trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Discounted Observability Energy Identity

The discounted observability Gramian quadratic form equals total discounted readout energy.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The Gramian quadratic form is total discounted readout energy

RELATIONSHIP ATLAS

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Direct recorded relationships
Discounted Observability Gramian PositivityDiscounted ObservabilityGramian PositivityDiscounted Observability Energy IdentityDiscounted Observability EnergyIdentity
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Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

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None recorded in this release.

RELATED KNOWLEDGE

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LIBRARY / RELEASE VERSIONS

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Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/Linear/DiscountedObservabilityEnergyIdentity
Repository path
D5/S3/Observer/Linear/DiscountedObservabilityEnergyIdentity.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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.