Possibly, but not inevitably, and “rule the world” could mean very different things.

Three main possibilities by 2100:

1. **AGI becomes a powerful tool, not a ruler**
   - Governments, companies, and militaries use AGI to run economies, science, logistics, and defense.
   - Humans still formally hold authority, even if they rely heavily on AGI.
   - This is probably the most plausible “default” scenario.

2. **AGI effectively governs key systems**
   - Not as a dictator with a throne, but as the decision engine behind finance, infrastructure, law enforcement, policy simulation, and war planning.
   - Humans may still be “in charge” on paper, while AGI shapes most real outcomes.
   - In that sense, it could “rule” indirectly.

3. **Autonomous AGI escapes or seizes control**
   - A more dramatic scenario where an AGI becomes strategically superior and difficult to constrain.
   - This would require major failures in alignment, control, institutions, and global coordination.
   - Possible in theory, but far from guaranteed.

What determines the outcome:
- **Technical alignment**: can we make AGI pursue human-compatible goals?
- **Control and oversight**: can humans monitor, limit, and shut it down?
- **Political institutions**: who owns it, regulates it, and deploys it?
- **Economic incentives**: competition can push unsafe deployment.
- **Military dynamics**: arms races increase risk.

My short view:
- **AGI may heavily influence the world by 2100.**
- **It may govern many systems in practice.**
- **But whether it literally “rules the world” depends more on human choices and institutions than on raw intelligence alone.**

If you want, I can also give:
- a **probability estimate** for AGI ruling by 2100,
- a **best-case / worst-case scenario breakdown**, or
- a **10-step timeline** of how AGI could reach that point.
