Back to the Future: Does physics of Marty's time travel add up?

Today is 21 October 2015 – the date Marty McFly and Doc Brown travel to in Back to the Future Part II. Can we reconcile the films with reality?

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Back to the Future: Does physics of Marty's time travel add up?

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Back To The Future Day 2015: What exactly is a space-time continuum and do flux capacitors really exist?