trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Exact Common-Spectrum Floor

The largest common normalized-Haar component of a rational feature Gram matrix is the least eigenvalue in either whitened coordinate system.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH8
DOCUMENT LINKS1
THEOREM

The exact floor is the common least eigenvalue

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Common-Spectrum Master FeasibilityCommon-Spectrum MasterFeasibilityRational-Toeplitz CollapseRational-Toeplitz CollapseExact Truncated Haar FloorExact Truncated Haar FloorExact Common-Spectrum FloorExact Common-Spectrum Floor
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Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
8
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/BlockStructure/ExactCommonSpectrumFloor
Repository path
D5/S3/Observer/BlockStructure/ExactCommonSpectrumFloor.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.