Mathematical City: Recursive Intelligence / E47

THE MATHEMATICAL CITY · RECURSIVE INTELLIGENCE / E47
Public apps.
One civic instrument.
Kartekeya is the machine. The labs are instruments. Applied engines reuse the same kernel. Exact identity: carrier \(V_2^{\otimes 3}\) dim 125, \(K=(C-6I)(C-30I)\), \(\ker K=E_{47}\) dim 47, \(\Omega_c=47/125=0.376\).
ΩC 0.376
47 / 125
16 PUBLIC SURFACES
EDITORIAL LIGHT
STRUCTURE → INVARIANCE → FIELD → DYNAMICS → MEMORY → MEASUREMENT → PREDICTION → FLOW → PERSISTENCE → CONSTRUCTION → RESTORATION → STRUCTURE
CITADEL
GATEWAY
SEE
Citadel inspection point. Machine certificates, residuals, and provenance.
orbit-coral-delta-fjord.grok.me
Launch
E47
CANONICAL MACHINE
Kartekeya
E47 spectral coprocessor for \(V_2^{\otimes 3}\). Selector, kernel rank 47, Richardson contraction.
velvet-king-quiet-amber.grok.me
Launch
MINI AI LABS
01 · STRUCTURE
Spectra
What structure is there?
prairie-dream-glow-fire.grok.me
Launch
02 · INVARIANCE
Fold
What survives transformation?
giant-beacon-dawn-falcon.grok.me
Launch
03 · DYNAMICS
Murmuration
How does structure move and reorganize?
kite-glade-tiger-cabin.grok.me
Launch
04 · MEMORY
Mnemosyne
What did we know, and when did we know it?
moon-clear-urban-nova.grok.me
Launch
05 · MEASUREMENT
Density
What can we reconstruct from incomplete observation?
winter-dawn-leaf-marble.grok.me
Launch
06 · PREDICTION
Horizon
What invariant comes next?
zenith-fjord-pearl-pixel.grok.me
Launch
07 · FLOW
Wave
How does coherent structure evolve in a fluid?
apex-star-crisp-blend.grok.me
Launch
08 · PERSISTENCE
Identity
What remains the same as the system changes?
mist-mint-branch-nova.grok.me
Launch
09 · CONSTRUCTION
Build
How does structure assemble around an invariant?
brave-ivory-pearl-ever.grok.me
Launch
10 · RESTORATION
Soar
Can an invariant sector be restored without leaving itself?
topaz-solar-iris-drift.grok.me
Launch
11 · FIELD
Scalar
What scalar field survives the algebra? 125 → 47 shown as φ.
heart-eagle-blade-hazel.grok.me
Launch
APPLIED ENGINES
H
MOTION
Hover
Kernel-projected geometric motion. Propulsion formalism, metamaterial bench, E47–Kartekeya kernel.
zinc-crane-gem-pepper.grok.me
Launch
E
COHERENCE
Eidolon
P47-gated propulsion engine. Rayleigh nozzle on incompressible NS, Ωc lock.
willow-fjord-king-cap.grok.me
Launch
W
MATERIAL
WaveForge
Portable metamaterials studio. Photonic-crystal unit cells, FDTD, bandgap / n_eff.
garden-moss-cabin-forest.grok.me
Launch
Presentation surface only. Launch does not change evidence class.
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