logos/docs/architecture_overview.md

LOGOS Architecture Overview

Logarithmic Ordering Generation Operating Software

A fundamental pivot from the "muscle head era" of brute-force scaling toward deep architectural engineering of stable, mathematically guaranteed structures.

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Core Philosophy

The LOGOS architecture moves away from statistical probability toward a structural skeleton rooted in:

• Number Theory
• Prime Factorization
• Tensor Topology

Intelligence is redefined as the optimization of pathing through token space.

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1. Data Dissolution and Atomic Ingestion

The Context Nightmare

LOGOS bypasses the "nightmare" of managing raw statistical token storage by employing a process called Dissolution.

Data Atoms

Dissolution strips unnecessary context and redundancy, reducing input to irreducible "data atoms" (integers) designed for optimal agent digestion.

Baking Structural Fidelity

Visual data undergoes "baking", which utilizes the Structural Similarity Index Measure (SSIM) to prioritize functional shape and perceived content over raw bit-by-bit minimization.

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2. Agent Orchestration (AF)

The Agent Flow (AF) is a collaborative, parallel orchestration system rather than a sequence of independent intelligences:

Agent	Role
Dolphin	Systems oversight and tokenization orchestration
Gemma	Image metadata management and visual redundancy stripping
L (Internal Scripts)	Text dissolution and conceptual factorability
RNJ-1	Encoding agent, physically filing atoms onto the Matroska manifold

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3. The Mathematical Grammar: MTL

The Meta Tensor Language (MTL) defines reasoning as the optimization of pathing through token space. Its logic gates are derived from number theory:

Operation	Function
Hold	Open Composite → Prime factorization to reach irreducible components
Attach	Factor → Structural assembly, nesting prime factors within a tensor
Xelta (Δ)	Atomic change tracking → Essential for memory and stability over time

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4. Transport and Resonance (SPCW)

The Scalar Prime Composite Wave (SPCW) is a self-stabilizing transport protocol that abandons traditional network lanes.

GPF Filtering

Categorizes atoms by their Greatest Prime Factor to determine routing paths.

Harmonic Resonance

Uses prime gap repeating sequences to fill "phase holes," allowing the system to re-align signals in noisy environments.

Heat Metrics

Metric	Description
Meta Heat	Overall complexity measurement
Delta Heat	Atomic change tracking for lossless transmission (only move shifted atoms)

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5. Topological Structuralism

The Matroska Topology is a 3D tensor space where domains are recursively nested.

Canonical Distinction

Nesting allows identical "low domains" (e.g., two users performing the same math) to exist within separate "high domains" without context collision or amnesia.

Self-Structuring Nodes

Every node address is context-dependent, modifying its tensor index based on the relational path taken to reach it.

Grokking

Redefined as the discovery of the underlying data flow topology, where semantic gravity (user intent) is permitted to pull nodes and physically realign prime sequences.

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Implementation Status

Component	Status	Location
MTL Interpreter	✅ Turing Complete	logos/mtl/interpreter.py
Genesis Block	✅ Defined	logos/mtl/genesis.json
Prime Token DB	✅ Active	logos/memory/prime_db.py
Domain-Keyed Memory	✅ Verified	MTL (domain), (in-domain)
Hadamard Product	✅ Verified	MTL (mult) on lists
Inter-Domain Fusion	✅ Verified	Domain [6] = [2] × [3]
Fractran Loop	✅ Verified	Turing Complete via primes
Video Atomizer	✅ Active	logos/agents/video_atomizer.py
Web Atomizer	✅ Active	logos/agents/web_atomizer.py

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Genesis Block (Root Manifold)

{
  "1": "TIME",
  "2": "MECHANISM",
  "3": "RESULT",
  "5": "CHOICE",
  "7": "PERSIST",
  "11": "WHY",
  "13": "RELATE",
  "17": "IMAGE",
  "19": "TEXT",
  "23": "AUDIO",
  "29": "SIGNAL"
}

Derived Composites

Composite	Factorization	Meaning
[4]	2²	Previous (Mechanism of Mechanism)
[6]	2×3	Flip (Action = Mechanism × Result)
[10]	2×5	Around (Navigation = Mechanism × Choice)
[12]	2²×3	Thought (Result of Previous)
[14]	2×7	Hold (Mechanism of Persistence)

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Document Version: 2026-01-11 Source: LOGOS System Architecture / NotebookLM Integration