I want to enrol on a PhDs in statistics I have a degree in business 10 years ago

I absolutely love maths and physics and these are the areas I want to research

Can anyone advise me

Search the forum. There are loads of threads on this

Yes and http://www.findaphd.com/ of course! ;)

What kind of research in physics will be acceptable

check the institutions' pages

http://www.findaphd.com/

...is the obvious place to start looking. However, check the small print and ensure the PhD is fully funded.

You might also want to check the vacancies on individual University websites.

As regards other questions you might have and other general advice, by all means take a look at my blog.