付録D（Appendix D）
Symbol Index
Mathematical Notation by Emergence Stage
「記号は意味を運ぶ。意味は段階に縛られる。」
Symbols carry meaning. Meaning is bound to stage.
D.1 Stage 1: CTS (Chapter 1.0)
| Symbol | Name | Meaning |
|---|---|---|
| CTS | Collapse Tension Substrate | Pre-spatial permission domain |
| P | Permission | Logical admissibility of collapse |
| C | Collapse | Selection of one resolution from many |
| τ | Tension | Coexistence of incompatible permissions |
D.2 Stage 2: Difference (Chapter 2.0)
| Symbol | Name | Meaning |
|---|---|---|
| Δ | Difference | Non-equivalence of outcomes |
| A | Asymmetry | Operational distinguishability |
| ≠ | Distinction | Two outcomes are not the same |
D.3 Stage 3: Direction (Chapter 3.0)
| Symbol | Name | Meaning |
|---|---|---|
| → | Order | Logical dependency sequence |
| ∇Φ | Intent Gradient | Collapse ordering tendency (NOT spatial) |
| d | Direction | Consistent ordering across collapses |
D.4 Stage 4: Memory (Chapter 4.0)
| Symbol | Name | Meaning |
|---|---|---|
| M | Memory | Prior outcomes influencing future permissions |
| ∇×F | Curl / Self-Reference | Recursive collapse structure (NOT rotation) |
| ↺ | Return | Later states referencing earlier states |
D.5 Stage 5: Locking (Chapter 5.0)
| Symbol | Name | Meaning |
|---|---|---|
| L | Locking | Self-reinforcing recursive alignment |
| ∇²Φ | Laplacian / Consistency | Recursive equilibrium measure (NOT diffusion) |
| S | Shell | Stabilized region of locked recursion |
| ∂S | Boundary | Pattern influence limit (NOT surface) |
D.6 Stage 6: Space (Chapter 6.0)
| Symbol | Name | Meaning |
|---|---|---|
| X | Space | Capacity for coexistence without exclusion |
| d(a,b) | Distance | Remembered separation cost |
| g μν | Metric | Record of recursive differentiation |
| x i | Coordinates | Labels for stabilized separations |
D.7 Usage Warning
⚠️ Spatial interpretation of operators is forbidden before Chapter 6.0
- ∇Φ is NOT a spatial gradient until Stage 6
- ∇×F is NOT rotation until Stage 6
- ∇²Φ is NOT diffusion until Stage 6
Pre-geometric interpretations must be strictly maintained.
「記号を守れ。意味が守られる。」
Guard the symbols. The meaning will be preserved.