To start out with the tl:dr -- no, despite what you may have heard, physicists do not have a working model of a warp drive.
Look, no one would love it more than me if we did. I grew up on Star Trek and Star Wars, and the whole going-so-fast-the-stars-are-streaks thing is burned into my imagination. (So, of course, is the weird trope from Lost in Space that if you go faster than light, time runs backwards. I didn't say this stuff was all plausible.)
The Earth would be about the size of a grain of fine sand, and would be roughly a meter and a half away. Jupiter would be eleven times larger in diameter, and over five times farther away.
You ready? The closest star to the Sun, Proxima Centauri, would be a somewhat smaller marble, over four hundred kilometers away. So if the marble-Sun was located in my living room, here in upstate New York, the marble-Proxima-Centauri would be somewhere around Baltimore, Maryland.
Everything in between is empty space.
Here's another way to think about it. Voyager 1 -- the fastest human-made spacecraft ever created -- is traveling at about seventeen kilometers per second. Which seems really fast, until you find out that at that speed, to get to Proxima Centauri would take seventy thousand years, if it was heading that way, which it's not.
The way that they construct their so-called warp drive is that they postulate some curvature of spacetime and then postulate that it moves at a certain speed. They then calculate the required energy from that. That's their "engineering." They postulate a shape, which they then plot. The problem with this procedure is that it makes it entirely meaningless to say the warped space is a solution to Einstein's equations. You see, you can take any, and I mean literally any, spacetime with any curvature, moving or not, and put it into the equations, and then just read off the source and call that a "solution." The problem is that in general, there is no physically possible distribution of energies that gives you that source. And of course, their so-called warp drive still needs negative energies. Worse, they don't even mention the biggest problem with warp drives, which is that they still need to fulfill momentum conservation. If you accelerate something going that way, you need to throw out stuff the other way. This means that even with a warp drive, you still need a propulsion system.
So, much as I hate to say it, this paper doesn't even get us incrementally closer to solving the faster-than-light travel problem. We haven't discovered dilithium crystals or built warp field generators, or better still, seen any research by Zefram Cochrane.
So that's today's rather short and disappointing foray into space. Like I said, it's not that I'm happy about any of this. At the moment, if there was a warp drive invented that could take us to distant star systems, I'd be the first in line. For one thing, it'd be thrilling to see another planetary system close up. For another, I'd finally be far enough away from Donald Trump. But I'm afraid for now, we're stuck here on Earth, and probably will be for the foreseeable future.
Of course, I'm the same guy who told his students "adult tissue cloning is at least ten years in the future" exactly two weeks before Dolly the Sheep made headlines. And in this case, if I'm wrong, I'd be somewhere beyond delighted to eat my words.



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