As of now, it's difficult to accurately predict if Artificial General Intelligence (AGI) will "rule the world" by 2100 because the development of AGI raises complex technical, ethical, and regulatory challenges.

1. **Definition and Scope**: AGI refers to a type of artificial intelligence that is as capable as a human being in all cognitive tasks. Unlike narrow AI, which excels only in specific activities such as playing chess or recognizing images, AGI can theoretically perform any intellectual task that a human can.

2. **Technical Challenges**: Achieving AGI involves not only vast improvements in current technologies but also potentially breakthroughs in new areas of artificial intelligence. These include developing better models of human cognition, improving machine learning techniques, and creating robust and scalable hardware solutions.

3. **Ethical and Safety Concerns**: As we approach the possibility of creating AGI, there will be increasing focus on the ethical implications. This includes concerns about privacy, autonomy, decision-making, and the potential for unemployment due to automation. Ensuring that AGI systems are safe and that their goals align with human values is a major area of research in AI safety.

4. **Regulatory Environment**: The development and deployment of AGI are likely to be heavily regulated by governments worldwide. These regulations could slow down or redirect the course of AGI development. Legislation might focus on ensuring transparency, security, fairness, and accountability in AI systems.

5. **Global Impact and Control**: Even if AGI is developed, whether it will "rule the world" is a contentious issue. It suggests a scenario where AGI systems gain significant control over human activities, which many experts and ethicists are actively working to prevent. The future likely involves AGI being used as a tool or partner to enhance human capabilities rather than replacing or ruling over them.

6. **Economic and Social Integration**: Integration of AGI into society would depend on its acceptance across different sectors—economic, social, and cultural—which varies significantly across regions. 

In summary, while AGI could become a transformative technology by 2100, many factors will influence its development and integration into society. The idea of AGI "ruling the world" is a speculative and sensationalized outlook, and the focus of current AI research is more on beneficial and controlled integration rather than dominance.
