Quantum / CONCEPT
Purity Pythagoras Decomposition
Pairwise orthogonal basis measurements split density-matrix purity excess into visible probability energy and orthogonal residual mass.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS1
Purity excess splits into visible and residual mass
RELATIONSHIP ATLAS
Every connection, in context.
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Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Basis-Measurement Projectionstructural-affinity · Closed
- Bipartite Hermitian Sector Decompositionstructural-affinity · Closed
- Complete Context Collision Conservationstructural-affinity · Closed
- Complete Context Purity Identitiesstructural-affinity · Closed
- Complete Context Tomographystructural-affinity · Closed
- Finite Zeta Thermal States Are Fixed by Basis Pinchingstructural-affinity · Closed
- Finite-Time Observer Monotonicitystructural-affinity · Closed
- Joint Observer Visible Space and Residualstructural-affinity · Closed
- Local B Readout Residual Dimensionstructural-affinity · Closed
- Von Neumann Entropy Under Basis Pinchingstructural-affinity · Closed
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