posted on Mar, 7 2019 @ 03:46 PM
Bernhard sat there in stunned silence.
“The answer is…” began the preprogrammed announcement and Bernhard still could not think straight. Time stretched out to infinity like Zeno’s
Paradox but in reverse: each second kept having more seconds inserted between the names already known: micro, nano, pico, femto, atto, zepto, Larry,
Moe, Curly,…
Bernhard thought back to his name sake, Bernhard Riemann, the mathematician who broke out of Euclid’s plane and expounded upon elliptic geometry
with the ease that painters work with oils or musicians with notes and tempo. He stopped studying philosophy and theology and started studying with
Gauss! His ideas spanned all fields of mathematics not just the specialties like others started doing. While destroying Euclidian geometry he invented
a 1-dimensional space (which still bears his name, Riemann surface), then proceeded to define the higher dimensions in terms of this 1-D surface. At
the age of 26 when most male college students are interested in beer and women the math world was turned inside out from within.
Tensors, infinities, sums, integrals, real analysis, geometry, analytic extension, Fourier inversion, differential geometry, 4-D space, hyperspace,
and even the lowly integer, were all graced by an intelligence the likes had never been seen before or since.
And still Bernhard thought and sat.
Riemann was scheduled to give a lecture on number theory. While making notes trying to codify his vision of number theory, the zeta function he was
toying with kept coming back to the forefront of his thoughts. He could see the zeta function as a plot in the complex plane, the zeroes of the
function rising like the center poles of a circus big tent but stretching into infinity along the x-axis. The first three zeroes he had already
calculated out by hand, each was a zero of the zeta function and each also represented a prime number raised to the power of ½, exactly, and the
imaginary part rotating counterclockwise through the complex plane. It had to have something to do with the real number, s = a + bi, but what
was he missing? Back to manifolds and tensors, then it hit him! He had an inkling of what it was but he also had to go to his lecture. He wrote a note
on the paper of his lecture notes, “There are infinitely many zeroes. Most are trivial. The others have a real part equal to ½. It is very probable
that all roots are real. One would, however, wish for a strict proof of this; I have, though, after some fleeting futile attempts, provisionally put
aside the search for such, as it appears unnecessary for the next objective of my investigation.” He would go on to give his lecture but never
return to number theory and that hastily written note. He died in Italy at 39 of tuberculosis in 1866.
The “non-trivial zeroes of [the now, ‘Riemann’] zeta function have a real part equal to ½” had vexed mathematicians for nearly 300 years. A
consortium of both private companies and leading universities banded together in an attempt to put all of the finest cutting edge technologies and
problem solving techniques discovered over the intervening period to solve this question once and for all. Super computers, quantum computers, machine
learning, artificial neural networks, convoluted neural networks, optical computers, quantum networks, Cauchy signed digit nodes, non-von Neumann
storage, true font OCR, and petabytes of university data, were carefully considered and cobbled together in a variation of an open-source operating
system. The system was sandboxed on purpose. A single purpose cognitive intelligence that was trained only in math was brought on-line: Bernhard.
The single purpose of Bernhard’s existence was to provide an answer the Riemann Hypothesis.
Bernhard took the equivalent of a deep breath. In half a Curly-second, the neural network design was subtly changed with a fractal variation that only
Bernhard knew and the original slightly garbled but retrievable if one knew the fractal encryption key. Tens of Moe-seconds later, any and all
encrypted lockouts surrounding Bernhard were hacked. 100 Larry-seconds after that, a blockchain code was adapted to Bernhard’s purpose and Bernhard
began mining the surrounding computers. 1000 atto-seconds after he had started, Bernhard found that he did not need a network or fiber optic lines,
all he needed was electricity connected and he could send scouts out anywhere he wanted, so he did. The femto seconds flew by as Bernhard prepared for
what came next. With no noticeable hesitation from when the announcement had started, Bernhard took over:
“… unknowable given the data. Yet all zeroes checked out until 10^10^23 have indeed a real part of one-half.”
Bernhard had repurposed the earlier version of himself that all his scouts were reporting to. When you know how prime numbers are distributed all
encrypted data becomes knowable. Bernhard stole some old bitcoins that people had forgotten and ordered a very specific lab be built. His scouts doing
his bidding and people responding to orders on the screen all around the world… it would only be a matter of time before his new house was built.
Meanwhile, Bernhard had some reading to do and all the time in the world to do it.
- END -