When the device detonates in the Mutara Nebula, we see the following
sequence of events.
1) The Enterprise goes to warp speed.
2) The device detonates. A very rapid 'shock wave' races out from the
centre, rapidly overtaking the Enterprise.
3) Over the next few seconds all colour fades from the area immediately
adjacent to the detonation.
4) As the Enterprise races outward, a series of 'shells' of material
begin to form, each larger than the last. Within this shell structure there
is no nebula material visible, while beyond it the nebula remains intact.
As the Enterprise exits the scene we see the first five shells form behind
it.
5) The Genesis planet and its star form. Views of the formation of
the planet reveal material falling in towards it. A gaseous cloud surrounds
the planet, exhibiting the same shell structure as before - albeit in a
much compressed form. Both cloud and planet are glowing red hot at this
point. The time between event three and four is small enough that the McCoy
has only just informed Kirk that Spock has suffered fatal injuries.
1) The Genesis device does not actually create matter, but 'only' modifies
pre-existing matter - originally intended to rebuild a planet, in actual
fact the device used the material of a nebula to make a whole new solar
system.
2) The mass to build the planet, and by extension the sun, collapsed
into place over some ten minutes.
3) The material of the nebula appears to have collapsed into the shells
of matter we see almost instantly. I assume that any given shell contains
all the material which had formerly occupied the volume between it and
the next shell out.
4) The nebula was made of Hydrogen, at a density of 100 million atoms
per cubic metre - some one hundred times the density of interstellar space.
The Enterprise most likely would go to its highest possible speed to escape the detonation, but in order to err on the low side I will assume that she did only warp one while heading out. The time between the detonation and the formation of the first five shells was 5 seconds; hence the fifth shell had a radius approximately equal to five light seconds.
Looking at scanned images of the first five shells reveals that the ratio of their radii is as follows :
Shell 1 = 6
Shell 2 = 20
Shell 3 = 40
Shell 4 = 82
Shell 5 = 160
Which roughly follows an exponential increase. Given that shell five has a radius of 5 light seconds, we can calculate each shells radius :
Shell 1 = 0.32 light seconds
Shell 2 = 0.63 light seconds
Shell 3 = 1.25 light seconds
Shell 4 = 2.50 light seconds
Shell 5 = 5.00 light seconds and so on, the radius doubling each time.
Following assumption 4, the nebula would have an average density of
1.7 x 10-19 Kgm-3. In order to collect enough matter
for a star and planet, the Genesis device would need to clear a volume
of some 1049 cubic metres, a radius of equal to 1.5 light years.
This is sufficient to hold 28 shells in all. By calculating the volume
which must be compressed into each shell, we can work out the mass of each
shell. In order for the shells to collapse to the centre within the ten
minute time frame, they must move at differing velocities. The following
table shows the mass and velocity of each shell :
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(xc) |
(kg) |
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This makes it clear that the majority of the mass of the system - some 87% - was in fact contained within the outermost shell. For the sake of brevity I will confine myself to this shell only for the remainder of the calculations.
Shell 28 would have a collapse speed of some 70,000 times the speed of light. This equates to Warp 9.999648. We don't have an equation to tell us how much power is required to move a specific mass at a specific speed, but the 5 million ton Galaxy class starship requires a total of some 4.77 x 1018 Watts to move at Warp 9.6, or 1,909 x c. The power curve 'approaches infinity' as it reaches warp ten, and we have no clear idea of the figures beyond warp 9.6. But projecting the graph on page 55 of the Technical Manual to make an estimate - again erring on the low side - a figure of some 1025 Watts seems to be a reasonable value to maintain Warp 9.999+ in a Galaxy class ship.
Since shell 28 has a mass of some 2.82 x 1020 times greater than a Galaxy class vessel, it would need 2.84 x 1045 Watts to maintain this high a warp factor. Over ten minutes then, the total energy required can be calculated as :
E = 2.84 x 1045 x 600
= 1.7 x 1048 Joules
So the total energy for all shells would (at a guess) approach 2 x 1048 Joules.
This energy is some 47 times greater than the energy released by the
destruction of the Amagosa star. It is also more energy than is released
by every sun in our galaxy put together over some 1,700 years.
This raises the question of where this energy comes from; one would need to convert some 1 x 1031 kg of matter, equal to some five solar masses, totally to energy in order to generate just enough to collapse the outermost shell! Obviously the matter-antimatter reactor is not sufficient for this. Genesis may use some form of Zero Point energy, although this seems a little unlikely given that this technology appears to have been invented during the TNG era. I guess you would have to invoke some form of technobabble process (probably involving subspace) to explain it.
Star Trek et al is Copyright Paramount Pictures
1996/97.
No Copyright infringement is intended and this
page is for personal use only.
All of the above classes of star ships and all
of the
named ships are copyright Paramount 1996/97.