The Mathematical City Mini-AI Labs
THE MATHEMATICAL CITY
Mini AI Labs
Eleven live labs. One recursive instrument. Branded artwork is embedded directly inside every card.
STRUCTURE → INVARIANCE → FIELD → DYNAMICS → MEMORY → MEASUREMENT → PREDICTION → FLOW → PERSISTENCE → CONSTRUCTION → RESTORATION → STRUCTURE
Each lab isolates one scientific question. Together they form a linked experimental interface for structure, transformation, scalar fields, motion, provenance, measurement, prediction, flow, persistence, construction, and restoration.
01STRUCTURE
SPECTRA
ALGEBRAIC VISUALIZATION LAB
What structure is there?
E0/E1 substrate · visualization layer
FOLD
LEVINTHAL CONTRACTION VISUALIZER
What survives transformation?
E2 visualization / representation challenge
03DYNAMICS
MURMURATION
TOPOLOGICAL DATA SWARM LAB
How does structure move and reorganize?
E1/E2 by reconstruction or synthetic trajectory
04MEMORY
MNEMOSYNE
MEMORY & PROVENANCE LAB
What did we know, and when did we know it?
Commit · reveal · provenance discipline
05MEASUREMENT
DENSITY
What can we reconstruct from incomplete observation?
HORIZON
PROSPECTIVE FORECAST CONSOLE
E2 synthetic prospective forecast
WAVE
How does coherent structure evolve in a fluid?
E2 · periodic 2D fluid simulation
08PERSISTENCE
Identity
TRANSPORTED IDENTITY PROJECTOR
What remains the same as the system changes?
E2 structural transport · TIP projector metrics
BUILD
How does structure assemble around an invariant?
E0/E1 affine contraction · centroid invariance · dispersion descent
SOAR
Can an invariant sector be restored and deliberately transformed without leaving itself?
E47 control · programming · restoration · evidence typed by module
11FIELD
SCALAR
ALGEBRAIC QUANTUM SCALAR FIELDS
What scalar field survives the algebra?
Finite E47 spectral core · deterministic scalar-field visualization lift · terminal λ∈{6,30} · continuum map remains explicitly visualization-typed
The recursive loop
SPECTRA identifies structure · Fold tests invariance · SCALAR renders the selected algebra as a scalar field · Murmuration follows dynamics · Mnemosyne binds chronology · Density reconstructs measurement · Horizon forecasts · Wave evolves the carrier · Identity tests persistence · BUILD constructs convergence · SOAR restores the selected sector · SPECTRA measures what remains.
📦 Architecture
Typed handoffs, frozen declarations, stage hashes, reveal, scoring, and packet semantics live below the public interface.
📚 Documentation
Source, operating records, validation, provenance, and corrections stay with each lab and the City machine layer.
Evidence classes remain lab-specific. The portal is the front door, not the machine room.
