Saturday, 24 August 2013
Wednesday, 21 August 2013
At The Edge of Time and Space
Back when I was a callow teenager,
thousands of years ago, I wrote a science fiction story called The Fist of God in which a gigantic
intergalactic spaceship was on a never-ending journey through the cosmos,
seeking a new home for the human race.
This is, of course, not exactly an original
trope, nor was my further plot development. Predictably enough, the crew and
presumptive colonists lost sight of their main purpose, over time, and
disintegrated into squabbling, mutually hostile tribes engaged in low-intensity
civil war, where those castes which controlled the air, waste retreatment
centres, and hydroponic farms held the balance of power over the rest.
The story even had a heroine, a young,
restless girl who refused to be content with her future prospects as a
(privileged) worker tending the hydroponic gardens, and who was the cause of
much consternation among her teachers, who were afraid she’d get into trouble.
There were also – and for the life of me I can’t remember why I put them in –
gorilla/human hybrids called “Gormans” who were genetically engineered to be a
low-intelligence, high-strength slave labour class, and who by the beginning of
the tale had already gone extinct.
It was a very bad story.
Anyway, at what I intended to be the climax
of the piece, the heroine had finally got herself into serious trouble over
something or other, and the silly little chit had been dragged to the Ultimate
Authority – the Control Room itself – for suitable punishment. But just before
the awful judgement, whatever it was, could be handed down, the Big Bang ended.
The Universe, having reached the limit of its expansion, began to collapse on
itself. The Big Crunch was on.
And, in my fictional spaceship, time went
into reverse. People began to unsay things, unthink thoughts (I confess that I
typed sentences back to front to show that they were doing this), unlive their
lives; and, as the galaxies fell back towards each other, the “fist of God
closed in.”
Yes, that was how I ended the damned tale. The Fist of God closed in.
It was a very, very, very bad story. Not as bad as the one in which a demon-haunted
house turned anyone who entered into a gourmet meal (that one was called Sous-Chef, can you imagine?) but still,
extremely putrid. I offer no excuses for it, nor shall it ever see the light of
day.
So why do I bring it up at all?
This: there is a question which many people
ponder, without finding an answer; “if one could reach the edge of the
universe, what would be on the other side?”
This article, by the author of The Fist Of God, is an attempt to answer
that question.
Now, before we go any further, let me state
right away that I will – with the scientific evidence firmly on my side – assume
that the reader is aware of, or willing to accept, the following facts:
First, that the Universe, which comprises thousands of millions of
galaxies, each comprising millions of stars, is not a mere six thousand years
old; and that naked apes crawling on the surface of a ball of rock rotating
round an inconspicuous star in an undistinguished outer fringe of one such
galaxy have no particular reason to think themselves as the centre of all
creation.
Second, that the Universe started at a finite
point in the past, albeit many aeons ago, in a quantum event called the Big Bang, the background radiation of
which is detectable to this day. This Big Bang, furthermore, caused a rapid and
continuing expansion of the Universe, an expansion which can be observed
to be still continuing, and is still accelerating. Obviously, by
measuring the rate of expansion and the acceleration, one can calculate roughly
how long ago the Big Bang must have occurred.
Third, that – as per Einstein – space and time are part of a single
unified quantity, called spacetime, and that one cannot have
one without the other. Also, again as per Einstein, gravity has a significant
effect on spacetime...it curves it. The
stronger the gravitational field, the more it curves spacetime, until when the
gravitational field reaches a sufficient level, spacetime is completely curved
in on itself in a sphere. Such a sphere of closed spacetime is called...anyone
willing to hazard a guess? No? Well, it goes by the name of a black hole, from which nothing – not even
light – can ever escape.
Incidentally, for anyone inclined to doubt its
existence, the curvature of spacetime was proved as long ago as 1919 by
observation. It is not “just a theory”, as people who don’t know the scientific
definition of the word “theory” are so fond of saying. So there.
Fourth, that the speed of light is a universal constant, which cannot be
exceeded, or even matched by anything except light itself. Also, as one gets
closer to the speed of light, time slows down – and comes to a complete halt at
light speed itself. If you went faster than light, you’d go backwards in time.
Again, it’s been proved (by experiments with ultra-accurate clocks on
aeroplanes) that the faster you go, the slower time moves. This is proven, scientific fact.
Right.
Since all good stories should begin at the
beginning – though most avant garde
ones begin somewhere at the halfway mark and begin crawling back and forth like
a demented earthworm – let’s start with the Big Bang. Now, we can’t say just why the Big Bang happened.
