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| File Name : WARPSURF.ASC | Online Date : 11/20/94 |
| Contributed by : Jerry Decker | Dir Category : GRAVITY |
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The following file is courtesy of Jack Veach.
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SpaceTime Hypersurfing
by Michael Szpir
from Volume 82 of American Scientist
In some future history, 1994 may be remembered as the year that the warp drive
was first conceived to be a physical possibility. Long a cliche' of science-
fiction writing, the warp drive has transported countless fictional characters
through light-years of interstellar space in the time it takes for you or me
to travel to the market. Unfortunately for real-world travelers, the warp
drive has always been thought to be inconsistent with the laws of physics.
But all this has changed.
In the May issue of CLASSICAL AND QUANTUM GRAVITY, Miguel Alcubierre, a
physicist at the University of Wales describes a space-travel scenario that
bears an uncanny resemblance to the warp drive of science fiction. With
Alcubierre's warp drive, we could reach any place in the universe in as short
a time as we please!
The warp drive envisioned by Alcubierre is made possible by the subleties of
Einstein's general theory of relativity. According to Einstein, spacetime
(the union of the three dimensions of space with the dimension of time) is NOT
an INERT SUBSTRATE, but rather a DYNAMICAL ENTITY that twists and distorts
under the influence of concentrations of energy.
Alcubierre suggests that it might be possible to exploit this phenomenon to
travel from one star to another faster than the speed of light. This could be
done by creating a disturbance in spacetime such that the region directly IN
FRONT of a spaceship is contracted while the region directly BEHIND the
spaceship is EXPANDED. This distortion of spacetime would, in effect, propel
the spaceship forward like a surfer riding the crest of a breaking wave.
At first glance this mechanism would appear to violate Einstein's SPECIAL
theory of relativity, which holds that no object can travel faster than light.
Violations of this law lead to causal paradoxes, in which actors in the
present can alter their own past.
Yet Alcubierre shows that his warp drive does not, in fact, lead to such
violations. The reason is that light also travels in spacetime, and is
carried along just as the spaceship is. The light beam is still traveling at
the speed of light, relative to the spaceship, which itself is not
accelerating relative to the spacetime in its immediate vicinity.
Although Alcubierre's warp drive does not engender any causal paradoxes, one
might still be concerned for a space traveler's welfare. To get to a distant
star and back in only moments, the traveler would have to be accelerated at a
very large rate, effectively turning him into soup. Or at least this would be
true, if not for the fact that accelerations are relative in general
relativity.
Although the acceleration of the spaceship as seen by someone on Earth would
be enormous, the acceleration experienced by the space traveler would be zero!
The space traveler would be weightless, just as astronauts are in orbit around
the Earth. Finally, Alcubierre also shows that a traveler using his warp
drive would experience no time dilation. One of the predictions of Einstein's
special theory of relativity is that time flows at DIFFERENT RATES (Keely said
that 'Time is Gravity') for observers moving relative to one another.
Consider two space travelers, John W. and Campbell Jr., who decide to visit
the great galaxy of Andromeda, which is about 2 million light-years away.
John travels in a spaceship that advertises "one Earth gravity all the way."
Campbell spends most of the trip traveling near the speed of light.
Because of time dilation, Campbell is able to survive the trip, aging only 60
years in the process. However, because the galaxy is 2 million light years
away, about 4 million years pass on Earth before Campbell gets home. In
contrast, John is able to make the journey to the galaxy and be back in time
for supper on Earth!
Of course, there is no such thing as a free lunch (or supper). The key to
Alcubierre's warp drive is something called exotic matter. Exotic matter has
the curious property of having a NEGATIVE ENERGY density, unlike normal matter
(the stuff that makes up people, planets and stars), which has a POSITIVE
energy density.
Two bits of matter that have the same energy density are attracted to each
other by gravity. In contrast, bits of positive and negative energy matter
would be REPELLED by gravity. It is the negative energy density of exotic
matter that POWERS the warp drive.
A negative energy density is not the nonsensical thing it appears to be.
Indeed, in 1948 the Dutch physicist Hendrik Casimir first predicted that one
could observe the effects of negative energy densities. He reasoned that if
negative energy densities existed, two closely spaced parallel conducting
plates in a vacuum would be attracted to one another. This phenomenon, now
called the Casimir effect, was measured in 1958 by M. Sparnaay, and is
usually taken to be a confirmation that negative energy densities are
possible.
Exotic matter of a slightly different type is also invoked in the modern
theory of cosmology known as inflation. According to the theory of inflation,
exotic matter in the early universe (moments after the big bang) had a
positive energy density, but a very large negative pressure. The negative
pressure was so large that it counteracted the effects of the positive energy
density.
The result was an expansion of spacetime so rapid that two observers
originally very close to each other would be carried apart FASTER than the
speed of light. This paradigm of spacetime expansion provided the motivation
for Alcubierre's warp drive.
There are, of course, 'technical details' to be worked out before the
aerospace firms can start building starships. Foremost among these is the
production of exotic matter. Alcubierre has not given that aspect of the
problem much thought. Although he is an avid reader of science fiction, he
does not intend to pursue the subject much further.
Currently, he spends most of his time working on other problems with general
relativity. The warp-drive scenario, he says, is a very simple thing that he
came up with in his spare time. Perhaps the problem will be taken up by some
future physicists in their 'spare time'. The rewards could be astronomical.
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