Observer / CONCEPT
Entropy Derivative Equals the Modular Gap
For a positive observation scale below the defect depth, rank-one thermal entropy has derivative and full differential equal to the local modular gap.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
The local modular first law
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Analytic: Prime Marginal Entropystructural-affinity · Closed
- Analytic: Zeta Entropystructural-affinity · Closed
- Attenuatorstructural-affinity · Closed
- BeamSplitterstructural-affinity · Closed
- Binary measurement incompatibility under pure lossstructural-affinity · Closed
- Derivative cancellation and hinge majorizationstructural-affinity · Closed
- Finite-Fock beam-splitter non-extremalitystructural-affinity · Closed
- In-between states need not be optimal for a beta priorstructural-affinity · Closed
- Thermofield Marginal and Modular Spectrumstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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