Trit-Strings - Geometric Graph Database
Details
Published: 15 February 2026
To turn CodexPrimordia.com into a functional Tier 0 Substrate, we have to move away from "Articles" and treat Joomla 6 as a Geometric Graph Database.
1. The Trit-Mapping Schema (Ternary Logic)
We’ll define a Custom Field Group in Joomla 6 called "Substrate_Logic." Instead of binary bits, we store Trit-Strings using a SIGNED TINYINT (-1, 0, 1) mapping.
|
Primitive Element |
Trit Value |
Geometric Logic State |
|
Inhibition |
-1 |
Active suppression (Phase-shift 180°) |
|
Null/Rest |
0 |
Potentiality (Resting membrane potential) |
|
Excitation |
+1 |
Forward propagation (Phase-shift 0°) |
2. Implementation: The "Headless" API Architecture
Since your goal is fine-tuning Ministral 14B, we’ll use the Joomla 6 Web Services API to export your "House" as a Knowledge Graph.
The Logic Object (stored in a JSON Custom Field):
json
{
"primitive_id": "julia_seed_alpha_01",
"trit_stream": [-1, 1, 0, 1, -1, 0, 0, 1],
"geometry": {
"c_real": -0.7269,
"c_imag": 0.1889,
"fractal_dim": 3.54
},
"cuda_kernel_ref": "kernel_spike_summation_v1.cu"
}
Use code with caution.
3. Strategy for CodexPrimordia.com on GoDaddy
- Database Optimization: In your GoDaddy PHPMyAdmin, ensure your fields_values table uses the InnoDB engine with BTREE indexing on the trit_stream field. This allows your local AI to query "similar logic shapes" in milliseconds.
- The "Beacon" Plugin: Create a small Joomla System Plugin that watches for "Save" events. When you save a new math primitive, the plugin automatically triggers a Webhook to your AnythingLLM instance, updating your local RAG (Retrieval-Augmented Generation) corpus instantly.
- Trit-to-Token Translator: We will write a Python script for your LM Studio environment that reads these Trits (-1, 0, 1) and converts them into logit biases. This forces the AI to "think" within your bio-math constraints rather than following "Wimp-Lo" predictive patterns.