Zeros / CONCEPT
Pure Shift and the Euler-Sieve Vacuum
Nontrivial arithmetic translations are pure isometries, while simultaneous Euler sieving by all prime addresses leaves exactly the vacuum line.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH11
DOCUMENT LINKS1
Nontrivial arithmetic shifts have no unitary tail
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Backward Shift Adjointstructural-affinity · Closed
- Backward Shift Coisometrystructural-affinity · Closed
- Backward Shift Operatorstructural-affinity · Closed
- Coprime Double Commutationstructural-affinity · Closed
- Multiplicative Address Shifts and Labeled Zetastructural-affinity · Closed
- Quasi-Lattice Order and Nica Covariancestructural-affinity · Closed
- Semigroup Relations and Nica Covariancestructural-affinity · Closed
- Shift Range Projectionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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