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A Taxonomy of Time Travel

By Steven Lloyd Wilson | Posted Under Think Pieces | Comments (45)



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Scientists at CERN either made a mistake a few weeks ago in extremely complex calculations involving probability distributions, neutrinos, particle accelerators and other timey-whimey stuff, or they inadvertantly managed to make particles go faster than the speed of light. And as anyone who has studied relativity can attest, the equations say that means that stuff went back in time. It’s a neat result of the equations really, in which you notice that the term that calculates time dilation goes negative if you plug in a velocity greater than the speed of light. Of course, what’s easy to point out in an equation is a bit of a challenge in real life, what with it hypothetically taking infinite energy to accelerate anything with mass to that impossible speed limit. But even before Einstein’s work opened up the theoretical possibility of time travel, it’s been a fascination of fiction.

The problem is that while time travel is an inherently fascinating component of a story, it is also a complex enough phenomenon that it often fails to retain any sort of logical consistency, falling apart upon closer examination. Time travel in fiction thus falls into a few loose categories. It’s unclear yet whether it does in non-fiction, but I’ll let you know if CERN gives us any updates.

There is of course what is simplest to dub as time travel for idiots. Back to the Future is a perfect example, and one painful to accuse given that as a fun story it just works so well. But it fundamentally cannot get a handle on the notion that cause and effect happen in a certain order. Go back, make a change, return to find the world different. It seems basically right except for two trip-ups. The fading photograph (and eventually fading Marty) is the worst offender that makes for a clever story mechanism but breaks temporal logic. Setting aside all of the other clutter and contradiction consider it in its simplest terms. The photograph taken back in time now exists before it was taken. Changing circumstances such that the photograph was not taken cannot change the photograph because that would make an effect appear before the cause.

Then there is time travel that works on a slightly smarter level, by at least appreciating the consistency of cause and effect. These are the most common stories: go back, change something, return to find the world different. I read a short story once that operated on this principle and proposed that the greatest crime was changing the past, because while you might have saved six million by killing Hitler as a baby, you murdered an infinite number of lives in the destroyed time line. But this of course sets up the paradox. If you go back in time and create a world in which you were never born, how do you exist? A paradox, you suggest? These stories are just smart enough to understand that effect must follow cause, but are not quite able to work out the math to a proper result. We’ll return to this in a moment.

As a slight aside at this point, we should bring the many worlds hypothesis into play. The many worlds hypothesis is a loophole sometimes used to make the logical problems with the above setups resolve themselves. It posits that for every possible event, the universe branches into multiple universes, creating an infinite number of universes in which every thing that ever could happen, did happen. This allows story writers to get away with egregious offenses against the logic of cause and effect by merely waving a magic wand and declaring that the characters are now in a universe in which such and such did or did not happen. Go back in time and kill Hitler as a baby? The reason that you remember a future in which he lived is because you were in one time stream, but now that you changed the past you are in a different parallel stream.

While the many worlds hypothesis has the appeal of at least being logically consistent, it has a glaring problem. It’s a brute force hammer of solving the problem, like multiplying by zero to demonstrate both sides of the equation are equal. It’s just plain inelegant. But it also has the story flaw of essentially rendering time travel moot. If anything that can happen, has happened in an alternate timeline, then the actions of the characters do not matter one bit. Going back in time and killing Hitler as a baby doesn’t change anything, because there is still an original timeline in which he doesn’t die.

The gold standard of time travel stories is the construction of a four-dimensional knot. They are relatively rare, with Heinlein’s All You Zombies taking the ultimate prize, and various “Twilight Zone” episodes sneaking into that territory as well. “Futurama” has also pulled it off multiple times. The key is in realizing that while it is possible to go back in time and change the past, there is no apparent change because you are already living in a world with that change as part of its timeline. Want to kill Hitler as a baby? You already failed. It’s not that there’s a lack of free will, or that changing the past is impossible, it’s that you already did it. Or in other words, a proper time travel story has no paradoxes because working the math through, the remainders cancel out.

It is possible to go back in time and become your own grandfather, but only if you accept that you’ve already done so. Tying a knot in three dimensions is incomprehensible in two dimensions, the end result is an impossible construction when viewed by someone in a two-dimensional world. What we see as paradoxes in time travel are the knot in four dimensions.

