IndisputableMonolith.NumberTheory.RH_Certificate
The RH_Certificate module proves every physically existing sensor has zero charge, with no hypotheses and no custom axioms. Researchers deriving the Riemann hypothesis certificate from Recognition Science data would cite it to close the physical realizability step. The argument assembles the DefectSensor framework from ZetaLedgerBridge with the T1-bounded architecture from UnifiedRH.
claimEvery sensor $s$ that physically exists satisfies charge$(s)=0$: no additional hypotheses required.
background
The module sits in the NumberTheory domain and imports two upstream modules. ZetaLedgerBridge closes the formalization gap between the abstract DefectSensor/PhysicallyExists framework and Mathlib's riemannZeta. UnifiedRH replaces the former OntologicalPrimeLedger assertion of bounded total annular cost with a structured three-component T1-bounded realizability architecture. The local theoretical setting is the unconditional physical constraint on realized sensors.
proof idea
The module collects several unconditional theorems. charge_zero_unconditional and nonzero_charge_impossible are proved directly from the imported DefectSensor and PhysicallyExists predicates without extra hypotheses. The structure is a short chain of implications from the upstream realizability architecture to the zero-charge conclusion.
why it matters in Recognition Science
This module supplies the zero-charge property required by the final assembly in RH_From_RCL. That downstream module states the only remaining nontrivial datum is BoundaryTransportCert; the present module discharges the sensor-charge component of the RS physical bridge that transports realized annular collapse to the T1-bounded Euler ledger boundary.
scope and limits
- Does not introduce custom axioms or named hypotheses.
- Does not address non-physical or abstract sensors.
- Does not derive the explicit form of BoundaryTransportCert.
- Does not complete the full Riemann hypothesis derivation.