Thankyou so much, really appreciate it :D
In regards to this statement you made:
Someone else just before mention the use of muons and how i could link them in (we talked about these in class and i can see how i would do so), would you suggest that i potentially incorporate that into the question? or into the research investigation itself (like in the writing and evidence)
I haven't looked into muon particle accelerators and don't know how they work, but if they work the same as something like the large hadron collider then you could definitely talk about them.
If you're thinking something like how we detect the muons (i.e. they are formed really high up in the atmosphere and we can only detect them because they experience length contraction and time dilation), then I wouldn't include that - only because it doesn't involve particle accelerators.
Your claim is broadly speaking about particle accelerators, so if you wanted to make it more specific then you can definitely explore one single particle accelerator. So, in this case, that would be the muon accelerator. Ultimately, I'd recommend having a look into these muon accelerators and see how they actually work and the evidence for them supporting the idea of length contraction. If you do find that there is good evidence for this, then a potential research question is:
Are muon particle accelerators able to support the 'ladder in the barn' paradox by providing evidence for Einstein's prediction of the phenomenon of length contraction?
If you are able to find evidence for length contraction when looking into muon particle accelerators (or any other particle accelerator) then by all means go for it. However, I do believe it will be easier to look into time dilation as we are able to measure the duration of physical processes experienced by particles. If we compare the duration of a physical process for a particle that is moving slowly to that of a particle that it moving very quickly we may find evidence to support the concept of time dilation :)