# LOGOS Technical Architecture & Manifesto

## 1. Philosophy: The Physical Logic Synthesis

**Architect**: Machinist-Researcher
**System**: LOGOS (Manifold-Constrained Transport Protocol)

### Research Convergence
LOGOS is a hardware-native implementation of state-of-the-art AI paradigms:

#### Recursive Language Models (MIT/Prime Intellect)
- **Matroska Topology**: Implements nested, externalized context environments directly into the bitstream.
- **Protocol**: Recursive Quad-Tree sharding (4KB → 64B Atoms).

#### Manifold Constraints (DeepSeek mHC)
- **Prime Harmonic Resonance**: Physically constrains data streams to a geometric manifold.
- **Benefit**: Structurally prevents signal explosion without compute overhead.

#### Nested Learning (Google HOPE / Titans-Miras)
- **Nested Complexity**: Implements Google's HOPE framework for recursive model scaling.
- **Titan/Mira Synthesis**: Optimized for extreme high-dimensional training (Titans) and real-time visualization (Miras).

#### Protocol 22: Holographic Synthesis (mhs)
- **Holographic Alignment**: Unifies mhs into a parallel interference bus.
- **Wave-Based Pulses**: Agents (RNJ-1, Gemma, Dolphin) interfere synchronously to generate deterministic coordinates.
- **Goal**: Absolute structural reconstructibility (SSIM 1.0) under high-entropy conditions.

> *"I build architectures that respect the physics of the machine—optimizing for heat, latency, and silicon constraints from day one."*

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## 2. Core Architecture: The Recursive Manifold

**System**: Mixture-of-Architectures (MoA) Recursive Language Model (RLM).
**Constraint**: Manifold-Constrained Hyper Connections (MHC).
**Addressing**: Scalar Prime Composite Wave (SPCW) & Heat Codes.
**Tokenization**: [Periodic Table of Matroska AI Elements](./periodic_table.md).
**Foundational Logic**: Prime Composite Interplay (PCI) & Atomic Decomposition.

### 2.1 Sensory & Architecture
*   **Sensory Atoms**: Beyond Text (`To`) and Vectors (`Ve`), we recognize **Audio (`Au`)** and **Visual (`Vi`)** as fundamental states of matter.
    *   *Video 10 Insight*: Local TTS (Chatterbox) enables the generation of `Au` atoms without external dissonance.

### 2.2 Prime Composite Interplay (PCI)
*   **Classification**: All data is classified via a prime filter. Primes are foundational atoms; Composites are defined by their Greatest Prime Factor (GPF).
*   **Decomposition**: High-bandwidth streams are split into `ATOM_A` (Prime Dominant) and `ATOM_B` (Composite Dominant) channels.
*   **Logic Gates**:
    *   `Attach/Factor`: Decompose to primes (e.g., 20 -> [2,2,5]).
    *   `Hold`: Treat composite as indivisible unit (e.g., (20)).
    *   `To Divide`: Remove factors from the set.

### 2.3 The SPCW Transport Layer
*   **Aperiodic Carrier**: Wave structure derived from Prime Gaps ($G_n = P_{n+1} - P_n$), creating a non-uniform time domain resilient to noise.
*   **Wave Threads**: Data transmitted in "chunks" mapped to "Wave Threads".
*   **Heat Codes**: Control codes embedded in the wave for harmonization.

### 2.4 Physical Dynamics (Continuum Mechanics)
*   **Manifold as Medium**: Context treated as a continuous deformable medium.
*   **Stress ($\sigma$)**: Internal force resisting the prompt (previously "Heat").
*   **Harmonic Convergence**: Equilibrium state where Stress Gradient is zero ($\nabla \cdot \sigma = 0$).

### 2.5 Knowledge Topology
*   **Map of Science**: Atoms belong to specific **Domains** (Physics=2, Code=3, Logic=5, Vision=7, Audio=11).
*   **Path Integrity**: Trajectory of a thought is the **Product** of these primes.
    *   *Example*: Physics + Code = $2 \times 3 = 6$. Unique Factorization proves the history.

### 2.6 Gödel-Zeta Datastore (Protocol 26)
*   **Topology as Number**: Database is a field of Integers.
*   **The Check**: `if Node_ID % Concept_Prime == 0`. Instant O(1) inheritance checking.

### 2.7 mHC: Hyper-Connections
*   **Dynamic Parametrization**: Stabilize recursive loops by weighing "Residual" ($\alpha$) vs "New" ($\beta$) information.
*   **PID for Agents**: High Heat -> Increase $\alpha$ (stick to knowns). Low Heat -> Increase $\beta$ (explore).

### 2.8 Review of Current vs. Target State
*   **Target RLM**: Self-correcting loop `State[t+1] = Router(State[t] + Atom)`.
*   **Atomic Handoff**: If Heat > Threshold, assign a Tool Token (e.g., `Fu:Search`) instead of calling an LLM.

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## 3. References

*   [Periodic Table of Matroska AI Elements](./periodic_table.md)
*   [Developer Guidelines](./DEVELOPER_GUIDELINES.md)