4 ms·
> that abuses appropeiated quantum physics terminology I would certainly not only specifically not say this is borrowed from quantum physics (perhaps classical
by LolWolf 6y ago
> that abuses appropeiated quantum physics terminology
I would certainly not only specifically not say this is borrowed from quantum physics (perhaps classical EM?), but in fact the whole point of the theorem is to show that such roots do interact in a specific way. From Theorem 1 of the paper:
> Let P ∈ Z[X] be a monic integer irreducible polynomial
of degree n > 1. If P is not cyclotomic, then [the largest root of P is bounded away from 0 with norm at least 2^(1/4n)].
In particular, it is a statement about a specific root (the largest one) lying outside of the unit disk, whereas the remaining roots could potentially lie within it (and specific examples of this 'tightness' condition are given in applications in section 5).