A Structural Extension of the Collapse-Sequence Model for Fast Radio Bursts

A Structural Extension of the Collapse‑Sequence Model for Fast Radio Bursts develops the quantitative framework implied by the original collapse‑sequence architecture. The paper converts the conceptual model into a testable structure by defining numerical constraints, functional relationships, and falsifiable predictions that follow directly from the geometry of the internal state space and the monotonic reload operator.The extension introduces five predictions that characterize FRB timing behavior: duration–interval correlation, heavy‑tailed waiting‑time statistics, apparent non‑repetition as a sampling effect, transitions between activity states, and universality across host environments. Each prediction is expressed as a structural consequence of the collapse sequence and includes explicit falsification criteria.The result is a minimal, self‑contained framework that preserves the original architecture while specifying the operational range of the model. The paper provides a clear path for empirical evaluation as repeater catalogs expand and offers a structurally complete set of constraints for assessing the collapse‑sequence mechanism.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-28
DOI
https://doi.org/10.5281/zenodo.18407865
Primary Topic
Distributed systems and fault tolerance
Type
article
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article

A Structural Extension of the Collapse-Sequence Model for Fast Radio Bursts

Brian Rieckmann
Zenodo (CERN European Organization for Nuclear Research)
Distributed systems and fault tolerance
article

A Structural Extension of the Collapse-Sequence Model for Fast Radio Bursts

Brian Rieckmann
article en

Abstract

A Structural Extension of the Collapse‑Sequence Model for Fast Radio Bursts develops the quantitative framework implied by the original collapse‑sequence architecture. The paper converts the conceptual model into a testable structure by defining numerical constraints, functional relationships, and falsifiable predictions that follow directly from the geometry of the internal state space and the monotonic reload operator.The extension introduces five predictions that characterize FRB timing behavior: duration–interval correlation, heavy‑tailed waiting‑time statistics, apparent non‑repetition as a sampling effect, transitions between activity states, and universality across host environments. Each prediction is expressed as a structural consequence of the collapse sequence and includes explicit falsification criteria.The result is a minimal, self‑contained framework that preserves the original architecture while specifying the operational range of the model. The paper provides a clear path for empirical evaluation as repeater catalogs expand and offers a structurally complete set of constraints for assessing the collapse‑sequence mechanism.

Zenodo (CERN European Organization for Nuclear Research)
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Distributed systems and fault tolerance
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