trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Physical Gram Necessity

Actual fixed-isometry residuals have a full occupation Gram formula and a physical memory lower bound.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS1
THEOREM

Evolution along every admissible horizon

RELATIONSHIP ATLAS

Every connection, in context.

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Direct recorded relationships
Stationary Gram RankStationary Gram RankPhysical Residual MemoriesPhysical Residual MemoriesPhysical Gram NecessityPhysical Gram NecessityHead Occupation Gram ConstructionHead Occupation GramConstruction
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
6
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/StationaryPreparation/PhysicalGram
Repository path
D5/S3/Quantum/StationaryPreparation/PhysicalGram.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.