One possibility is that it could have been,
as in my awful story, due to the gravitational collapse of a pre-existing
universe. As the post-Big Bang expansion of the universe continues, it will,
according to this idea, ultimately begin to slow down as the mutual
gravitational attraction of the galaxies begin to counter the expansion. Finally,
the gravitational attraction will cause the expansion to halt, and then fall in
on itself. As it does, it will begin to accelerate inwards towards a common
centre, moving four times faster for each halving of the distance, as per a very well known fact of physics called
the Inverse Square Law. Ultimately,
moving at a terrific velocity, it will all come together in one colossal smash,
annihilating anything and everything. And then, the energy released will cause
it to blow outwards again, in a successor Big Bang. A neat idea, with an
endlessly repeating cycle of universes.
There’s just one problem, a rather big problem, with this idea. It requires
the Universe to have enough mass to possess the necessary gravitational
attraction to cause the galaxies to collapse together. And, as far as can be
detected, the Universe doesn’t – not by a long chalk.
The commonest explanation of this “missing
mass” is that it exists as “dark matter” which is not directly detectable by currently
available means. However, the existence of “dark matter,” and its counterpart, “dark
energy”, which together comprise over 84% of the Universe, is wholly hypothetical (a
different kettle of fish from theoretical).
At the moment, it’s only conjectured to exist. It might well not.
If dark matter does not exist, then, the Universe will not slow its expansion and
ultimately fall in on itself, to be reborn in another Big Bang. It will,
instead, expand forever, until and beyond the time when the last forlorn star
burns out. Obviously, in that case, the Universe wasn’t created by the expansion of a pre-existing universe
(otherwise it would, you know, have the mass to collapse in its turn). And in that case, this Universe came into being
in a quantum event, where any one of
a literal infinity of possibilities
can occur.
Before I go any further, this might be the
time for a brief discussion of the word “infinity”.
It does not mean “a very, very large
number, larger than anything you can even imagine even if you get yourself
blind drunk and then try to think of a really huge, enormous, gigantic number.”
A million billion trillion gazillion isn’t infinity; a zillion times that isn’t
infinity, either. Infinity means a literally
endless quantity. If you subtract a quinquasesquillion from infinity, you still end up with infinity. If you
subtract infinity from infinity, you still
end up with infinity. Fine?
OK, maybe not so fine. Never mind, for the
moment. I’ll get back to this again, though. It is kind of important.
To get back to that quantum event – in it,
any one of an infinite number of possibilities can occur. Obviously, at least
one of that infinite number of possibilities is the Big Bang. We know this
because, you know, the Big Bang actually
occurred, which is why you’re in a position to read these words now. The
advantage of the quantum Big Bang is that we don’t need any hypothetical dark
matter; we don’t need a collapsing earlier universe; and we don’t need some
kind of creator to start things off, either. All we need is for something to be
possible, and it will exist.
Now, I am going to say something extremely important. It is so important
that without it the whole question of the edge of the Universe, which we’re,
you know, discussing in this article, becomes unanswerable. It is this:
Whatever the origin of the Universe, it did
not come into being at a certain
point in the empty voids of space. There were no voids of space. Space, or to be more accurate, spacetime,
came into being at the same instant as the Big Bang. Before that there was
literally nothing. After that there was everything.
This holds true even in case this Universe
came into being in the heat death of the previous one. Because, as I said,
spacetime is curved by gravity, as the galaxies collapse inward and their
mutual gravitational attraction grows, they will curve the space around them
more and more tightly. Spacetime will contract around them, like a protective
sheath, until at the moment of the Big Crunch the gravitational attraction will
be infinite (that word again!) and the curvature of spacetime will also be
infinite. Spacetime will, in effect,
cease to exist until it comes into being again with the next cycle of expansion.
What this means, in plain words, is this:
Spacetime exists only as long as the Universe does. It expands, or contracts,
along with the Universe expanding, or contracting.
Does this also answer the initial question?
Since spacetime is expanding at the same
rate as the Universe, it’s absolutely impossible to reach the edge of it, let
alone go beyond that edge. We are in the position of someone trying to walk
off a cliff’s edge, where the cliff is enlarging itself at the same rate at
which we’re walking. We can never step off, no matter how hard we try.
If you want a demonstration of what I’m
talking about, take a rubber balloon. With a pen, draw dots at fixed intervals
on its surface. Now, blow up that balloon. What happens? The dots stretch
apart, don’t they? If a dot wanted to jump off the surface, it couldn’t, could
it?
