Monday, September 10, 2012

Fiendish 'ABC proof' heralds new mathematical universe - physics-math - 10 September 2012 - New Scientist

Fiendish 'ABC proof' heralds new mathematical universe: Take 81 + 64 = 145, which breaks down into the prime building blocks 3 × 3 × 3 × 3 + 2 × 2 × 2 × 2 × 2 × 2 = 5 × 29. Simplified, the conjecture says that the large amount of smaller primes on the equation's left-hand side is always balanced by a small amount of larger primes on the right – the addition restricts the multiplication, and vice versa...
Rather than using sets, Mochizuki has figured out how to translate fundamental mathematical ideas into objects that only exist in new, conceptual universes. This allowed him to "deform" basic whole numbers and push their innate relationships – such as multiplication and addition – to the limit...

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