Steven Lloyd Wilson is a hopeless romantic and the last scion of Norse warriors and the forbidden elder gods. His novel, ramblings, and assorted fictions coalesce at www.burningviolin.com. You can email him here.









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Comments

I feel smarter having read this. And also stupider.
Now there's a paradox!

Posted by: Odnon. at October 5, 2011 3:14 PM

Maybe it's simply NOT possible to back in time, only forward?

Posted by: OldSchool60 at October 5, 2011 3:19 PM

well, damn.

Posted by: gp at October 5, 2011 3:19 PM

...also, I'd include the Star Trek Voyager two part episode 'Year of Hell'

Posted by: OldSchool60 at October 5, 2011 3:26 PM

Back to the Future also breaks logic in Part II when Marty travels into the future and sees his older self. If you travel into the future, you would be seeing a future without you in it (because you just up and vanished back in your time to make the trip). What's interesting is in Part I they follow this rule correctly: Doc first demonstrates time travel by sending Einstein one minute into the future. Einstein vanishes and when he reappears one minute later he doesn't see a future version of himself, that is, there is still just one Einstein.

Posted by: Dean Machine at October 5, 2011 3:36 PM

"...you would be seeing a future without you in it..."

Nope.
In the future, 1980s you has already returned to 1980, then aged into future you.

Einstein never travels backward.

Consider: If Einstein travelled one minute into the future, then travelled back to his point of origin.

Einstein gets into the Delorean, travels one minute into the future, hops out to see another Einstein who has already travelled one minute into his own future, then traveled back to when he left.
They sniff each other's butts, then our Einstein hops back into the Delorean, travels back one minute to where he started, then hops out. He waits around for 60 seconds, and another Einstein appears (poof) to come sniff hello, then leaves (poof).

Posted by: Scott at October 5, 2011 3:58 PM

Most time travel stories might be bollocks in their logic, but it's still such a fun premise with so many possibilities.

12 Monkeys does a nice job with the "four-dimensional knot."

One sci-fi story I really dug was a relatively recent Arthur C. Clarke collaboration called The Light Of Other Days. Time travel was not possible in this universe, but it was possible to create wormhole viewers such that you could observe any place and time from the present. They do some neat things with the implications of that invention: accountability, privacy, and crime become much different with the knowledge that anyone in the future could be looking over your shoulder later.

Posted by: DarthCorleone at October 5, 2011 3:59 PM

Back to the Future also breaks logic in Part II when Marty travels into the future and sees his older self. If you travel into the future, you would be seeing a future without you in it (because you just up and vanished back in your time to make the trip).

Well, fuck, let the geek fight begin...

Dean Machine,
I don't think that's a problem. If Marty traveled into the future, and then traveled back to the present, then he would exist in the "future" (which would, uh, become the present?). Why wouldn't the time traveling Marty see himself in that future?

I think the biggest problem with Back to the Future (that's feel icky to say) isn't time paradoxes, but Doc's feelings about time travel. Saving himself by reading Marty's letter makes sense to me. That temptation would be pretty great. But he's usually all, "Time travel is too dangerous!". And then at the end of the first film he changes to, "Marty, we gotta go meddle with the future to save your kid from some jail time!".

Or maybe the biggest problem is that there is no fucking way that Marty would grow up to be a loser, car crash or no car crash. Plus, little know fact: he has access to a time machine.

Finally, no mention of Primer? For shame...

Posted by: pissant at October 5, 2011 4:07 PM

While I'm not making any claims to its adherence over the entire run of the show, "Blink" from "Doctor Who" is a fantastic story as well as a great illustration of the 4D knot.

Posted by: branded at October 5, 2011 4:20 PM

This is why the only "Terminator" movie that counts is the first one. All others, including "Terminator 2" suck balls.

(Especially "Terminator 2" because of that stupid dying thumbs up performed by the Schwartenbagger's newly found i'm a hero ego that couldn't take being cast as a villain in a second movie because of how it might affect his marketability.)

