Was Star Trek’s “Time Warp” ever developed past episode one of the TOS?

Question

I consider myself a Trekkie and I have seen pretty much every episode there is to watch at least once. That was a long time ago, and my memory is hazy but I seem to recall that in the first episode of the original Star Trek, they referred not to “Warp Travel,” but rather “Time Warp.” Was this concept elaborated upon at all?

I’m not talking about the motion pictures with the Borg or the whales. The idea I got in my head was they were altering the rate of time in order to travel vast distances without aging. This was some time ago. I may be recalling the episode improperly.

Answer 1

As you are talking about the original series and more specifically the original pilot I fear it is mostly another word used for warp speed which was later on dropped. That pilot had many concepts and things that were never seen again in the later series like lamps like appendages on the navigation controls, .... and from the whole cast only spock and the female who was the first officer in the pilot (the actress Majel Barrett who became the nurse Christine Chapel in the series) made it into the series itself.

Additionally to build onto that at least in the german translation warp speed was in some of the first episodes called sol speed instead. So I take it that the word warp speed was only developed later on during the series and evolved from the earlier words because it sounds cooler and more scifi like (so to say the word for warpspeed was "retconned" a few times inside the series by just using a new word for it from one episode to the other until "engage warp speed" was used [sry if the word is not 100% correct its a bit hard to translate correctly from german to english as I'm not exactly sure about the exact english phrase there]).

Also to add a bit onto "Time warp" I asked a few questions about the episode in question AS in a few episodes the enterprise itself really did a time warp (I know 2 episodes where it happens at least). Not sure if it is referenced as time warp there or not. This time warping happens when they slingshot around the sun / fly into a supernova like sun (in at least one of them they say they are traveling at sol speed thus this was one of the episodes where warp speed still was not fixated as the word for their FTL speed travels). That is why I asked to find out if you meant any of these 2 episodes or another one where just the word warp speed was not yet fixated as the word for their faster than light speed.

Answer 2

In "The Cage" and "Menagerie" Pike specifically tells the crew "Time Warp Factor" instead of "warp factor". Possibly it was shortened to plain warp factor by the series.

In "The Cage" and "Menagerie" Lt. Tyler also says that the "time barrier" has been broken and new ships are faster. Thus it would seem that the "space warp" discovered by Cochrane ("Metamorphosis") was used in the original warp drive but newer warp drive also has a "time Warp".

Thus in "Where NO Man Has Gone Before" the "space warp" engines of the Enterprise were disabled and the ship was traveling much slower, but it apparently was still traveling faster than light since it traveled several light days in less than one day of ship time, apparently still being able to use the "time warp".

I repeat that in "Where NO Man Has Gone Before" the "space Warp" was disabled but it seems certain that the Enterprise was still able to use the "time warp" generators to either ONE) travel several light days at faster than light speeds or to TWO) travel several light days at slower than light speeds but slow down the passage of time aboard so that less than a single day passed aboard.

This "time warp" ability explains how doing something new with the engines sent the Enterprise back in time in "The Naked Time".