Hi. I'm new here, as my post count likely indicates, but I've been lurking on these forums for a month or so now, and read the articles pretty well. I had a random idea a minute or so ago.
Is there any reason why the Epoch/Neo Epoch couldn't be a machine capable of travelling at highly relativistic/superluminal speeds? I mean, traveling at .999999999999c or something would allow for relativly quick transit through time forward, and I seem to recall a theroy that superluminal particles like tachyons could theoretically move backwards in time.
Granted, this doesn't explain why Epoch can only go to certain places in time (though I think that's supposition) or how it gets to the End of time, but it was more of a wacky mental exercise than anything serious.
Comments? Discussion? Pipe bombs?
EDIT: Okay, assuming the big rip cosmological theroy, the universe will end in a finite amount of time. A pretty short finite amount of time compared to waiting for a Big Crunch or thermodynamic death. So let's say the End of Time exists after the universe is gravatationally unbound. Then...
Assuming a speed of 0.999999999c, and w=-1.5 (so the universe ends about 20 billion years from now)...
T(observed by outside factor) = T(observed by moving factor) / sqrt(1-(v^2/c^2))
T(outside) = T(moving) / sqrt(1-0.999999998000000001)
20,000,000,000 = T(moving) / sqrt (0.000000001999999999)
2.0 * 10^10 = T(moving) / 4.4721359538815454039286982406293e-5
T(moving) = 894427.1907763090807857396481258 years to get to the End of Time
...no, that's not going to work. Let's see how fast it would have to go to shorten travel time to half an hour(5.7077625570776255707762557077626e-5 years)--still unrealistic, but then you can make the time as arbitrarily short as you want as long as your calculator can handle that many sig figs...
2.0 * 10^10 = (5.7077625570776255707762557077626e-5) / sqrt(1-C^2), where C = fraction of the speed of light.
sqrt(1-C^2) = 2.853881278538812785388127853881e-15
1-C^2 = 8.1446383519943287254227393090203e-30
C^2 = 0.99999999999999999999999999999186
C = 0.9999999999999999999999999999955c
That's pretty darn fast. I'm not even going to try to calculate the amount of energy you'd need to go that fast (zero-point energy, anyone? But I personally think that the free-field quantum field theroy calculation is bunk.) or how you're supposed to survive that kind of acceleration, but the potential is there.