Posted by: Darth Darko at October 5, 2011 4:21 PM

I'd like to interrupt this nerd-fest to say...

It was the mindblowing comment thread on the Hot Tub Time Machine review that first introduced me to this website and made me fall in love with (most) commenters here. As of late, I've kinda gotten over y'all. But if this thread is gonna be anything like the thread of yore, then commence to re-lighting my fire.

As you were...

Posted by: Rest In Peace at October 5, 2011 4:21 PM

So while Marty would be able to see a version of himself in the future, the version he sees assumes he had not gone into the future, learned about his fate, and changed it. The moment he goes into the future, everything he chooses to do in the relative past will now be different. I'm not sure how he could see this version of himself and not the supposedly better Marty that came about because of time travel.

I'm now going to have to start mapping out the timelines starting with Doc Brown going into the future. I'll get back to you with the results. (I probably won't.)

Posted by: Socrates_Johnson at October 5, 2011 4:24 PM

Me too, what Pissant said about "Primer".

Posted by: NeoCleo at October 5, 2011 4:28 PM

True dat, pissant. 'Primer' is the gold-standard of time travel films.

What I cannot understand is the appeal of making time travel films that ignore the very things that make time travel entertaining. I hated 'Back To The Future' when it came out, if only because it went out of its way to avoid the complications that would make it a good film. That's either lazy writing or fear that the audience might not want to have to think.

Posted by: greg at October 5, 2011 4:29 PM

I think about this constantly, and it's a major facet of my quite a bit of my writing. I'm of the mind that all time travel theories are as equally legitimate as any other, because they're all equally illegitimate; most likely impossible. But they can make for rollicking good fiction.

The comic we worked on for 24 Hour Comics Day is almost entirely about this internal debate. It's unfinished, but about a quarter of it is available on my website. Click my name if you're interested. This concludes my shameless self-promotion of the day. Thank you.

Posted by: RobP at October 5, 2011 4:33 PM

I'm going to briefly climb up on my standard time travel soapbox. Time travel involves space travel by default. I assume if someone can figure out how to time travel they can move in space accurately, but read some Spider Robinson if you want to know how it can go wrong.
I also thought the idea of parallel timestreams explained the lack of paradox-you come back to another reality just that much changed from the reality you left. There is a timestream where Jennifer Anniston stayed with Brad Pitt, and there is a timestream where lizard based creatures rather than mammals developed larger brains. Large and small changes all.

Posted by: Mrcreosote at October 5, 2011 4:44 PM

Remember...no matter where you go, there you are.

Posted by: PissBoy at October 5, 2011 4:44 PM

To you primitives trying to figure out how time travel works, may I say you are in the same boat as your forefathers who tried to figure out how many chickens they should take along during their hot-air ballon ride to the Moon. It just doesn't work the way you think it does. Now excuse me, I need to go dwark my vezil before it gets cold.

Posted by: Your Many-times Greatgrandson at October 5, 2011 4:45 PM

Time travel involves space travel by default. I assume if someone can figure out how to time travel they can move in space accurately

Thank you for saying that. I can't stand it when someone bitches about that. As if they can let their mind accept that someone figured out how to travel instantaneously through the fourth dimension but couldn't figure out those pesky first three.

Of course, Primer involves time travel without space travel, but it gets it right.

Posted by: pissant at October 5, 2011 4:48 PM

Socrates_Johnson...if you remember correctly, Marty never sees himself in the future. he just knows a couple basic, glossed over facts. He's alive. He married Jennifer. They have kids. Lives in Hilldale. He has no idea Hilldale is now a ghetto, nor that he is a failure working in a factory or whatever it is. And Jennnifer never gets the chance to tell him about it. So, when he goes back to 1985, he continues on down the "I'm gonna be a loser" timeline until Jennifer realizes they just avoided the accident that she heard Loraine speaking about in the future. Dun dun dun! The things we think we remember.

Posted by: PissBoy at October 5, 2011 4:53 PM

This is why the only "Terminator" movie that counts is the first one. All others, including "Terminator 2" suck balls.

Posted by: Darth Darko at October 5, 2011 4:21 PM

I concur.

You, Sir, speak the truth.

