Humanly Traversable Wormholes
arxiv.org
arxiv.org
Has there been any serious (or at least semi-serious) thought given to this? I've perused some literature on wormholes, and it seems like even if you can somehow handwave away the GR energy conditions, the causality violations, etc., when talking about wormholes, everyone's always stuck on the issue of getting one to begin with. Do we know anything about whether the topology of spacetime can be changed?
https://arxiv.org/abs/1212.3000
> According to White, these results showed a vanishing but non-zero difference between charged and uncharged states after signal processing, but this difference remains inconclusive due to external interference and limits in the computational processing.
[1]: https://en.wikipedia.org/wiki/White%E2%80%93Juday_warp-field...
To use the proper topology related words... The presence of a wormhole would make a region of space time that contained both ends of that wormhole, non-homeomorphic with that same region of space time without the wormhole. A black hole would not affect how homeomorphic the two regions of space time are, therefore it’s not really a change in the “topology” of the space even if the black hole would definitely change the geometry of that space quite drastically.
As to naturally occurring wormhole, I don't think there is any accepted and likely ocurring phenomenon that creates a wormhole, let alone across galaxies.
So most likely, no.
https://www.wikiwand.com/en/Timelike_Infinity
His work generally uses this kind of extreme physics as plot devices and he's one of the best hard sf authors for this type of physics exploration.
Just build ‘em dormant A.I. probes, set ‘em off on their long lonely drifts, and let the magic of self-reproducing Von Neumann automata take hold once they arrive in a star system with suitable resources!
Perhaps a reason to invest in tech like neuralink? If we eventually merge with AI, perhaps each of those probes will ultimately feel like an appendage that is just slower to respond.
Perhaps a reason to invest in tech like neuralink? If we eventually merge with AI, perhaps each of those probes will ultimately feel like an appendage that is just slow to respond.
I have re read that dozens of times. It's a striking and powerful vision of a possible future.
I'd rather merge my consciousness with the probes and explore, something like this: http://www.skyhunter.com/marcs/GentleSeduction.html
If Moore’s Law doesn’t keep on going... well, then... perception of (very) swift travel it is... ;)
https://www.sciencedaily.com/releases/2019/10/191023135913.h...
> In the new paper, scientists write that if a wormhole does exist at Sagittarius A, nearby stars would be influenced by the gravity of stars at the other end of the passage. As a result, it would be possible to detect the presence of a wormhole by searching for small deviations in the expected orbit of stars near Sagittarius A.
I assume that would be a rather large worm hole, for us to detect the gravitational effects on stars that exist on the other side.
I wonder if there's any approach to detecting micro-wormholes closer to our own star? Perhaps by setting up tens of thousands of micro-satellites around (Starlink), blasting radio waves in all directions, and seeing which ones don't make it to the receiver?
Motivation: Can there be in-universe traversable wormholes which can never be time machines?
Caveat: no I have not studied GR, so if I’m asking the physics equivalent of a CompSci fresher asking how to pass the Turing test, tell me.
There was a paper(?) that noted that specific configurations of wormholes (basically tree shaped, no loops) do not allow time travel. I think it or another paper postulated some mechanism for wormholes collapsing if they violate that property.
Would the size of the wormhole actually affect the amount of gravity bleeding through? And how do we even define the size of a wormhole?
makes entirely too much sense. Altough, I still would question the validity of it, because in cases where there could be VASTLY different masses on the other end. So, the bleed through would only really give an indication of the gravity well on the other side.
All just from my knowledge which is VERY limited.
I'd imagine a unit people would use would be the gravitational force exerted by an object the size/mass of the sun located 1 AU away from the wormhole. Though I imagine there would be some more fundamental unit for measuring this kind of thing.
Edit: Here is the paper https://arxiv.org/abs/2004.14192. I misremembered it as a gravitational anomaly, but that is not completely inaccurate (it concerns the clustering of Kuiper belt orbits). The author (Ed Witten) proposes something similar to what you described for detecting the object.
/s (Sort of.. not really)
You can't have that all in a single star system.
Frankly I find that whole set up only slightly more plausible than some kind of FTL, especially since they also have gravity manipulation tech already.
