付録C（Appendix C）
Comparison Table
Classical Space vs. Collapse-Derived Space
「同じ言葉、違う意味。」
Same words, different meanings.
C.1 Foundational Comparison
| Aspect | Classical View | Collapse-Derived View |
|---|
| Space Status | Fundamental / Given | Emergent / Derived |
| Starting Point | Space exists | CTS permits difference |
| Justification | Intuition / Axiom | Necessity / Contradiction |
| Alternative | Not considered | Impossible (forced emergence) |
C.2 Structural Comparison
| Concept | Classical View | Collapse-Derived View |
|---|
| Location | Primitive / Given | Stabilized separation label |
| Distance | Metric / Defined | Remembered separation cost |
| Dimension | Axiom (n=3) | Emergent from coexistence modes |
| Continuity | Assumed | High-resolution locking limit |
| Boundary | Geometric surface | Pattern influence limit |
C.3 Operator Comparison
| Operator | Classical Meaning | Pre-Geometric Meaning |
|---|
| ∇Φ | Spatial gradient | Collapse ordering tendency |
| ∇×F | Curl / Rotation | Self-referential structure |
| ∇²Φ | Laplacian / Diffusion | Recursive consistency |
C.4 Physics Comparison
| Feature | Classical View | Collapse-Derived View |
|---|
| Gravity | Curvature of spacetime | Gradient in collapse permission density |
| Mass | Property of objects | Concentrated recursive locking |
| Vacuum | Empty space | Minimum locking density |
| Field | Quantity at each point | Pattern of collapse permissions |
C.5 What Changes
| Question | Classical Answer | Collapse-Derived Answer |
|---|
| Why 3 dimensions? | Observation / Axiom | Necessary for full coexistence |
| Why is space smooth? | Assumed continuous | Dense locking approximation |
| What is space made of? | Nothing / Undefined | Resolved coexistence capacity |
| Can space be different? | Unknown | No (construction is unique) |
「比較は対立ではない。明確化である。」
Comparison is not opposition. It is clarification.
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Intent-Tensor-Theory 