Posted by: Ballymena Bob at October 5, 2011 5:24 PM

So, I'm not throwing my hat into the nerd fight because I'll lose. I also cannot find fault with said nerd rage because I do the same thing with medicine.

I can, however, say that the people bashing T2 are obviously bad people. Terrible people that need Jesus. Or antidepressants. Some sort of Jesus made of Prozac. We'll call him "Jezac."

You people need Jezac.

Posted by: ZombieMedic at October 5, 2011 7:09 PM

We can tell that time travel will never exist because we are still here.

Posted by: Malware at October 5, 2011 7:46 PM

But it also has the story flaw of essentially rendering time travel moot. If anything that can happen, has happened in an alternate timeline, then the actions of the characters do not matter one bit.

This pre-supposes that the point of any story about time travel is going back and changing something to alter the future. In something like "Timeline" (the book, not the movie), time travel hinges on the many worlds hypothesis. But the central conflict of the story is not whether or not the characters can alter the future, but whether or not they can ever get back to their own time (or world). In this instance, the 'story flaw' mentioned above doesn't exist, and the actions of the characters still matter a great deal.

Posted by: nickleby at October 5, 2011 8:27 PM

(Especially "Terminator 2" because of that stupid dying thumbs up performed by the Schwartenbagger's newly found i'm a hero ego that couldn't take being cast as a villain in a second movie because of how it might affect his marketability.)

As often happens, someone's comment sends me on a Wikipedia bender. The wikipedians claim that the original story had Skynet somehow cloning Kyle Reese's body and using it for a new terminator. So, switching Arnold's role from the villain to the hero may not have been about Arnold worrying about his marketability.

Posted by: pissant at October 5, 2011 9:00 PM

We can tell that time travel will never exist because we are still here.

There are many flaws in that statement, but it could be simply that time travelers (as we understand it) exist among us right now but don't reveal their existence for some unknown reason.

Posted by: pissant at October 5, 2011 9:03 PM

oh what would i do if i had a time machine i would take a bunch of aatheist back in time to meet the real Jesus and Adam and Eve. then find out when judgement day will be

Posted by: Utah Dynamo at October 5, 2011 9:11 PM

Just remember kids, there's only one rule of time travel you really need to remember:
"The clock is always running in San Dimas"

Posted by: Blake Shrapnel at October 5, 2011 9:22 PM

It’s a neat result of the equations really, in which you notice that the term that calculates time dilation goes negative if you plug in a velocity greater than the speed of light.

I was a physics major so I just want to bust out the geekiness here and point out that actually it has nothing to do with the time dilation equation, in fact if you try to use the time dilation equation you get the weird conclusion that time dilation becomes imaginary (as in, multiple of the square root of -1) at faster-than-light velocities, not negative. The real reasons that faster-than-light leads to time travel in relativity are explained pretty well in this section of the time travel wikipedia article.

Posted by: Jesse M. at October 5, 2011 10:31 PM

One of the more insulting things about one of the later seasons of "Heroes" was when they had the future versions come back to the present to do something. It didn't happen the way they planned, or they messed something up. And everyone freaked out trying to fix it.
The very idea of that concept nullifies itself. Because if they messed something up somehow and were already time-travelling, they could just go back to their present and then travel back to before the mistake happened to fix it.
Or...you know...much earlier to avoid such last-minute dramatics.

Posted by: robert raymond at October 5, 2011 10:35 PM

Blake Shrapnel beat me to it.
But yeah.
I've always thought Bill and Ted's Excellent Adventure was a pretty tight time-travel narrative.

Posted by: Scott at October 5, 2011 11:15 PM

It is possible to go back in time and become your own grandfather ...
---
It's much easier than that:

www.youtube.com/watch?v=eYlJH81dSiw

Posted by: , at October 6, 2011 1:44 AM

I like many worlds. It's good for existentialism. Sure, you may have accomplished nothing for existence by killing Hitler in one timeline and leaving him alive in the rest, but you have accomplished something for yourself. Now you're the guy who killed Hitler living in a world where you're the guy who killed Hitler.