That said recent talks about habitable zone around a black hole made me wonder if that would work.
Good point.
Perhaps in the far future there will be a Find a wormhole challenge where future human teenagers will dive their spaceships into a blackhole they think is in fact the entrance to a wormhoe and scream YOLO just before entering the event horizon.
Popular example: the wormhole in "Interstellar" was orbiting Jupiter.
There is a limit case [2] of the drainhole which doesn't gravitate, in the sense that the "attractive" end has vanishing attraction and the "repulsive" end has vanishing repulsion. The wormhole in "Interstellar" was based on that solution [3].
[1] https://en.wikipedia.org/wiki/Ellis_drainhole
Unless the energy requirements are lower, it sounds like this isn't much better than just traveling close to c (assuming you had adequate shielding).
Which, yes, in this case would send you back in time. No problems there; it isn't a causal loop.
To prevent this, the observed wormhole traversal time would need to be slightly faster than the speed of light, because then you also couldn't go back far enough to change something you already observed (assuming the "time" here is symmetrical to the time it takes going in the other direction).
However there are other problems: What happens when I have 2 matching wormhole pairs, each exit being located to the entry point of the other. If I step back through the exits again and again can I go back in time as far as I wish?
If you could treat the wormhole like a magic door that takes you across space, then two people looking at each other through the door wouldn't see anything unusual. One would be in the distant future, by the galaxy's clock, but not by the wormhole's.
So going through in one direction takes you into the future, and the other takes you into the past, but it's a constant offset. The size of the offset depends on how you moved the other end to where it is.
It's true that with multiple wormholes you could try to create a loop, though. That would probably fail due to virtual particular loops.
> [a] This also implies that they can not be converted into time machines
This doesn't seem like "classical" wormhole, right?
Wouldn’t it cause the core to collapse inwards though, as it would basically provide a “safety valve”-type release (though I presume if you were to place it on the edge of the fusing core, it would basically replace a patch of pre-existing surface area at the expense of convection and radiation pressure above taking a nose-dive).
What would happen is more complicated to answer if the wormhole stays open. The star would effectively have double the surface area, but apart from that, the consequences for the star's future development elude me right now.
Start with the Lagrangian and Hamiltonian formations of classical mechanics (Landau & Lifshitz - Mechanics). Then, study Quantum Mechanics (R Shankar - Quantum Mechanics). Statistical Physics while not key here, will be useful for building up an intuition (Landau & Lifshitz - Statistical Physics is good). Classical Field Theory, i.e. Electromagnetism should now be learned (J.D. Jackson).
Then, I'd recommend learning Calculus on Manifolds (Spivak) and Differential Geometry (I can't remember a good textbook on this right now).
If you're at this point you will now have a solid understanding of the maths needed to know GR and QFT. Zee has two good pedagogic books for these "Einstein Gravity in a Nutshell" and "QFT in a Nutshell". Once you know QFT, read a textbook on the standard model.
That'll get you most of the way there. Strictly speaking, you could do possibly learn a lot less to understand this paper, but to be able to pick and choose which parts of the above are actually needed would require a significant amount of work in itself.
https://www.elsevier.com/books/semi-riemannian-geometry-with...
Also Misner-Thorne-Wheeler and Wald's book on General Relativity.
One note on expectations - each of the domains you mentioned is typically an upper level undergraduate course (except for the first three). These courses usually progress at a rate of maybe 10 - 15 pages per week (~200 pages of a textbook covered in 16 weeks). It's genuinely hard to absorb this material in that amount of time, and unless you're exceptionally capable you should assume it will take you even longer under self-study.
If you proceed with doing this, make sure you work through at least a few of the exercises at the end of each chapter of each book, and try to compare your solutions against solutions you find online.
This is not to discourage anyone - studying all of this will probably be very rewarding! It's just a lot of work. It takes a massive amount of effort to get to the point where you can understand all the prerequisites needed to follow a research paper in modern math or physics.
Maybe. I'm just going by how all of these were taught during my undergrad. IIRC it doesn't cover metric spaces at all, but in fairness an introductory GR course will cover that; CoM will set up the mathematical context for you.
It is also horrifically difficult even for dedicated PhD students at top 50 physics programs.
