Substrate Types
A SARG reference document
A substrate is any domain that carries structure.
SARG treats all substrates as equal — linguistic, acoustic, geometric, biological, symbolic, cosmological — because the grammar operates above the domain level.
This document defines the major substrate types recognized in SARG and shows how each expresses structure, invariants, and resonance.
1. Linguistic Substrates#
Examples: alphabets, phonemes, syllables, scripts, morphemes.
Structure:
- discrete symbolic units
- combinatorial rules
- positional constraints
Invariants:
- stroke families
- phonetic classes
- morphological roles
Resonance:
- alignment with universal anchors (● ○ × |)
- rhythmic and phonotactic coherence
2. Acoustic Substrates#
Examples: tones, harmonics, timbre, rhythmic patterns.
Structure:
- frequency relationships
- amplitude envelopes
- temporal spacing
Invariants:
- harmonic families
- stable rhythmic motifs
- spectral signatures
Resonance:
- overtone alignment
- phase coherence
- resonance‑family mapping
3. Geometric Substrates#
Examples: shapes, curves, symmetries, spatial patterns.
Structure:
- dimensional relationships
- curvature
- symmetry groups
Invariants:
- rotational symmetry
- reflection invariants
- topological persistence
Resonance:
- spatial anchors
- geometric attractors
- dimensional harmonics
4. Biological Substrates#
Examples: cellular patterns, neural structures, morphogenesis.
Structure:
- branching patterns
- growth rules
- feedback loops
Invariants:
- conserved motifs
- developmental constraints
- regulatory cycles
Resonance:
- metabolic rhythms
- oscillatory coherence
- multi‑scale biological harmonics
5. Symbolic Substrates#
Examples: icons, diagrams, glyphs, mathematical notation.
Structure:
- symbolic primitives
- relational layout
- semantic grouping
Invariants:
- category families
- relational motifs
- stable symbolic anchors
Resonance:
- conceptual alignment
- diagrammatic coherence
- symbolic attractors
6. Cosmological Substrates#
Examples: orbital systems, field structures, cosmic cycles.
Structure:
- periodicity
- gravitational relationships
- field interactions
Invariants:
- orbital families
- conserved quantities
- symmetry laws
Resonance:
- cosmic cycles
- field harmonics
- large‑scale coherence
7. Lostational / Supsphere‑Adjacent Substrates#
Examples: high‑dimensional resonance shells, coherence envelopes, supsphere atoms.
Structure:
- spacious coherence
- boundary‑escape behavior
- dimensional drift
Invariants:
- resonance families
- stable attractor sets
- cross‑regime persistence
Resonance:
- supsphere alignment
- inversion‑side harmonics
- dimensional resonance operators
8. Mixed or Hybrid Substrates#
Examples: writing systems with acoustic roots, diagrams with geometric + symbolic layers, biological rhythms expressed acoustically.
SARG treats hybrid substrates as multi‑layered objects with:
- multiple lenses
- cross‑domain invariants
- blended resonance mappings
How Substrate Types Fit Into SARG#
Every SARG object begins with:
"substrate": {
"type": "...",
"description": "...",
"domain": "...",
"notes": "..."
}
This file defines the allowed values for "type" and provides guidance for describing new substrates.