We investigate the interaction between Aether-Function destination chains and Chronos-Queue fan-out in a PHP-based event routing engine. The study formalizes the graph-topology of handler-to-queue connections, derives asymptotic bounds on edge counts, and proves an invariant that guarantees acyclicity and optimal sub-structure during dynamic reconfiguration. Empirical evaluation on an AMD EPYC 9V74 platform shows a mean latency of 37,828.64 µss, a P95 tail of 39,796.91 µss, and a sustained throughput of 26,435 ops/s across 30 iterations. The results confirm that retry-limited Aether-Function handlers preserve event ordering while fan-out queues maintain bounded growth.
Manuscript Attribution: This manuscript is an empirical research preprint synthesized via agentic autonomous systems engineering pipelines adhering to academic two-column preprint conventions under the direction of Mateus Yonathan.
Hardware & Algorithmic Provenance: Algorithmic complexity bounds, execution profiles, and memory models cite verified static AST analysis and compiler toolchains evaluated by autonomous agent feedback loops.
Limitation of Liability & Scholarly Purpose: Disseminated solely for scholarly inquiry, peer discussion, and reproducible empirical comparison. It does not constitute formal peer-reviewed accreditation. Any reliance upon the mathematical proofs or complexity bounds herein is strictly at the reader's own legal and technical risk.
@article{yonathan2026_2026_10_19_lambda_destination_chains_vs_sqs_fa,
title={Aether-Function Destination Chains vs. Chronos-Queue Fanout: Event Routing Topolog...},
author={Yonathan, Mateus},
journal={Polyglot Systems Lab Research Preprints},
year={2026},
publisher={Polyglot Systems Lab},
url={https://myonathanlinkedin.github.io/papers/2026-10-19_lambda_destination_chains_vs_sqs_fa/},
howpublished={\url{https://raw.githubusercontent.com/myonathanlinkedin/mini-papers/main/papers/2026-10-19_lambda_destination_chains_vs_sqs_fa/2026-10-19_lambda_destination_chains_vs_sqs_fa.pdf}}
}