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.
Of course, this analogy is somewhat simplistic in its one-dimensionality. First comes realization, that vibrational spectrum is multi-dimensional and then that it is actually infinitely-dimensional. So, while physicalized material part of existence might go through a regular birth and death cycles, it is possible that some parts of consciousness maintain a particular frequency band orthogonal to that, and thus constitute "soul".
The Riemann zeta function is definitely an interesting object, as it has something to do with reality of physical matter. Recent research has demonstrated that certain characteristics of it resemble the trajectories of physical particles (bounces on the left) and their spiral-shaped tachyon traces (on the right). Which brings forward the idea that matter actually has memory, which in turn gives rise to consciousness. Or maybe it's the consciousness that gives rise to matter via mathematics?
http://kniganews.files.wordpress.com/2013/01/bc52matiyas.jpg
It becomes more and more evident, that mathematics, consciousness and matter are the three inter-related parts of the same one thing. It goes like this: mathematics is shaped by consciousness, consciousness is shaped by matter, matter is shaped by mathematics. Circular dependency that attempts to resolve itself in the ever-lasting "now".
http://kniganews.files.wordpress.com/2012/11/equ123.jpg
It somehow also reminds me of the Shield-of-Trinity picture a few posts above, which hints at the idea of what that "one thing" can actually be.
