intense quakes on the feeling of truth

I believed that human brain is a Turing machine (because there was no reason to believe in the opposite). But, apparently, some guys have proven that if you allow irrational numbers as weights in an artificial neural network, it has super-Turing computational power. Well, since we are living in an analog world, our brains, as neural networks, can have irrational weights (assuming the physical world we live in, is continuous, not discrete), hence, our brains may be super-Turing machines.

This may be the first time to consider the possibility of myself being more than a Turing machine.