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*To*: starship-design@lists.uoregon.edu*Subject*: Re: [Fwd: starship-design: re: so you want to go faster than light . . .]*From*: STAR1SHIP@aol.com*Date*: Tue, 25 Jul 2000 16:54:11 EDT*Reply-To*: STAR1SHIP@aol.com*Sender*: owner-starship-design@lists.uoregon.edu

> > > You logic fails at that point with graphical analyisis of the E rel. > curve > > on > > > mass, velocity or a graphs x,y axis. You do see clearly the curve as it > > > aproaches the c asomtope. > > > Now if you graph the Ereal curve you will find it a first order linear > > curve. > > > (straight line is in set of all curves). That second graphed line on > the > > > same set of axis, extends from the origin through the c asomtope to > > > velocities greater than c. The first graph is of energy delivered from > a > > rest > > > frame to a moving object like a partical accelerator and the second is > of > > > energy delivered from the moving object or the inertial frame of > reference > > > like an atomic rocket. Posted with curtises permission-tom. >From Curtis > > What you seem to be saying is that the rocket pilot sees E real (the > linear > > graph) and has all the fuel he needs to surpass c by a simple steady > > acceleration, while the Earth observer sees the E rel graph and thinks > you' > > ll > > never make it. Is this what you meant to say? If so, it implies that the > > pilot > > could accelerate _beyond_ c and not even know he'd done it, while the > Earth > > observer would simply see the rocket vanish, as though it had suddenly > > jumped > > across that tiny gap between the asymptotic curve and the ideal limit. > > Curtis > You have an excellent understanding of what does occur ;-). > > > It > > seems > > somehow inconsistent . . . > > Consider then negative velocities where though an observer light is > traveling from the c or >c rocket to the earth observer at light speed. > Relative to earth the light is traveling away from the earth at light speed > or obtaining a negative velocity. Light traveling towards the eath and away > from the earth at the same time is not inconsistant. It is from the two > frames (wrt ship, wrt earth) by which it is observed, as a basic postulate of > relativity validating both frames. > > Your next step in understanding is to break the negative velocity down to > distance traveled/time and place the negative sign in front of time. Distance > traveled(D) is a vector without direction. Time is a scaler vector having > both direction and magnitude designated in this case by the negative > direction sign for -180 degrees and a magnitude of c to >c value. Do not > confuse direction with the temporary Length(L) variable of special > relativitey for that forshortning occurs on board the moving ship seen only > in the earth observer eye. > > From there it is simple to see that the rocket returning to earth after near > light speed trip returns to earths distant future. At c and greater > velocities he returns to his anchient relativites on earth finding them much > younger than he calculated at sub light speed. The negative time variable > does not allow him to travel backward in time as the earth twin is still > older than when the rocketman twin left. > > As time does flow forward and not backward. At sub light speed the rocket > man can observe his distant twin as he was some years ago as a function of > the time it takes observer light to reach the ship allowing one to "see" > backwards in time like we do presently with distant stars. At velocities c > and greater wrt earth no observation backward in time is possible from either > frame of reference. > > It is indeed possible to calculate with negative velocites and time just how > much younger the earth twin would be on returning compared to his older > advanced age; calculated from sub but near c velocities after the rocket man > returns compared to his c or > c trip returning. Time travel then is not > observable except at sub light velocities but calculatable all velocities (>c, > c,>c), although the effects are observable when both frames of reference > coincide when rocket man returns to his earth twin or his ancient twins bones > as the case may be. > > True grist for your sci.faction novel. > > Tom > > Tom > > This is simple analytic geometry and requires no calculus.

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