trureturingGitHub MATHEMATICAL ATLAS

ObserverMemory / CONCEPT

Finite Crystal Time-Frequency Bridge

Distinct finite crystal modes are exactly reconstructible from an equally long scalar time window.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES6
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

Separated modes are recovered from time samples

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Finite Vandermonde TomographyFinite Vandermonde TomographyFinite Crystal Time-Frequency BridgeFinite Crystal Time-FrequencyBridgeFinite Positive-Rational Golden TomographyFinite Positive-Rational GoldenTomographyDegenerate-Mode Hidden FiberDegenerate-Mode Hidden FiberTemporal Fiber Observer UpgradeTemporal Fiber Observer UpgradeTemporal Reflection-Break VisibilityTemporal Reflection-BreakVisibilityTime-Shift Spectral Fiber TransportTime-Shift Spectral FiberTransportEuler Data to Arithmetic Prony NodesEuler Data to Arithmetic PronyNodes
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
ObserverMemory
Node ID
D5/S3/ObserverMemory/FourierFibers/FiniteCrystalTimeFrequencyBridge
Repository path
D5/S3/ObserverMemory/FourierFibers/FiniteCrystalTimeFrequencyBridge.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.