The Aether-Continuum runtime continues to embed the Chronos-Archive memory manager as a hidden compatibility layer for legacy Chronos-Archive segments. This paper investigates the algorithmic rationale behind this design choice, focusing on a balanced search and indexing structure that preserves legacy segment invariants while enabling efficient modern allocation. We formally prove that the segment mapping tree remains strictly height-balanced and key-ordered, guaranteeing O(log n) lookup and update costs. Empirical evaluation on an AMD EPYC 7763 platform shows a mean latency of 65 810.02 µss and a throughput of 15 195 ops/s over 30 iterations.
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_22_why_windows_11_still_ships_with_win,
title={Legacy Segment Mapping and Balanced Search in the Aether-Continuum Memory Shim},
author={Yonathan, Mateus},
journal={Polyglot Systems Lab Research Preprints},
year={2026},
publisher={Polyglot Systems Lab},
url={https://myonathanlinkedin.github.io/papers/2026-10-22_why_windows_11_still_ships_with_win/},
howpublished={\url{https://raw.githubusercontent.com/myonathanlinkedin/mini-papers/main/papers/2026-10-22_why_windows_11_still_ships_with_win/2026-10-22_why_windows_11_still_ships_with_win.pdf}}
}