Analytic / CONCEPT
Atomic prefixes, shifted hinges and exponential energy
Zero-mass finite complex atoms have an exact shifted hinge representation, an integrable prefix correlation, and a quantitative exponential energy bound.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES5
PROOF DEPTH0
DOCUMENT LINKS0
The exact shifted hinge identity and energy estimate
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
- Actual arithmetic remainder and atomic prefix energytruth-dependency · Closed
- Exact causal primitive calculustruth-dependency · Closed
- Regularity of the original correlation and spectral testtruth-dependency · Closed
- The actual finite-atom Fourier density is finitetruth-dependency · Closed
- Uniform finite-moment cancellation of prefix correlationstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Actual arithmetic remainder and atomic prefix energystructural-affinity · Closed
- Exact causal primitive calculusstructural-affinity · Closed
- Finite Legendre Primitive Energy Gapstructural-affinity · Closed
- Local strict positivity of the actual prime kernelstructural-affinity · Closed
- Moment Orthogonal Complex L2 Primitive Gapstructural-affinity · Closed
- Original full-kernel certificate sourcestructural-affinity · Closed
- Regularity of the original correlation and spectral teststructural-affinity · Closed
- The actual finite-atom Fourier density is finitestructural-affinity · Closed
- The genuine spectral endpoint closes the original J identitystructural-affinity · Closed
- Uniform finite-moment cancellation of prefix correlationsstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance