cost_finiteness_of_EBBA
plain-language theorem explainer
Under the Euler boundary bridge assumption, every defect sensor has finite annular cost. Researchers deriving the Riemann hypothesis from Recognition Science would cite this as the closing step of the direct T1 realizability argument. The proof is a one-line term application of the cost-finiteness equivalence to the unified RH theorem under the bridge hypothesis.
Claim. If the remaining ontology bridge hypothesis holds, then for every defect sensor the annular cost remains bounded.
background
The Unified RH module replaces earlier direct bounded-cost assertions with a three-component architecture. CostDivergent for a defect sensor means its annular cost exceeds any finite bound under uniform-charge sampling, growing as Theta(m squared log N) for nonzero charge m. EulerBoundaryBridgeAssumption is the remaining hypothesis that collapse of the realized defect family transports to boundary approach for the Euler realizability proxy.
proof idea
The proof is a one-line term wrapper: the right-to-left direction of the cost-finiteness equivalence applied to the unified RH theorem instantiated on the supplied bridge hypothesis.
why it matters
This theorem completes the direct T1 defect route in the ontological argument for the Riemann hypothesis. The module architecture shows that T1 forbids boundary approach for realizable ledgers, so the bridge forces finite cost and excludes nonzero-charge sensors. It touches the open question of discharging the external bridge hypothesis itself.
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