〈 Berger | Dillon 〉

Hi mister, if I am not mistaken, it is dangerous to play with infinite series in this way - unless you are joking. It is there are several unsafe steps in this pic.

3. In the "equation 2" part, the leading term of 1/epsilon^2 is clearly exploding to infinity, while the large blob on the right of it is 1.

Again, epsilon is a finite number.

Epsilon is a finite number that will goes to infinitely small in the end if it were to be equal to the original series.

No.. I never claimed it was equivalent. I said that -1/12 is the renormalized sum

If so, well, I think it is better to keep mathematics and physics separated. Bcs one cannot infinity divide an apple - which can be done in math but cannot be done in physics. QED is fun and miraculously it works.

Keep mathematics and physics divided? Welp I guess there's no Newton's laws either then!

Not divided, but separated, mister. These 2 are highly interconnected yet significant difference remains. In physics: if a beautiful physics theory does not agree with experiment, it is not right. In math: who cares about experiment & reality?!