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I want to go into quantum gravity and foundational issues in quantum mechanics, or something along those lines. It seems to me that it would be a good idea to go with math since that will be used extensively in quantum gravity (viz. Loop Quantum Gravity alone!) or foundational issues in quantum mechanics (e.g. Isham's topos in quantum theory).

But I was always told that I ought to get a good, solid foundation in physics from (well) physicists. Should I disregard their advice and go for the BS in math since it's faster? Or should I get a BS in math and physics? Or just physics?

Thanks for any advice!