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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