trureturingGitHub MATHEMATICAL ATLAS

Weil / CONCEPT

Critical Damping Partition

A finite reflection-symmetric damping spectrum has equivalent diagonal, centered-exponential, and hyperbolic-cosine partition traces, with a nonnegative defect that vanishes precisely on the critical line.

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THEOREM

The centered damping partition has a nonnegative critical defect

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Critical Damping FlatnessCritical Damping FlatnessCritical Damping PartitionCritical Damping Partition
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Weil
Node ID
D5/S3/Weil/ZetaLinear/CriticalDampingPartition
Repository path
D5/S3/Weil/ZetaLinear/CriticalDampingPartition.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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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.