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This paper investigates the structural uniqueness of the EB Propagation Monopoly Theorem within specific cost classes.

April 28, 2026Open Access

EB Propagation Monopoly Theorem — Pre-Registration

Puntos clave

This paper investigates the structural uniqueness of the EB Propagation Monopoly Theorem within specific cost classes.
Pre-registration of the theorem on 2026-04-25 and locking on 2026-04-26.
Involves a structural uniqueness statement regarding summary carriers.
Includes a disclosure of empirical refutation and a reassessment of benchmarks.
Establishes the EB carrier as the unique admissible algebra under the defined conditions.
Strengthens previous characterizations to a clearer cost-class uniqueness.
Preserves structurally significant consequences from earlier findings.

Resumen

Pre-registration of the EB Propagation Monopoly Theorem: a structural uniqueness statement establishing that within the cost class of native-O(1) scalar-bound, symmetric-hull, enclosure-preserving summary carriers, the EB carrier (e, b) over R x R>=0 is the unique admissible algebra. Strengthens RSOS-260797 (Zenodo 10.5281/zenodo.19676236) from axiom-class characterisation to cost-class uniqueness. Includes pre-deposit disclosure of the Track A (OBA63 representation-layer benchmark) empirical refutation and the post-reframe non-conclusive reclassification, with structurally surviving Consequences 2 and 3 preserved. Pre-registered 2026-04-25; locked 2026-04-26 with verbatim signal "GATEOPEN for alll mcp, monopoly, 1197,1198 1108 l v2".

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Cite This Study

Eric D. Martin (Sun,) studied this question.

synapsesocial.com/papers/69f04edc727298f751e72bca https://doi.org/https://doi.org/10.5281/zenodo.19798461

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