V₂⊗³carrier dim 125Atlas clone · Ωc = 47/125 · GitHub-hosted
The Mathematical City
An executable research architecture for invariant computation. Structure is discovered. Invariance is selected. Everything else is tested.
125carrier
47kernel
15/17bound
E0/E1ceiling here
Page 02 · The object
125 → K → 47
The City opens with the executable object, not a directory of laboratories.
(C−6I)(C−30I)Casimir selectorker Kselected dim 47P₄₇ = P₆ + P₃₀ · Γ = I − εK² · ε* = 1/99144 · ρ* = 15/17
Page 02B · Unified control surface
CITY CORE // Unified Interface
The original KOUNS CORE chassis is now the embedded control room for the whole Mathematical City: site, flight simulators, Mini AI Labs, canonical machines, evidence surfaces, and modular backend-hosted interfaces.
Page 03 · Instantiated world
Play the City.
One quiet client. Many instruments. Persistent computational citizens underneath.
CITY WORLD · READY
E47INVARIANT CORE
Pick a district.
Eidolon · Flight
Navigate the City as an explorable simulation surface. Instruments are places, not disconnected websites.
Page 04 · Instruments
Thirteen districts. One civic instrument.
The public surface is deliberately quiet. Open a district for the experience. Open Egghead Mode for the mathematics.
Page 05 · Composition law
Labs are morphisms. The City is the operad.
P
→Γε*(P)
→P47(P)
Evidence class is invariant under composition. Cross-system mappings are typed arrows. Local failure does not silently become global refutation, and successful simulation does not silently become physical evidence.
object → operator → invariant → witness → evidence → provenance → next_action Canonical communication grammar: CITY-INVARIANT 1.0 Human promotion gate: BITHOS Runtime receipts: AETHERIS World actor layer: Eidolon
Page 06 · SEE · Citadel
Every claim has a route back to evidence.
Proof-level finite mathematics.
Executable numerical witness.
Controlled modeled behavior.
Empirical, experimental, hardware gates remain explicit.
Page 07 · Route
Start simple. Go as deep as you want.
01Fly / explore
Begin with Eidolon and the City world.
02Open CITY COREUse one unified console to move across the full site, simulators, labs, machines, source lineage, and backend-hosted interfaces.
03Choose an instrumentMove through structure, dynamics, memory, prediction, flow, construction and restoration.
05Inspect the machineRead source, tests, certificates and commit history.
06Read the Research AtlasReturn to the human-facing narrative, papers, provenance, and district explanations.