# Fixed Point of Recursive Self-Improvement
**Entity class:** Theoretical AI concept
**Domain:** Artificial intelligence / Recursive self-improvement
**Maturity:** Developed
## Definition
A fixed point of recursive self-improvement is a hypothetical state at which a system can no longer produce meaningful improvements to its own architecture, tools, or research process under the resources and constraints available to it.
## Mechanism and significance
The concept separates indefinite feedback from unlimited progress: recursive improvement can accelerate while still encountering physical, mathematical, economic, or verification ceilings.
## Relationships
- **Research dossier:** [[research/ASI and RSI Timeline Research Moonshots|ASI and RSI Timeline Research Moonshots]]
- **Ontology route:** [[ASI and RSI Timeline Ontology#Scientific Intelligence and Recursive Improvement|Scientific Intelligence and Recursive Improvement]]
- **Primary fields:** [[AI for Science]] · [[Scientific Acceleration]] · [[Machine Intelligence]]
- **Adjacent concepts:** [[The Bitter Lesson]] · [[General Function Approximation]] · [[Metacognition]] · [[Simulatable Domain]]
## Sources and provenance
- [[research/ASI and RSI Timeline Research Moonshots|ASI and RSI Timeline Research Moonshots]] — immediate source for this node's role in the broadcast research map.
## Evidence boundary
The research dossier establishes why this entity or concept belongs in the Moonshots ontology. Time-sensitive organizational, product, policy, and performance claims should be checked against the linked primary source or a current authoritative source before reuse as settled fact.