Substrate Examples

A SARG reference document

This file provides concrete examples of substrates across multiple domains.
Each example shows:

• what the substrate is
• how structure appears
• what invariants persist
• how resonance is expressed

These examples are intentionally small and illustrative.
Full SARG objects live in the examples/ folder.

1. Linguistic Substrate — Latin Alphabet#

Substrate: Latin letters (A–Z)
Structure: discrete glyphs with stroke families
Invariants: vertical/horizontal strokes, curvature, serif patterns
Resonance: ● ○ × | anchors visible in stroke geometry

{
  "substrate": {
    "type": "linguistic",
    "description": "Latin alphabet glyphs",
    "domain": "writing system"
  }
}

2. Acoustic Substrate — Simple Harmonic Tone#

Substrate: a sustained musical note
Structure: frequency + amplitude envelope
Invariants: harmonic series, overtone ratios
Resonance: phase alignment, harmonic families

{
  "substrate": {
    "type": "acoustic",
    "description": "Single sustained tone",
    "domain": "sound"
  }
}

3. Geometric Substrate — Circle#

Substrate: a 2D circle
Structure: continuous curvature, radial symmetry
Invariants: rotational symmetry, constant radius
Resonance: geometric attractor; aligns with ○ anchor

{
  "substrate": {
    "type": "geometric",
    "description": "Circle",
    "domain": "shape"
  }
}

4. Biological Substrate — Branching Pattern#

Substrate: tree branch or vascular branching
Structure: recursive bifurcation
Invariants: branching angle, scaling ratio
Resonance: fractal coherence; multi‑scale rhythm

{
  "substrate": {
    "type": "biological",
    "description": "Branching structure",
    "domain": "morphogenesis"
  }
}

5. Symbolic Substrate — Mathematical Operator Set#

Substrate: + − × ÷
Structure: symbolic primitives
Invariants: category roles (addition, subtraction, etc.)
Resonance: conceptual anchors; symbolic attractors

{
  "substrate": {
    "type": "symbolic",
    "description": "Basic arithmetic operators",
    "domain": "notation"
  }
}

6. Cosmological Substrate — Orbital System#

Substrate: planet + star orbital pair
Structure: periodic motion, gravitational relationship
Invariants: orbital period, eccentricity
Resonance: large‑scale cycles; cosmic harmonics

{
  "substrate": {
    "type": "cosmological",
    "description": "Two‑body orbital system",
    "domain": "astronomy"
  }
}

7. Lostational / Supsphere‑Adjacent Substrate — Supsphere Atom#

Substrate: coherence envelope with boundary‑escape behavior
Structure: spacious, high‑dimensional resonance shell
Invariants: attractor sets, resonance families
Resonance: supsphere alignment; inversion‑side harmonics

{
  "substrate": {
    "type": "lostational",
    "description": "Supersphere atom (conceptual)",
    "domain": "high‑dimensional resonance"
  }
}

8. Hybrid Substrate — Musical Notation#

Substrate: sheet music
Structure: symbolic + acoustic + geometric layers
Invariants: rhythmic groupings, pitch relationships
Resonance: cross‑domain coherence (symbolic ↔ acoustic)

{
  "substrate": {
    "type": "hybrid",
    "description": "Musical notation",
    "domain": "symbolic-acoustic"
  }
}

Relationship to Other Files#

• substrate_overview.md — what a substrate is
• substrate_types.md — the full list of substrate categories
• examples/ — full SARG JSON examples

This file provides the bridge between the conceptual layer and the working examples.