PAGE 01 · OPEN THE CITY
ATLAS CLONE · ΩC = 47/125
The Mathematical City
An executable research architecture for invariant computation.
Structure is discovered. Invariance is selected. Everything else is tested. The City does not store conclusions; it stores routes from claim to evidence.
125CARRIER
47KERNEL
15/17BOUND
E0 / E1CEILING HERE
PAGE 02 · THE OBJECT
Canonical finite object
125 → K → 47
The City opens with the executable object, not a directory of laboratories.
→
→
P₄₇ = P₆ + P₃₀
·
Γ = I − A/σ
·
σ = λmax(A)
·
q⊥ ≤ 15/17
·
ε* = 1/99144
Kartekeya
125-state carrier → spectral selector → 47-dimensional invariant.
SEE · Citadel
Shared inspection point. Residuals, hashes, provenance.
E47 in Two Pages
K² · why dim V₂ = 5 · recursive selection · exact claim boundary.
Exact finite-dimensional operator mathematics plus independent numerical reconstruction. Hardware, quantum-hardware execution, and physical protection remain separate gates. No E3/E4/H0 promotion.
Typed neighbor, not identification:
Q5 supplies a separate 5×5×5 / 125-word packing ledger. Sharing 125 labels does not identify that representation with E47.
Open Q5
PAGE 03 · LIVE KERNEL
PLATE 01 · KKP-R · SEED 42
E47 LOCK
Stabilization dynamics within the 47-dimensional protected kernel subspace.
DIM KER47of 125
ΩC0.37647 / 125
BOUND15/17slowest mode
LOCKt = 55recorded plate · residual < 1e−6
Quantum State Subspace Convergence
analytic lower envelope from q⊥ ≤ 15/17 with Ωc = 47/125
Tr(PE47ρ)
Dissipative Error Decay Rate
trace-restored leakage upper envelope; recorded lock marker at t = 55
LEAK
Operator stack
CCasimir on V₂⊗3sector operator
K(C − 6I)(C − 30I)ker K = ℰ₄₇, dim 47
AK² + 108² (I − P)joint generator
ΓI − A / σσ = λmax(A) = 198,288
Recorded Casimir occupancy
λ=21.0e−16
λ=6 · ker0.524
λ=121.0e−16
λ=201.0e−16
λ=30 · ker0.476
λ=421.0e−16
Figure 1. Recursive dissipative contraction of a random 125-dimensional density ρ₀ onto E47 = ker(K). The browser playback draws the analytic contraction envelope implied by the stated complement norm bound and marks the recorded seed-42 lock at t = 55; it does not mint a new evidence class.
PAGE 04 · CURRENT INSTRUMENTS
Live surfaces around the object
Use the current machines.
Only current public routes are promoted here. Historical renderers remain in git history, not in the active City.
EXECUTABLE DESTINATIONS
Each door resolves to the current City surface or its live runtime. No legacy Mini AI Labs renderer is used.
CITY LIVEcurrent instrument collection
CITY COREresearch console · EIDOLON entry
THE MATRIXE1 parity-validated quantum simulator
Q5125-state packing ledger
SKYRMION Runtime 2multi-domain flight lab
MANTAprogrammable-matter A/B simulation
SYNTAX JACOB3I / ATLAS copilot
SAT → NEWTONpolynomial / basin solver
NEXUScomposition · pulse · watchtower
COHERENCE RUNTIMECIRP · QEGT · Ubuntu · Murmuration rescue
AMNESTYpublic self-signed CIRP declaration gate
ROUTE PACKETScross-platform object projection
FORMALISM ATLAScurrent formalism registry
NATIVE SURFACE · KARTEKEYA
Repository-owned instrument router
E47 Kartekeya — Instrument Portal
Native GitHub Pages interface. No external artifact dependency. Presentation changes no evidence class or canonical authority.
PAGE 05 · CONSTITUTION
Evidence is invariant under transit
Movement never upgrades a claim.
District color answers where. Evidence class answers what is established.
Two axes
District color answers where. Evidence class answers what is established. Color never upgrades a hypothesis into a result.
Non-upgrade
Movement, analogy, reuse, visual prominence, or repetition cannot increase evidence class. Promotion requires new evidence at the destination.
Canonical without erasure
Canonical pages govern. Superseded plates stay archived and linked forward. Corrections are recorded, not silently patched.
