}} \longrightarrow \lvert\psi\rangle \longrightarrow M,\; cX,\; cZ $$

Mathematical spine

• Carrier: $n \le 8$ qubits, complex amplitudes, $\|\psi\|^2 = 1$.