. . .
http://mathworld.wolfram.com/images/equations/RiemannZetaFunction/NumberedEquation3.gif
The problem here is that conventional mathematics uses a flawed (i.e., partially anti-symmetric [i.e., one divided by infinity is equal to zero and one divided by zero is undefined]) numerical system. The Riemann hypothesis should be provable when using Earths numerical system with the systems zero approached from the positive direction (which is of greater magnitude than its positive infinity) in the place of the traditional infinity of the conventional Riemann zeta function.
The problem here is that conventional mathematics uses a flawed (i.e., partially anti-symmetric [i.e., one divided by infinity is equal to zero and one divided by zero is undefined]) numerical system. The Riemann hypothesis should be provable when using Earths numerical system with the systems zero approached from the positive direction (which is of greater magnitude than its positive infinity) in the place of the traditional infinity of the conventional Riemann zeta function.
Quote from: Earths set of all real numbers
Code:
ℝ = {0⁻, −∞,
, −1,
, −⅟∞, −0⁻, −0⁺, ⅟∞,
, 1,
, ∞, 0⁺}
That's very insightful. Thanks!
So, if applied to my frequency spectrum example, the 0-frequency flat-line of non-existence at the bottom, which all non-zero frequencies can sample and thus refer to (as we do now), is actually a whole another reality-bubble of existence within itself (with its own 0 and infinity), which cascades this way further and further indefinitely. Thus the idea of becoming non-existent can only be experienced momentarily, as this state immediately brings forward the realization that you're suddenly everything there is, which then cools down towards a particular finite shape, so that the whole process can repeat itself again and again.
. . .
Earths numerical system (username18333) loops around at both its −0 (under conventional mathematics, zero) and its 0 (under conventional mathematics, undefined).
Yeah, I guess I see it. You can actually fit a whole another numerical sub-system in between the inner zeroes in the middle, in which they will serve as the outer ones (bigger than infinity). Or in other words, one singular zero in our current system suddenly "wakes up" as the whole numerical system in itself. That's what I was referring to in my example, only your zeroes have never gone to sleep
.