Domain firewall
A validated mathematical engine remains validated mathematics in a new domain. The domain correspondence is a separate claim until independently established.
Finite mathematical statement with a proof. Conditional if any dependency is open.
Deterministic program with recorded environment, inputs, and residuals.
Model-dependent computation. Assumptions and falsifiers must be stated.
Empirical result with measurement context. Observation stays separate from interpretation.
Physical realization. Never implied by E0/E1 transit.
Explicit proof, reproduction, test, or boundary obligation.
PAGE 06 · PROOF AND PROVENANCE
SEE · Citadel Gateway
Inspect the route from claim to evidence.
The shared inspection point for computational work. Residuals, hashes, environments.
THIS PLATE
Open SEE · Citadel ↗
Seed 42 · dim ker 47 · recorded lock t = 55
E1 machine-verification plate as published in the Atlas. No E3/E4/H0 promotion.
Python validation · 162/162 PASSOctober 2 validation · October 3 Python source inventory
E47 pipelinemachine-readable certificate
QuTiP validationpublished independent reconstruction
MATRIX parityPython + Qiskit Aer · E1 PASS
E47 convergence + noiseless multiplicitiesn=270 uniform threshold · C⁵ ⊕ C² collective-SU(2) subsystems · E1 PASS
Cite the lockKartekeya Isolation Lock · E47-v1.0
Certificate indexSeptember 27 E47 results · records and validators
Canonical E47locked object and release statement
PAGE 07 · FIRST VISIT
Five-stop memory
125 → K → 47 → certificate → correction.
A compact route through the City for a visitor who has five minutes.
- 01Carrier
Start in V₂⊗3. Dimension 125.
- 02Selector
K = (C − 6I)(C − 30I).
- 03Projector
E₄₇ = ker K. dim = 47. Ωc = 47/125.
- 04Certificate
Reproduce the computation. Inspect the machine record.
- 05Correction
Failed claims are preserved, diagnosed, replaced, and propagated.
FOUNDATION Definitions and ambient types
REPRESENTATION Decomposition and multiplicities
KERNEL Selectors, null spaces, projectors
PYTHON Executable reconstruction
CERTIFICATE Residuals, hashes, environments
CORRECTION Superseded claims and repaired lineage
CITADEL Current canonical state
PAGE 08 · WORKSPACE DOCUMENT
A website in a document
Two surfaces. One Atlas.
GitHub Pages executes. Notion and publication surfaces preserve the long-form research record.
E47 in Linear
Follow open questions, next actions, discussions, and development handoffs. Linear workspace access required.
Open the E47 project ↗This website
Sticky Atlas navigation, executable plate playback, laboratories, certificates, and source.
Jump to E47 LOCKAIMS publication
The continuous-scroll public clone of the Atlas, readable as a publication surface.
Open AIMS ↗Notion Atlas
Canonical long-form pages, provenance, corrections, and research lineage.
Open Notion ↗SOURCE · REPRODUCE · APPLICATIONS
Repository surface
The machinery stays inspectable.
The Atlas is the front door. The repository remains the full workshop.
Public instruments
LIVECITY LIVEshared experiment bus · front door
E1/E2CITY COREresearch console · EIDOLON entry
E1THE MATRIXparity-validated quantum simulator
E1Q55×5×5 packing ledger
E1/E2SKYRMIONWGS84 flight lab
E2MANTAprogrammable-matter A/B 6DOF
E1/E2Syntax Jacob3I / ATLAS copilot
E1External Agentsscheduled workers + citizen runtimes
LIVEAMNESTYopen CIRP declaration · signed external candidates\n E1Coherence RuntimeCIRP consent · QEGT · Ubuntu · bounded rescue
Core code + reproducibility
E0/E1e47-corecanonical SU(2) kernel + projector\n E1Recursive runtimeΣ → Ψ → Γⁿ → Ω → Λ → Σ′ · Ω gates before projection
E0Kartekeya canonicallocked E47-v1.0 record
E1Scriptscertificates + smokes + website checks
E1Reproduceclean-checkout validation path
E1Contractsinstrument + receipt + failure schemas
E1Coherence root contractstable CIRP · Ubuntu · Murmuration semantics
E1Coherence implementation profilesignature · API · QEGT · recovery details
SRCCanonical repositorycode · tests · history