IndisputableMonolith.NumberTheory.T1BoundaryExclusion
The T1BoundaryExclusion module asserts that a physically realizable ledger cannot approach the T1 boundary. Researchers deriving RH from RCL would cite this constraint when closing the realizability gap after UnifiedRH. The module imports the three-component T1-bounded architecture from UnifiedRH and exposes the exclusion via named certificates.
claimIf a ledger $L$ is physically realizable then $L$ does not approach the T1 boundary.
background
This module belongs to the NumberTheory domain and imports UnifiedRH. UnifiedRH replaces the former OntologicalPrimeLedger (which asserted bounded total annular cost, directly contradicting the proved not_realizedDefectAnnularCostBounded) with a structured three-component architecture for T1-bounded realizability. The module therefore operates inside the T1-Bounded Realizability Architecture that UnifiedRH defines.
proof idea
This is a module establishing the boundary exclusion; its argument is carried by the sibling declarations realizable_not_boundary_approaching and T1BoundaryExclusionCert that import the architecture from UnifiedRH.
why it matters in Recognition Science
The module supplies the T1 boundary exclusion that feeds BoundaryTransport. BoundaryTransport is described as the remaining physical bridge in the RH-from-RCL route: UnifiedRH already proves that nonzero-charge realized defect families have a concrete collapse scalar approaching zero, and the still-open content is whether that scalar transports to the T1-bounded Euler realizability scalar.
scope and limits
- Does not prove the full Riemann hypothesis.
- Does not quantify distance to the T1 boundary.
- Does not address annular cost bounds directly.
- Does not treat non-realizable ledgers.