Inherited structure
Function theory, topology, geometry, and coordinate charts are inherited mathematics [A].
D2 · formal · [A/S/I]
Configuration
Functions, relations, graphs, and geometry. D2 owns configuration: inputs and outputs related across a domain, graphs and atlases, and geometric organization. A finite atlas illustrates a family; it is never all mathematical functions at once.
Claim boundary
A picture may reveal structure hidden on a line, but visualization alone proves neither a new ontology nor strong emergence.
Semantic owner: 05_COSMOLOGY/03_FORMAL_SYSTEM/43_D2_FUNCTION_ATLAS_AND_CONFIGURATION.md
μ2 · FAILED — reducibility
Verdict source: 48: "μ₂ and μ₃ still fail, on the arguments that actually carried them"
State-assignment aperture
- Saturation proposal
- Classical configuration alone does not encode the full probability assignments associated with incompatible quantum measurement contexts.
- New capability
- Hilbert-space states, density operators, POVMs, and Born probability assignments become available.
- Lower-level recovery
- Quantum states must reproduce the declared measurement probabilities and classical limits where those limits apply.
- Evidence
- [A/S] formal lift; ontic-emergence reading [C]
- Prediction
- The D3 representation must distinguish states that agree on one context but differ on another.
- Alternatives
- The lift may be a reducible formal representation rather than a new degree of reality.
- Kill criterion
- If classical configuration suffices for all relevant probability assignments, or the D3 formalism adds no discriminating predictions, the emergence reading fails.
Source owner: 05_COSMOLOGY/03_FORMAL_SYSTEM/44_D3_QUANTUM_STATE_REGISTER.md