On Thu, Nov 14, 2013 at 8:44 AM, David Roberson <[email protected]> wrote:


> After a modest period of time, we calculate that our super rocket engine
> which uses anti matter as fuel and attached ship, has reached a calculated
> velocity of 10 times the speed of light.  This number is calculated by
> integrating the acceleration that we can easily measure in the reference
> frame around our ship that is also constantly accelerating.
>

I'm going to guess that the assumption that one can integrate acceleration
from the reference frame over time and get a speed greater than that of
light is inconsistent with relativity.  One possible resolution here is
that if one is approaching that close to the speed of light, from the
reference frame the rocket pilot with his foot on the gas pedal would
perceive a steady increase in speed, but the observer would see time
slowing down for him to the point of almost stopping.  The rocket pilot
would not perceive this to be happening so he would be happy with his
steady approach towards light speed, and be quite proud of himself on the
progress he's making.

I suppose that if faster-than-light travel is possible, it will have to
involve a big discontinuity of some kind, so that the whole reference
frame/observer frame question from relativity would not apply.  In that
context I wonder what the pilot of the ship fitted with an Alcubierre drive
would perceive.

Eric

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