What Are Some Feasible Summer Research Topics in Physics?

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The discussion centers on a summer physics fellowship at the University of Toronto that allows undergraduates to propose research topics. The participant seeks feasible and intriguing project ideas that can be completed within six weeks. Despite being a first-year student with an average physics mark, they possess a solid understanding of advanced concepts in quantum mechanics and general relativity. They express interest in potentially combining their research with a professor's work on dark matter and general relativity. It is noted that projects typically involve teamwork and are supervised by faculty, suggesting that students should collaborate with professors to identify suitable projects. The emphasis is on selecting straightforward topics due to the limited timeframe for completion.
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I have recently become aware of a summer physics fellowship offered to undergraduates at the University of Toronto, in which students may propose a topic and receive money to research it. Unfortunately, while there are numerous interesting projects I can think of, I am not sure if they would be acceptable. Specifically, I am looking for something which is highly fascinating, but would likely get me the fellowship. We are constrained to projects which may be completed in six weeks.

In essence, then, I am looking for some interesting, feasible research topics for the summer.

I am in first year, but this is an irrelevant concern with regard to the complexity the topic.
While my mark in physics was not outstanding (80%, mostly due to missed assignments/procedure disputers), I nonetheless have a thorough grasp of the conceptual
and mathematical aspects of modern physical knowledge. As an example, I am quite comfortable working with the Dirac/Schrodinger/Heisenberg/Path Integral formalisms of Quantum Mechanics, and am adept with differential geometry and General Relativity.

Finally, (though this is not final) I may be able to procure a research position with a professor at the University, whose research focuses on Dark Matter and General Relativity. Is there any way to combine the two?

Here is a link to the fellowship page:
http://www.physics.utoronto.ca/students/undergraduate-program/surf
 
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Did you catch this sentence? "Projects are generally team work on upper level lab development, supervised by Physics faculty members."
 
Usually the way these things work is that you approach a professor, tell him or her that you want to apply for said funding and ask if they have any projects that might fit in. Six weeks is not a lot of time to accomplish something, so it's best to work on something fairly straight forward. If you have your own idea, that's great. Most first-year undergrad students won't.
 
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