Maths EPQ- Fourth dimension

I'm thinking of doing a maths based Epq specifically the 4th dimension but I'm not sure if it is that possible to be done. If anyone else has done a maths Epq how was it. I also do computer science Alevel aswell.

I'm thinking of doing a maths based Epq specifically the 4th dimension but I'm not sure if it is that possible to be done. If anyone else has done a maths Epq how was it. I also do computer science Alevel aswell.

Hi! I’m finishing up a Physics EPQ on Gravitational Waves and Black Holes, which is an application of General Relativity. General Relativity is a 4-dimensional theory of the geometry of spacetime established by Einstein in 1915.
In my EPQ, I mention metrics and tensors describing the curvature of this 4 dimensional manifold. However, I definitely did not get deep into the mathematics behind it.
I totally think it’s possible, but I recommend you have a good look into linear algebra, space metrics and vectors and sort out exactly what about 4 dimensions you want to investigate.
I personally have not gone far with the Maths for this yet, but I just wanted to share what I know! Hope this helps, cheers.

how did you manage to turn this topic into an argument between two sides per se? my epq supervisor is insisting that our epq has to be a discussion between 2 or more sides of an argument

So my research question was “to what extent can gravitational wave astronomy determine black hole formation”, which investigates the precision/accuracy of detectors like LIGO, VIRGO, LISA, CE and ET, GW theory and BH theory. The aim was to understand how we trace the steps back from a BH merger, BH evolution until BH formation, and find out about its progenitor star, mass, location, metallicity, BH formation mechanism, spin etc. It was an evaluation of how effective GW astronomy is and I’m on for ~almost/full marks w pearson (TBC).
Originally, I used “can” instead of “to what extent” which was a yes/no type answer instead of a thorough evaluation. Idk if it was “2-sided” but I discussed multiple for and against arguments in 3 categories: physical, theoretical and detector limitations. I think the most important thing is to give yourself enough wiggle room in your question to argue for/against a statement.
Lmk if u want resources/have any questions, I’m be happy to help😁

how did you deal with the complexity of the maths behind this? as of right now my epq title is 'which theory for the origin of the universe is most plausible?' where i'll discuss the science behind different theories and maybe add in some religious reasoning because that kind of thing interests me, but im worried that this isnt scientific / technical enough to be worth discussing for competitive unis. ive considered changing my topic to something related to determinism and quantum theory but that might end up being too complicated, so do you have any advice on dealing with complex maths and physics concepts? im worried about dedicating a lot of time to it then getting to a point where i dont understand and cant really explain what im talking about lol