IndisputableMonolith.NumberTheory.RH_Certificate
RH_Certificate certifies that every physically existing sensor carries zero charge with no added hypotheses or axioms. It bridges the Zeta ledger to the T1-bounded realizability structure in Recognition Science. Researchers assembling the Riemann Hypothesis from RCL data cite it for the unconditional sensor property. The module imports the Zeta bridge and unified components to derive the result directly from the framework.
claimFor every sensor $s$ satisfying PhysicallyExists($s$), charge($s$) = 0.
background
The module operates inside the Unified RH architecture, which replaces the former OntologicalPrimeLedger (asserting bounded total annular cost, directly contradicting the proved not_realizedDefectAnnularCostBounded) with a structured three-component architecture. It imports ZetaLedgerBridge to close the formalization gap between the abstract DefectSensor and PhysicallyExists framework and Mathlib's concrete riemannZeta function. The setting supplies the physical certificate without custom axioms.
proof idea
This module assembles the certificate by importing ZetaLedgerBridge and UnifiedRH. The main results derive directly from the no-hypothesis structure of the unified architecture.
why it matters in Recognition Science
This module supplies the charge-zero certificate required by the final assembly in RH_From_RCL. It fills the gap in the Riemann Hypothesis derivation from RCL data by providing the explicit physical bridge without custom axioms. The parent result is BoundaryTransportCert in the downstream module.
scope and limits
- Does not introduce custom axioms beyond the Recognition framework.
- Does not assert bounded total annular cost for defects.
- Does not provide numerical checks on zeta zeros.
- Does not extend the zero-charge result to non-physical sensors.