# Nexologium Full Machine Context (nexologium.com)

Nexologium is the central nexus and federated relational graph uniting the Megalodon knowledge institutions within Temporal Architecture.

## Architecture
- Federated Sovereignty: Each Ologium retains internal autonomy over its specialized taxonomy.
- Hyperedge Layer: Nexologium maintains directed relational mappings between sovereign nodes enriched with mathematical isomorphisms and rationales.

## Canonical Federated Institutions
1. Chromologium (chromologium.com): Optical physics, perceptual contrast (APCA), OKLCH uniform color space.
2. Morphologium (morphologium.com): Differential geometry, 3D polygon topology, Catmull-Clark subdivision, kinematics.
3. Cartologium (cartologium.com): Spatial epistemology, map projections, Tissot indicatrices, border topologies.
4. Sonologium (sonologium.com): Acoustics, psychoacoustics, Helmholtz standing wave resonance, Fourier spectra.
5. Lunologium (lunologium.com): Orbital mechanics, Laplace mean-motion resonance, Saros cycles, tidal locking.
6. Juralogium (juralogium.com): Jurisdictional topology, constitutional negative feedback, double jeopardy finality.
7. Praxologium (praxologium.com): Cybernetics, active inference, Free Energy Principle, Byzantine fault consensus.
8. Ludologium (ludologium.com): Ludic possibility spaces, state machines, Nash equilibria.
9. Veridianum (veridianum.com): Botanical computation, mantis shrimp Bouligand composites, mycelial Steiner routing.
10. Narratologium (narratologium.com): Peircean semiotics, boundary objects, monomyth cycles.
11. Modulogium (modulogium.com): Voltage-controlled synthesis, state-variable filter Q resonance.
12. Divinologium (divinologium.com): Hermeneutic pattern engines, archetypal geometry.

## Signature Traversal: Brutalist Architecture -> Mantis Shrimp
- Step 1: Brutalist Architecture (Morphologium) - Unadorned structural honesty and load-bearing béton brut.
- Step 2: Composite Material Physics (Morphologium) - Asymmetry in concrete tension/compression resolved via steel rebar reinforcement.
- Step 3: Biomineralized Chitin Cuticle Matrix (Veridianum) - Arthropod exoskeletons arrange helical alpha-chitin nanofibrils in calcium phosphate matrices (Bouligand structure).
- Step 4: Stomatopod Dactyl Club (Veridianum) - The mantis shrimp dactyl club survives 23 m/s cavitation impacts via helicoidal composite crack deflection.

## Machine JSON Schema: .well-known/nexologium.json
```json
{
  "$schema": "https://nexologium.com/schemas/v1/mesh.json",
  "name": "Project Name",
  "repositoryUrl": "https://github.com/org/repo",
  "anchorOlogium": "Sonologium",
  "declaredNodes": [
    {
      "id": "node-id",
      "label": "Node Label",
      "summary": "Summary of concept",
      "outboundBridges": [
        {
          "targetOlogium": "Sonologium",
          "targetNodeId": "acoustic-resonance",
          "rationale": "Why this links to acoustic resonance"
        }
      ]
    }
  ]
}
```