D3 · structural · [A/S/I]

Coordinate space

Three independent spatial coordinates. D3 is coordinate space, locally ℝ³: x, y and z vary independently before declared constraints. A projection or planar slice recovers D2. Quantum-state, configuration-space and phase-space dimensions remain separately declared.

Inherited structure

Three-coordinate spatial geometry is inherited mathematics [A]; assigning it the primary D3 role is the owner’s definition [S/I].

Claim boundary

A constrained sphere surface has two local freedoms; an open ball has three. Three displayed components, probabilities or state labels do not establish three independent spatial coordinates. Physical emergence of space remains separately conjectural.

D3 · Coordinate space

D3 is coordinate space, locally ℝ³: x, y and z vary independently before declared constraints. A projection or planar slice recovers D2. Quantum-state, configuration-space and phase-space dimensions remain separately declared.

This illustration carries no evidence beyond the typed text above.

Semantic owner: 05_COSMOLOGY/03_FORMAL_SYSTEM/44_D3_QUANTUM_STATE_REGISTER.md

μ3 · coordinate contract; physical emergence open

Verdict source: September 29 owner correction; the pre-recut μ₃ verdict (48: "μ₂ and μ₃ still fail") now belongs to the representational sequence's state/record crossing (KSC-34); the state-to-record interface remains the native quantum application's Q_record_interface.

Temporal-coordinate opening

Saturation proposal: One spatial configuration does not locate events at different times.
New capability: D4 adds temporal location to spatial location, with separately declared metric, dynamics, causal geometry and actual-history evidence.
Lower-level recovery: A declared spacelike slice supplies three-coordinate spatial geometry; one slice does not recover an entire history.
Evidence: [A/S] coordinate contract; [B-source] attributed 3+1 spacetime; [I/C] physical emergence of time
Prediction: Events at the same spatial location can be distinguished by temporal coordinate within the declared model.
Alternatives: Native relativity and dynamical models describe spacetime without this emergence ordering.
Kill criterion: Externally supplied time is called derived, four labels are mistaken for independent coordinates, or coordinates alone are claimed to certify an actual history.

Source owner: 05_COSMOLOGY/03_FORMAL_SYSTEM/34_D4_D5_CANONICAL_REFERENCE.md

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