Independent research software by Nick Kouns: finite-dimensional spectral mathematics, quantum instruments, flight simulations, and inspectable computational records.

Fly EIDOLON · Open the City · Q5 cube · All instruments · Documentation

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Try the workEIDOLON flight, then the instrument directoryUnderstand the mathematicsE47 research notes and Python implementationReproduce a resultReproducibility guide, tests, and certificatesDevelop an instrumentSource map, architecture, and contributing

Open an instrument

InstrumentPurposeSourceCITY CORE / EIDOLONFlight entry and direct instrument navigationCore · EIDOLON binding MANTAMorphing aircraft simulation with a fixed baselineFlight app · Python model Syntax Jacob3I/ATLAS trajectory and propulsion interfaceSource and provenance THE MATRIXQuantum circuit and statevector instrumentSource CITY 125Visual debugger for the 125-state runtimeRuntime guide Q55×5×5 packing ledger with executable cube/torus navigation, live neighbors, slices, and concomitant topology panelq5/ · host.py VisualizersIndependent scientific visualizer portalsSource SKYRMIONConventional and explicitly typed experimental-simulation flight modelsBrowser runtime · Python boundary/witness Propulsion AtlasFlight and propulsion interface directorySource

Browse every interface, including companion views and external-app shells →

Find the work

DirectoryContentsq5/Frozen 125-word packing ledger, codec, cube/torus topology grammar, live panel, validator, one-pass host.pysrc/E47 mathematics, AETHERIS state transitions + flight witness boundary, MANTA Python modelwebsite/GitHub Pages source and independent browser instrumentsweb/Shared browser graphics modulesresearch/E47 theorem notes, open proof obligations, Stargate researchdocs/Guides grouped by task and instrumentscripts/ · tests/Reproduction commands and executable checkscertificates/ · trajectories/Committed certificates and flight-replay recordscontracts/ · lab-manifest.jsonExisting component, receipt, and failure formatscity/external-agents/External-worker integration and local contracts

Each instrument retains its own entry point, assumptions, evidence, and implementation. The instrument directory is navigation; it does not replace those interfaces.

Run locally

For the browser interfaces, serve the existing website/ directory:

python q5/host.py serve

That command validates q5/cells.jsonl, writes website/interfaces/q5/ from the ledger, and hosts the City site including the cube. Equivalent static serve:

python -m http.server 8000 --directory website

Open localhost:8000 or the cube. Interfaces that use external services still require those services.

For Python development, use Python 3.12+from the repository root:

python -m venv .venv
source .venv/bin/activate
python -m pip install -e . -r requirements.txt -r requirements-dev.txt
python -m pytest tests/ -v

Use Node.js 22+ for browser-runtime checks. See the command directory and complete reproduction guide.

Finite E47 core

The construction uses V = V₂ ⊗ V₂ ⊗ V₂, total Casimir C, and K = (C − 6I)(C − 30I). Its selected space is E₄₇ = ker(K).

InvariantValueCarrier dimension125Kernel dimension47Kernel fraction47 / 125K² spectral gap11664K² largest eigenvalue186624

Exact mathematics, machine reconstruction, simulations, and empirical work have separate evidence labels. The validation scope, provenance, and each instrument's local record describe the supported claims.

Related repository

nicholaskouns-create.github.io contains the personal-site atlas and an earlier research-code snapshot. This repository contains the current E47 package and expanded instrument collection.

Research atlas on Notion · How to cite · License· Contribute

Nick Kouns https://www.aims.healthcare

Repository files navigation

E47-Kartekeya · The Mathematical City

Open an instrument

Find the work

Run locally

Finite E47 core

Related repository

E47 Mini AI Labs & Flight Simulators GitHub Mirror