What question did this study set out to answer?

To introduce and define the Architectural Limit Theorem, providing a criterion for the scalability of physical systems.

February 21, 2026Open Access

Architectural Limit Theorem

Q: What does this research mean for the field?

The Architectural Limit Theorem provides a necessary and sufficient condition for the scalability of physical systems based on condition localization behavior. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

Key Points

To introduce and define the Architectural Limit Theorem, providing a criterion for the scalability of physical systems.
Developed a theoretical framework for the Architectural Limit Theorem.
Analyzed condition localization behavior in physical systems.
Established mathematical proofs for necessary and sufficient conditions.
Identified key conditions under which physical systems can scale effectively.
Demonstrated the relevance of condition localization behavior in determining scalability.

Abstract

This work introduces the Architectural Limit Theorem, establishing a necessary and sufficient condition for scalability of physical systems based on condition localization behavior.

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