Want to know what it’s like at the edge of
the Universe? Look around you.
Now, let’s assume that we’re one of the
dots on the surface of the balloon. If we look at the other dots, along the
surface, we can see them receding from us as the balloon expands. Of course, we’ll
see them because of the light they emit, which in turn means (since the speed
of light is finite, a matter of 300000 kilometres per second) that we’re not
seeing them as they are, but as they were. And if we were to look at the
centre of the balloon, we’d only be able to see the dots on the other side of the void where we used to be. We can’t go to the centre
from here, no matter how hard we try.
Suppose, now, we were to try and set out
along the expanding surface of the balloon, to try and find its edge. Of
course, we would not find its edge, because there is no edge to find. If we
could walk far enough, we’d end up back at our starting point. Isn’t that so?
Similarly, if we were to try and reach the
edge of space, we’d – assuming we could survive long enough, and supposing the
universe were to survive long enough – end up where we were. If an astronaut in
orbit were to shoot a sufficiently powerful bullet into space, and if he could
wait long enough, the bullet would end up hitting him in the back of the head
after circumnavigating the curve of the Universe. The same thing would happen
with a sufficiently powerful laser beam, or a pebble, or anything at all.
Therefore the question of what lies beyond
the edge of space is as meaningless as asking what colour a unicorn’s horn is –
because there isn’t one.
At this moment, though, one might want to
examine a slightly more hypothetical question – the possibility of the existence of other Universes. Now,
if the Big Bang was a quantum event, there was an infinity of possibilities of
what might happen. So, there might be an infinity of other Universes, in
parallel realities to our own. But they
would be in their own closed curves of space – we could not even detect them, nor they us, far less
visit them from where we are. Their existence can only be, and remain,
hypothetical. Also, since the possibilities are infinite, there is no reason
why they should share the same fundamental physical laws as our Universe. They
could be literally unimaginably different. But
we would never know.
There is a tendency to confuse these
putative universes with universes in another dimension. This, basically, is
because a lot of people are confused about just what a dimension is. Let’s clear up a couple of
misconceptions here.
Listen: time
is not a dimension. It’s common to speak of time as the “fourth dimension”,
but that is completely incorrect. Each dimension is at right angles to the
others. The second is at right angles to the first, and the third to the
second. A fourth dimension would be at
right angles to the three we know. And a fifth dimension would be at right
angles to that. And so on and on.
There is an interesting and entertaining
construct called Flatland, about a
hypothetical two-dimensional world, in which everything has only length and
breadth, but no height. To such a world, we would, of course, be in an
unimaginable “third dimension”. Flatland mathematicians could speculate about us, but they could not
actually detect us. All right so far?
Now, of course, time does not cease to flow
in Flatland. So, suppose Flatlanders called time the next higher dimension to
them – the third dimension. That
would make one of the three dimensions in the world we live in time. But it isn’t, is it?
Time isn’t the fourth dimension. Instead,
as part of spacetime, it is part of all
the three dimensions; just as it is part of any of the higher dimensions.
And all these dimensions, being at right angles to each other, are part of our universe. Just as they
are part of any other universe.
Any
other universes can’t be at right angles to ours, but in parallel. They occupy not other dimensions, but other realities.
It’s
entirely possible that...in an infinity of unknowable other realities...other Big
Bangs are occurring at this very moment in our spacetime. But we can never know
them, never detect them, never cross the boundary of the rubber balloon.
But there’s more than enough to explore in
our universe. And a long, long time to do it in.
As long as we don’t kill each other over
lines on a map or the shape of one’s place of worship, first.
Further Reading:
Monday, 19 August 2013
Minotaur
Here, in my kingdom deep inside the rock, I dwell.
Here, far down at the centre of the maze,
the walls and the roof press in, and it feels that each breath of air that I
draw is one I have drawn a million times before. Here, in the Labyrinth, the
walls and floor are slippery with my condensed breath, and when I roar my
anguish, the echoes die away as though the darkness suffocates them.
The darkness is the essence of the Labyrinth.
It fills it with its malevolent presence, like a river in flood, so thick and
complete one can feel its fingers brush across one’s face, one’s eyes, and play
along one’s chest with every breath one takes.
Sometimes I think I have become part of the
darkness.
It’s not as though I don’t remember the sun
and the sky. It’s been so long since I last saw either that I can almost
believe that I imagined them, but I know that somewhere, outside this warren
which encloses me, they exist. I know it, and it maddens me sometimes, so that
I score the walls with my horns and bite at them in despair.
