OPEN KNOWLEDGE MESH PROTOCOL (NFGP/1.0)

The Federated Mesh

How external research repositories, specialized software libraries, and personal projects federate into Nexologium as sovereign knowledge nodes.

1. Sovereign Autonomy

External repositories maintain their own vocabularies, release cadences, and internal architectures. Nexologium imposes no centralized taxonomic hierarchy.

2. Typed Outbound Bridges

Every sovereign node declares explicit hyperedge connections to canonical Ologiums, backed by mathematical, physical, or semiotic rationales.

3. Verifiable Machine Manifests

A standardized JSON manifest at .well-known/nexologium.json ensures automated parsing, cryptographic validation, and graph ingestion.

Indexed Community Repositories (3)

Schema: v1/mesh.json

Verified Federated CommunityAnchor: Sonologium

Open Spectral DSP & Waveguide Engine

GitHub Repo

Open-source GPU-accelerated acoustic waveguide physical modeling library.

DECLARED SOVEREIGN NODES & BRIDGES:

GPU 2D Waveguide Mesh (Acoustic Physics)

Discrete physical modeling of 2D membrane vibrations via 4-port scattering junctions.

↳ Connects to Sonologium: Implements discrete spatial discretization of continuous Helmholtz wave equations.

↳ Connects to Morphologium: Scattering junctions map directly to finite-element structural elasticity nodes.

Verified Federated CommunityAnchor: Morphologium

Geodesic Discrete Polyhedral Manifolds

GitHub Repo

Rust crate for arbitrary topological polygon remeshing and discrete curvature computation.

DECLARED SOVEREIGN NODES & BRIDGES:

Discrete Angle Deficit Curvature (Differential Geometry)

Computing intrinsic Gaussian curvature over polygonal vertices via angle defect summation: $K_v = 2\pi - \sum \theta_i$.

↳ Connects to Morphologium: Calculates angular defect across quad valence singularities.

↳ Connects to Cartologium: Vertex angle deficits determine localized surface distortion when projected onto flat planes.

Verified Federated CommunityAnchor: Veridianum

Botanical L-System Synthesis Studio

GitHub Repo

Interactive visual environment for compiling stochastic parametric L-systems into 3D plant structures.

DECLARED SOVEREIGN NODES & BRIDGES:

Parametric Lindenmayer Compiler (Botanical Computation)

Context-sensitive string rewrite rules generating 3D botanical branch graphs.

↳ Connects to Veridianum: String replacement rules model chemical activator distribution along vegetative shoots.

↳ Connects to Morphologium: Output branch skeletons are subdivided into continuous manifold bark meshes.