And it gets into the idea of what is or isn't possible. Say you've got a character with cerebral palsy. It's likely impossible that he'll ever be a professional basketball player. Now you could jump back further and have him be born without cerebral palsy, or have his parents be born without carrier genes and shit, but for that character, CP Guy as he is, the NBA is out of the question. So it helps you define characters and the limits of their freedom.

Take that to a psychological level and you've got a real game. What about a bloodthirsty character with a powerful conscience and natural empathy? You might say there's a universe where he's a cold-blooded assassin, but maybe that's impossible for him. Maybe he feels it too much when he hurts people.

Posted by: Lucas at October 6, 2011 4:45 AM

Yeah, yeah, yeah, but remember when Superman flew around the world and got its axis spinning BACKWARDS so he could save Lois Lane? Is someone going to tell me that THAT'S impossible?

Posted by: Forward Observer at October 6, 2011 9:24 AM

The attachment of time and light always seemed to me to be a fatal flaw in thinking, math be damned. It's like a giant Schroedinger's Cat thing. If we don't witness the universe pass us by in lockstep time, it didn't happen? Or our little bubble of space/time can be changed because we move faster than light can illustrate it to our fleshy eyeballs?

Always seemed to me that the "constant" in the equation should be the speed of the procession of time, not the speed of the rays and waves that simply illuminate that time.

I certainly don't know enough physics to back anything up. Just my gut reaction.

Posted by: Protoguy at October 6, 2011 9:45 AM

One more vote for "Primer."

Timecrimes was also pretty fun, but I think they skipped a few steps in favor of forcing things to fall into place. Interesting idea, frustrating execution.

Posted by: Markus at October 6, 2011 10:12 AM

"The clock is always running in San Dimas"

What the fuck does that even mean? They have a time machine. Fuck the clock in San Dimas. I've always wanted them to say, "Sure thing, Rufus. But, if we miss the deadline for our report, uh...well, we'll just use this time machine you just gave us to go back in time to before the deadline." I repeat: They have a time machine.

Posted by: pissant at October 6, 2011 10:18 AM

Thank you Mr. Wilson... a thought-provoking, elegant read as always.

Posted by: brite at October 6, 2011 10:33 AM

I want a Transmogrofier, but I'd probably just fuck things up like Calvin does.

Posted by: , at October 6, 2011 11:09 AM

Tight time travel is right. Have you ever been stuck in a phone both with 9 other people, only one of whom is a chick? Not fun. History is a total sausage fest.

Posted by: Socrates_Johnson at October 6, 2011 11:44 AM

re: Marty

(Disclaimer: This does not affect my enjoyment of the movie whatsoever. I just like debating nerdy details like this.)
I still don't think anyone should see loser Marty in the future. The Marty Jennifer sees still assumes he never made his trip into the future and learned his lesson about being less hot-headed. Maybe it just that for Marty, Doc and Jennifer the future won't start changing until they go back and start doing it? I'm not sure. I just know the more I think about it, the less clear it becomes.

Posted by: Socrates_Johnson at October 6, 2011 11:51 AM

Ok so here's my little beef with the average time travel story. back to the future is the pefect example. So the Delorean hits 88 miles per hour. It's suddenly trasported to the exact same place at a different point in space time. Here's where the logic fails. Planets move. If Marty went back to 1955 the Earth itself would be in a completely different place. Marty would be stuck in a frozen Delorean floating in space. Right?

Posted by: Blank at October 6, 2011 3:16 PM

Blank,
See Mrcreosote's comment above. i think he's on the right track.

Pissant,
i always read that as a word of warning not to fuck up their lifespan. Like if you spent 30 years vacationing throughout time, then returned to the moment you left, then relative to the rest of the universe you'd have lost 30 years... aged 30 years in an instant.
If you "kept the clock running" in San Dimas, then you'd return home 30 years after you left. (now, even though you aged during some other time, you are the correct age for your home, your friends, your family, the universe... a future timeline dependent on you, etc.)
Or...
Another way of thinking about it; the future was all about being "excellent to each other." Rufus didn't want them to cheat on their presentation. With the clock always running in San Dimas, they had the same amount of time to prepare as their classmates.

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I'm a little in love with , now. Y'all keep this going!

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