ZUSE Automat Agent: Empirical Law Discovery in Elementary Cellular Automata

Version v1.2 adds Section 7.6: a periodic-background oscillator sweep over all256 ECA rules and 15 non-zero periodic backgrounds (1,927,680 runs). Keyfindings: 30 stationary oscillator rules and 36 moving oscillator rules undernon-zero backgrounds, including period-4 oscillators and speed-0.5 gliders notpresent under quiescent zero background. rule_108 persists under all-onebackground with the same motif. The zero-background uniqueness claims from v1.1remain valid and unchanged. We present ZUSE Automat Agent (ZUSE), a deterministic, policy-driven discoveryloop for elementary cellular automata (ECA) that builds an empirical atlas ofcycle laws, world families, and basin fragility without a language model in thediscovery loop. The pipeline combines a fixed seven-law evaluator, adedup-gated observer stack, and persistent multi-seed world records, and isapplied to a 20-world sample spanning ECA rules, Conway's Game of Lifepatterns, and synthetic controls. Every result is reproducible from deterministic scripts with no stochasticcomponents in the discovery loop.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-17
DOI
https://doi.org/10.5281/zenodo.20738024
Primary Topic
Cellular Automata and Applications
Type
preprint
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preprint

ZUSE Automat Agent: Empirical Law Discovery in Elementary Cellular Automata

Miguel Angel Concha Estrada
Zenodo (CERN European Organization for Nuclear Research)
Cellular Automata and Applications
preprint

ZUSE Automat Agent: Empirical Law Discovery in Elementary Cellular Automata

Miguel Angel Concha Estrada
preprint en

Abstract

Version v1.2 adds Section 7.6: a periodic-background oscillator sweep over all256 ECA rules and 15 non-zero periodic backgrounds (1,927,680 runs). Keyfindings: 30 stationary oscillator rules and 36 moving oscillator rules undernon-zero backgrounds, including period-4 oscillators and speed-0.5 gliders notpresent under quiescent zero background. rule_108 persists under all-onebackground with the same motif. The zero-background uniqueness claims from v1.1remain valid and unchanged. We present ZUSE Automat Agent (ZUSE), a deterministic, policy-driven discoveryloop for elementary cellular automata (ECA) that builds an empirical atlas ofcycle laws, world families, and basin fragility without a language model in thediscovery loop. The pipeline combines a fixed seven-law evaluator, adedup-gated observer stack, and persistent multi-seed world records, and isapplied to a 20-world sample spanning ECA rules, Conway's Game of Lifepatterns, and synthetic controls. Every result is reproducible from deterministic scripts with no stochasticcomponents in the discovery loop.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Cellular Automata and Applications
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