Mankind was on the brink of its greatest achievement. Professor
Tsotsos had been working all night. He looked down at his creation -
the first ever neo-quantum computer. Computers had been getting faster
and faster ever since their invention nearly two centuries ago. The
very first machines had been able to perform just a few hundred basic
instructions every second. Throughout that century the figure had
doubled every eighteen months without fail, until by the end of the
millennium, computers were running at an unimaginable one billion
instructions every second. But progress had not stopped there. One
billion instructions a second became ten billion instructions a
second, then a trillion, then a thousand trillion. Every time they
warned that the ceiling was being reached, either because of
theoretical limits in the engineering process, or even because of the
laws of nature itself, someone somewhere seemed to find a way to
circumnavigate the problem. Originally, in the early days of the
integrated circuit board, the width of the etching laser was proposed
as the limiting factor. Then, back in the era of the optic computer
the speed of light was apparently the constraint. Then came the Gamma
computer in which the world was warned the frequency of Gamma
radiation would inevitably supply the upper limit on performance. Then
came the first X-Gamma machine which multiplied the top processing
speeds by a factor of ten practically over night. Then the quantum
computing age had taken off, but again, limitations on quantum
tunnelling speeds appeared sure to put a constraint on how high man
could fly. By the end of the second century of the second millennium,
computers were able to process more than one trillion trillion
instructions every second, and this speed was only limited by the
two-century old fundamental physical quantity - Plank's constant. A
truly tiny number that dictated a degree of uncertainty in all parts
of the universe. This uncertainty was apparently unegotiable, no
matter how ingenious man's efforts might become.
But Professor Tsotsos and his team had, over the last few years,
managed to prove yet again that man's capacity to solve problems was
greater than his ability to invent them. Neo-quantum theory had shown
that the universe in which man lived was not in fact the only
universe, but one of an apparently infinite number of universes, with
every possibility of existence etched out somewhere in the
continuum. It was officially the craziest theory science had ever come
up with, but experimental results had borne the theory out, and here
at last, sitting in front of the Professor, was the first ever
application of that theory. The computer worked not by performing
sequential calculations in its universe, but by performing concurrent
calculations in parallel universes. According to the theory, because
the number of universes was unbounded then a calculation of any length
or any size could be computed in a constant time that was proportional
to Plank's constant. No matter how many calculations were required to
complete the operation, the answer would always come back after
precisely 6.626176 ten to the thirty-fourths of a second - which is a
very, very short time indeed. In effect this meant that the first ever
machine had been invented which was capable of computing infinitely
quickly. The larger the problem, simply the more alternative universes
were sucked into the calculation.
The downside to the whole process was that the calculations performed
by the computer were what was termed `invasive'. For every calculation
performed, a tiny particle somewhere at some time in some universe
would be altered from its original state. Only according to the
mathematicians, this did not lead to the other universe changing its
natural course, but rather, in some strange way, to the other universe
always having been this way. It was all highly confusing and nobody
had a good understanding of how this could be. But the mathematicians
were trusted, because it was only in the maths that the frontiers of
modern science made any sense whatsoever.
Now you might want to know what the very first calculation performed
on such a fantastic machine was. Half an hour ago the professor had
entered a program to calculate the first digit of the number, Pi. The
computer had responded almost immediately with the answer: 3. The
professor had smiled. This was indeed the first digit of Pi, although
according to the Professor's estimate, it had only taken the machine
about one thousand operations to work this out. His next request had
been more demanding - to calculate the millionth digit. Again, to the
human eye, the response had seemed immediate. The answer, again
correctly, was 5. Just ten minutes ago the Professor had decided to
enter one of the hardest equations to calculate that science knew
about. It had long been postulated that the answer to this particular
formula was about one, but no-one had ever been able to work it out
exactly. The answer to this question was vitally important too,
because if the number turned out to be larger than one, then it meant
that the universe would go on expanding for ever, while if it was
smaller than one, then the universe would one day collapse again into
the oblivion from which it had come all those years ago at the time of
the big bang. But even if the problem had been run on yesterday's
fastest computer, the answer would have still taken over three hundred
consecutive human lifetimes to work out, and although everyone was
desperate to know the answer, there seemed no point in starting the
calculation off if no-one living today or any of their immediate
descendents would get to see the answer. After entering the query, the
Professor's thin, bony finger had hovered nervously over the button
for a few seconds...then he had pressed it. The letters on the button
in question had read "COMPUTE". The answer was again immediate. It was
... 1! The Professor had raised his left eyebrow by a single
millimetre. How interesting! This meant that the parameters of his
universe were such that it would neither go on expanding forever, nor
collapse back into a 'Big crunch', but would instead be stable for all
eternity.
As he had looked at the screen again, a sense of mischief had crept
into that peculiarly cunning mind of his. He slowly and carefully
entered the next question: ``What is the last digit of Pi?'' The
Professor had known perfectly well that Pi was represented by an
infinitely long sequence of numbers. He knew that in effect it had no
last digit - that the sequence of numbers just went on for ever. The
Professor now sat wondering what would happen when the irresistible
force met the immovable object. What would the computer say the last
number of an endless sequence was? Again his finger hovered
momentarily over the COMPUTE key...
Unfortunately the mathematicians had made two mistakes in the theory
of neo-quantum computing. The first was that there were an infinite
number of universes. In fact there were not. The second mistake was
that each universe existed quite separately from all the
others. Again, this was untrue. If they had looked more carefully into
their equations they would have seen that all universes were actually
part of the same continuum - a fabric connected and woven together
through countless quantum tunnels. If only the Professor had realised
that in calculating the first digit of Pi he had happened to disturb
one thousand unimportant atoms in a Galaxy on the other side of the
continuum. If only he had realised that in calculating the millionth
digit of Pi, he had completely changed the orbit of a medium sized
planet in a dimension not so very far from his own. If only after his
third experiment he had happened to look through any Quantum
telescope, he would have seen that the universe visible to man had
changed beyond recognition. Thousands of entire solar systems less
than one hundred million light years from earth simply no longer
existed.
...The Professor's finger quivered over the keyboard in a state of
nervous excitement. Then he pressed the button and the first ever
infinite calculation began. 6.626176 ten to the thirty-fourths of a
second later, mankind had never even existed.