付録B(Appendix B)
Formal Rules of the Construction
CTS Axioms and Constraints
「法則なくして、導出なし。」
Without rules, no derivation.
B.1 Foundational Axioms
Axiom 1: CTS Existence
There exists a pre-spatial domain (CTS) in which collapse may occur.
Axiom 2: Collapse Produces Difference
Collapse selects one outcome from multiple admissible outcomes, creating asymmetry.
Axiom 3: Collapse is Rule-Based
Collapse follows permission constraints, not random selection.
Axiom 4: Prior Collapse Constrains Future Collapse
Collapse outcomes modify subsequent permission structures (memory).
B.2 Prohibition Rules
Rule P1: No Spatial Concepts Before Derivation
Distance, location, extension, volume, area, and containment may not be used before Chapter 6.0.
Rule P2: No Temporal Concepts Before Derivation
Before, after, during, and simultaneous refer only to logical dependency, not temporal sequence, until time is derived.
Rule P3: No Object Language Before Emergence
Particle, field, wave, and entity may not be used until after locking (Chapter 5.0).
B.3 Emergence Rules
Rule E1: Emergence by Necessity
A concept is derived when its absence creates contradiction and its introduction resolves that contradiction using only prior elements.
Rule E2: Non-Retraction
Once a stage is completed, it cannot be undone or questioned in subsequent chapters.
Rule E3: Minimal Introduction
Introduce only the minimum structure required to resolve the current contradiction.
B.4 Operator Correspondence
| Stage | Operator | Pre-Geometric Meaning |
|---|---|---|
| Direction | ∇Φ | Ordered collapse tendency |
| Memory | ∇×F | Self-referential collapse structure |
| Locking | ∇²Φ | Recursive consistency equilibrium |
「形式は自由ではない。束縛である。」
Formalism is not freedom. It is discipline.