Here’s a comprehensive list of all **nodes** (fundamental entities) and their **key-value properties** as extracted and defined in the string graph network. Each node is annotated with its assigned properties, including definitions, categories, and relationships. --- # **Node Key-Value Properties** Each node follows the schema: - **`ID`**: Unique identifier (e.g., `QM-001`). - **`Entity`**: Name of the entity. - **`Definition`**: Formal description. - **`Category`**: Theory, equation, principle, etc. - **`Properties`**: Domain-specific attributes. - **`Implicit Assumptions`**: Unstated premises. - **`Relationships`**: Edges to other nodes (type, rationale, confidence). --- ## **1. Quantum Mechanics (QM) Nodes** | **ID** | **Entity** | **Definition** | **Category** | **Properties** | **Implicit Assumptions** | |------------|-----------------------|-------------------------------------------------------------------------------|--------------|-----------------------------------------|--------------------------------| | `QM-001` | Schrödinger Equation | \(i\hbar \frac{\partial}{\partial t} \psi = \hat{H} \psi \). Governs quantum state evolution. | Equation | Linear, deterministic, wavefunction-based. | Superposition principle. | | `QM-002` | Born Rule | Links wavefunction to probabilities: \(P(x) = \|\psi(x)\|^2 \). | Principle | Probabilistic, non-local. | Measurement collapses states. | ## **2. General Relativity (GR) Nodes** | **ID** | **Entity** | **Definition** | **Category** | **Properties** | **Implicit Assumptions** | |------------|--------------------------|-------------------------------------------------------------------------------|--------------|-----------------------------------------|--------------------------------| | `GR-001` | Einstein Field Equations | \(G_{\mu\nu} = 8\pi G T_{\mu\nu} \). Spacetime curvature ↔ matter/energy. | Equation | Non-linear, geometric. | Locality, determinism. | ## **3. Information Theory (IT) Nodes** | **ID** | **Entity** | **Definition** | **Category** | **Properties** | **Implicit Assumptions** | |------------|---------------------|-------------------------------------------------------------------------------|--------------|-----------------------------------------|--------------------------------| | `IT-001` | Shannon Entropy | \(H(X) = -\sum p(x) \log p(x) \). Quantifies information uncertainty. | Principle | Probabilistic, universal. | Information is physical. | | `IT-002` | Landauer’s Principle| Erasing 1 bit requires \(kT \ln 2 \) energy. Links computation to physics. | Principle | Thermodynamic limit. | Reversibility constraints. | ## **4. Computation (Comp) Nodes** | **ID** | **Entity** | **Definition** | **Category** | **Properties** | **Implicit Assumptions** | |------------|-------------------|-------------------------------------------------------------------------------|--------------|-----------------------------------------|--------------------------------| | `Comp-001` | Turing Machine | Abstract model of computation (tape, head, states). | Concept | Universal, discrete. | Church-Turing thesis. | | `Comp-002` | Quantum Computer | Computes via qubits (superposition + entanglement). | Theory | Non-classical speedup. | Qubits decohere. | ## **5. Philosophy of Science (PoS) Nodes** | **ID** | **Entity** | **Definition** | **Category** | **Properties** | **Implicit Assumptions** | |------------|---------------|-------------------------------------------------------------------------------|--------------|-----------------------------------------|--------------------------------| | `PoS-001` | Occam’s Razor | “Simpler explanations are preferable.” | Principle | Methodological, heuristic. | Simplicity ≈ truthlikeness. | --- # **Edge Key-Value Properties** Each edge includes: - **`Source`** → **`Target`**: Connected nodes. - **`Type`**: Relationship category (logical, causal, etc.). - **`Rationale`**: Justification for the link. - **`Confidence`**: Strength of evidence (1–5 scale). ## **High-Confidence Edges (≥4)** | **Source** | **Target** | **Type** | **Rationale** | **Confidence** | |--------------|--------------|-------------------|----------------------------------------------------|----------------| | `QM-001` | `IT-001` | Mathematical | Both use probability amplitudes. | 4 | | `GR-001` | `QM-001` | Conflict | Determinism (GR) vs. indeterminism (QM). | 5 | | `IT-001` | `Comp-001` | Logical | Entropy bounds computation (Landauer’s principle). | 4 | ## **Low-Confidence Edges (≤3)** | **Source** | **Target** | **Type** | **Rationale** | **Confidence** | |--------------|--------------|-------------------|----------------------------------------------------|----------------| | `Comp-001` | `QM-001` | Causal | “Universe as simulation” hypothesis. | 2 | | `PoS-001` | `GR-001` | Explanatory | Occam’s Razor applied to spacetime axioms. | 3 | --- # **Special Nodes** - **`IUH` (Informational Universe Hypothesis)**: - **Definition**: Meta-framework proposing information as fundamental. - **Edges**: - `IT-001` → `IUH` (core evidence). - `QM-001` → `IUH` (quantum information). - `Comp-001` → `IUH` (computational basis). - **`QG-001` (Quantum Gravity)**: - **Hypothesized Node**: Proposed to resolve `GR-001`/`QM-001` conflict. - **Edges**: - `GR-001` → `QG-001` (geometric limit). - `QM-001` → `QG-001` (quantum limit). --- # **Summary Of Key Values** 1. **Node Properties**: - **`ID`**: Unique identifier (e.g., `QM-001`). - **`Definition`**: Canonical description from authoritative sources. - **`Category`**: Theory, equation, principle, etc. - **`Implicit Assumptions`**: Critical for conflict detection (e.g., QM’s non-locality). 2. **Edge Properties**: - **`Type`**: Relationship semantics (e.g., “mathematical isomorphism”). - **`Confidence`**: Empirical/logical strength (5 = strongest). 3. **Meta-Nodes**: - `IUH` and `QG-001` are synthetic nodes derived from graph analysis. --- # **Example Node in JSON-LD Format** ```json { "@id": "QM-001", "name": "Schrödinger Equation", "definition": "iħ ∂ψ/∂t = Ĥψ", "category": "Equation", "properties": ["linear", "wavefunction-based"], "implicit_assumptions": ["superposition"], "relationships": [ { "target": "IT-001", "type": "Mathematical", "rationale": "Both use probability amplitudes.", "confidence": 4 } ] } ``` **Key Takeaway**: The node-edge structure reveals: - **Information (`IT-001`)** as the central unifier. - **Conflicts** requiring synthesis (e.g., quantum gravity). - **IUH** as the most parsimonious meta-framework. Let me know if you’d like further decomposition of any node/edge!