And I wait.
How long has it been since I have been
immured here, in this maze of stone? I have no way of telling, for in the
Labyrinth time does not measure itself in days and nights. All I know is that
it still passes. And, I tell myself, it is on my side.
Someday, somehow, this must end. Someday I
will be able to walk outside, to see the sun once again, to feel the rain on my
face. Someday, King Minos – who is not my father – will repent my imprisonment,
and set me free.
Or perhaps he will die, and his successor
will throw open the gates of the Labyrinth, and let me out into the light of
day.
So, in the darkness, I score the rock walls
with my horns, and wait.
I wonder if – when that day comes – I will even
be able to see the sun I ache for. Perhaps, after so many years of being
immured in complete and perfect darkness, I have gone blind. I would not be
surprised, for I do not even see the prey when they are sent down here,
sometimes, for me to eat.
Oh, they blunder around, the prey, bleating
their pathetic little prayers, begging for me to have pity. But what pity can I
have on them? More – what pity should
I have on them? For they have had what I can only dream of now. They have felt
the sun on their skin, the stars in their eyes, the touch of a hand on their
brow. They have known laughter and kisses, the joy of running free in the open
air. They have known the light.
Gods! How I miss the light.
But this is my world, this warren of
tunnels and passages and cross-ways, and I know each twist and turn, each niche
and crevice. I can feel every little tremor, every footstep on the rock, like a
spider in the centre of her web. Much as I hate it, it is my world, while they
are strangers, blundering about in the dark, weeping and begging. So I track
them down, one by one, and kill them. And then I eat.
After all, I must eat. I am a monster, I have always been a monster, but even a
monster must live – the life force is in him, just as it is with anything else
that swims or flies or crawls. Worthless as my life is – a life spent in darkness,
buried in the living rock – it is all I have. And I have that forlorn, tiny
spark of hope, that someday I might leave here again.
Do not think too harshly of me, I beg of
you. After all, did I choose to be
born this way? Did I ask my mother, the Queen, Pasiphaë, to play false with
Poseidon’s bull? Believe me when I say that as a child I wished for nothing but
my mother’s love, just as any other child does. And can you imagine how I was
hurt when they pushed me away, my mother, the King who is not my father, and
the rest of the court? I was unnatural, a monster, they said, a monster which
ate people.
Again – is it my fault that I am what I am? One might as well blame someone for
the colour of their eyes or the length of their toes. And why should I suffer
for that over which I have no control?
You, Theseus – see, I even know your name! –
you are come to kill me, with the help of the traitorous maid, my sister. But
be assured, you did not come unsuspected. I knew from the beginning that you
were there. And I can sense, too, the thread the wench gave you, which you
intend to use to find your way back to the entrance of the Labyrinth.
At first, I thought I would let you kill
me, for I have grown full of despair of late. Death, I have thought often,
would be a way out of this living burial, the only release I might ever have.
But I cannot will myself to die, and the weeping sacrifices who stumble along
the passages are incapable of harming me, let alone killing me. You are the
first who has ever come down here willing and able to kill.
Yes, I thought I would let you kill me. I
would let you free me, and in return you could go home a hero, with my sister
to wife.
But then I knew more about you, Theseus. I
knew the false heart which beats in your breast, which won my poor sister’s
love. Yet you do not love her, and you intend to abandon her; all this, I know.
And though the maid is foolish, and willing to betray her brother, she is my
sister, and I will not have you cause her grief.
I could, of course, avoid you. This is my
realm, and I know more of it than anyone else ever could. I could lead you a
dance through these tunnels until your bones grew weary with age and your
breath grew short. But I have no love of games, and besides, I can sense the
fierceness of your purpose. You will not give up easily.
So, I will let you come. I will allow you
to come close, thinking you have won, and then I shall stab you through your
false heart. I will kill you, and set your foul spirit free.
And I shall live on. Here, in the tunnels,
Theseus, immured in the eternal dark, I shall live on.
I wish I could ask you just one question,
Theseus. Before I kill you, I wish I could ask you if it is true that the sun
and the stars still shine in the sky. I wish I could ask you whether I merely imagined
them both. But I am afraid that you would say that I did not.
It is better that the sun and stars, the
moon and the sky, be as the rain and the wind, something I only imagined. It is
better by far that they are not real.
For this is my kingdom, the only one I will
ever have, and if there are better worlds elsewhere, my heart would shatter
with grief.
Tell me, Theseus, that the sun and sky are
not true.
Copyright B Purkayastha 2013
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