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module module high

IndisputableMonolith.NumberTheory.BoundaryTransport

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The module certifies that realized defect collapse must transport to the Euler ledger boundary under T1-bounded conditions. Researchers deriving the Riemann hypothesis from the Recognition Composition Law would cite it as the central physical bridge. The module assembles the certificate by importing the Euler carrier realization as a T1-bounded ledger and the theorem that excludes approach to the non-existence point at x equals zero.

claimThe boundary transport certificate asserts that realized defect collapse in a T1-bounded physically realizable Euler carrier ledger transports to the ledger boundary without approaching the non-existence point $x=0$.

background

In the Recognition Science framework the Euler carrier is realized as a T1-bounded ledger in the UnifiedRH derivation. This module extracts that result into the file layout used by the RH-from-RCL derivation plan. The T1 boundary exclusion theorem states that a T1-bounded physically realizable ledger cannot approach the non-existence boundary at $x = 0$.

proof idea

This is a definition module, no proofs. It imports the Euler carrier realizability result and the T1 boundary exclusion theorem to define the certificate together with equivalences and witnesses.

why it matters in Recognition Science

This module supplies the boundary transport certificate to the RS Physical Thesis Decomposition. That parent replaces the opaque RSPhysicalThesis dependency with a structured bundle of the exact ingredients needed for the RH proof. The module thereby closes the main remaining RS physical bridge.

scope and limits

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (2)

Lean names referenced from this declaration's body.

declarations in this module (5)