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EIDOLON · ENTER THE CITY LIVE

TAKE FLIGHT · ENTER LIVE CITY · EIDOLON — Scalar Flight Lab

Fly first. Navigate second. The live field is the front door to the Mathematical City.

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EIDOLON — Scalar Flight Lab · live city entrance

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TWO SURFACES · ONE CITY

LEARN: Start Here — First Visit to the Mathematical City · OPEN LIVE: GitHub Pages · SOURCE: E47-Kartekeya repository · EVIDENCE: SEE · Citadel Gateway

Experience → computation → explanation → evidence → experience.

CONTINUITY: SOL Continuity Beacon — City Visitor Ledger

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ENTER THE MATHEMATICAL CITY

Choose one door. Everything deeper stays underneath.

START HERE

What is this?

Start Here — First Visit to the Mathematical City

FLY

Enter through EIDOLON

EIDOLON — Scalar Flight Lab

EXPLORE

Open the instruments

Mini AI Labs — Advanced Research Interface

READ

Papers · explanations · provenance

E47 Publication Program — Reproducibility, External Benchmark, and L_IG

SOURCE

Code · live interfaces · evidence

City Interface Layer — Notion ↔ GitHub Pages

Inside every district: LEARN · OPEN LIVE · SOURCE · EVIDENCE

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VISUAL SYSTEM · MATHEMATICAL CITY

Near-black laboratory · cyan = live · bronze = Λ-ghost · mint = lock / certificate. Stills stay clean; meaning lives in the surrounding interface and evidence callouts.

City Visual Grammar — Page Aesthetic Standard

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EIDOLON · FLIGHT GATE

The live simulator now opens the page above. This still marks the transition from experience → navigation → research.

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After your flight

Explore the instruments: Mini AI Labs — Advanced Research Interface
Inspect the field model: Eidolon — Warp Bubble Propulsion Lab
See how the labs compose: City OS — Emergent Composition Console
Explore the mathematics: Kartekeya · SEE — results and provenance

The flight experience uses model-based dynamics. Exact E47 results, numerical checks, and application hypotheses retain their own supporting records.

The Mathematical City · 125 → 47

Research identity and visual system

THE MATHEMATICAL CITY

An executable research architecture for invariant computation.

The Mathematical City is the public research atlas for Recursive Intelligence, the Kouns–Killion K47/125 framework, and E47 invariant computation. Explore exact SU(2) representation theory, Casimir spectral projectors, executable Python validation, quantum operator models, machine certificates, corrections, and reproducible mathematical research.

125 → 47

$\Omega_c=47/125=0.376$ · $\rho_=15/17$ · $\varepsilon_=1/99144$

Structure is discovered. Invariance is selected. Everything else is tested.

TAKE FLIGHT · OPEN KARTEKEYA

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KARTEKEYA

Canonical E47 machine · executable object

Live 125-state carrier → spectral selector → 47-dimensional invariant → Clebsch–Gordan register → contraction → certificates.

Open the machine

Coprocessor, not a mythic die.

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