Story time:
As an undergrad I had a TA that was in the astrophysics program. He told us a story of a final he had to take in his EM class, using Jackson, of course. The final was to present his solution, if any, to the PI. Pass or Fail. He went home and started work on the problem about three weeks before the due date. When his wife would go to work, he would be sitting at the kitchen table, when his wife came home, he was still at the table. For weeks straight. As the deadline got closer, he started sleeping less and working on the problem more. In the last few days, he stopped sleeping entirely. Eventually, he gave up on the problem and took the bus to campus to report on his failure and receive the Fail. Once his deprived mind relaxed on the bus, he had a Eureka moment and was able to solve the problem. Unfortunately, his sleep deprivation caused him to hallucinate. While presenting his hastily put together findings, he was trying to dodge imaginary bats, deal with imaginary blaring car horns, keep from falling asleep while standing, and present very nuanced and complex EM equations. After the presentation the PI said: "Pretty Okay", and passed him.
This is considered a slightly atypical end to a semester with Jackson.
Between that and the highly-abstract statistical physics course (it started with an introduction to differential forms), I learned more in my third year of college than in any other.
That said, I now work in IT.
I've got a couple additional suggestions/pieces of advice: First, if Calculus on Manifolds is too advanced Munkres's Analysis on Manifolds is very good and covers mostly the same material. Second if you are shaky on trigonometry it's worth taking a couple of days to relearn it since trig identities and manipulations are used all the time. It makes you feel a bit stupid to review stuff you probably learned in middle school but if you're like me and hadn't used this stuff in years the review will save you lots of time down the road. Third, get used to working problems. It's easy to fool yourself into thinking you understand something because you can follow the worked examples, but you can't actually apply it. I try to do at least a few exercises from each chapter. Shankar's QM book is awesome because the exercises are interspersed with the text, so doing them as you get to them really helps you understand the material. I wish more textbooks had this format.
Looking back, maybe I should also have added a group theory textbook.
> This is a really great list. I'm currently about midway through a very similar list that I arrived at through trial and error. It would've saved me a lot of time to have seen this a couple of years ago :).
Thanks, but I wouldn't have had the list a couple of years ago! I finished my undergrad in maths/physics about a year ago, so that's a rough compilation of the books I found most useful. Some were recommended by lecturers, others I found on my own.
If you go through a wormhole (Or just send information) you go faster than light (Ignoring Hollywood's incorrect movie Event Horizon where you just bend paper), so you go back in time.
So it's not possible.
Because you can kill you father (or something mathematical with information) which is a paradox.
End of story.
Like, it might apply on a "moving through local space faster than light" sense because physics is weird like that, but the whole idea behind wormholes is to shrink the actual distance traveled (from the traveler's point of view).
So, if you're at A, you can travel faster than the speed of light and arrive before B happens. Then, after B happens, you can travel back to before A happens.
The notion of what is simultaneous to what gets weird. If you and I are moving relative to each other, we're going to disagree on which distant events happen at the same time. If that happens, then whether something's happening now might change depending on reference frame. The ordering can be t(A) = t(B) or t(A) != t(B). Since no frame is privileged, we can also change the other way around, so t(A) != t(B) can be t(A) < t(B) or t(A) > t(B) depending on reference frame.
It's only flexible like that for things that could be simultaneous in some frame, which at least in special relativity means light from one can't have gotten to another yet. I never took general relativity, so who knows how it works in that setting.
https://en.wikipedia.org/wiki/Relativity_of_simultaneity#Tho...
Suppose you have a wormhole between points A and B. So from A to B - and from B to A - you can go by two different roads, one is pretty long (say, 1 light month), and another is very short (negligible distance).
Next, suppose B end swiftly rotates around point A, so fast that time in B goes slower than time in A. This means clock in B is going slower than in A, and over 20 years in A only 10 years will pass by clock in B. That can be confirmed by observation - telescopes in A will see slower clock in B, telescopes in B will see faster clock in A (it's B going around A, not vice versa).
That is, if we're talking about telescopes, looking through "regular" space. Since A and B are also connected by the wormhole, looking through wormhole will show us that clocks are synchronized. Over the wormhole, A and B are not moving, so clocks don't deviate from one another.
We can stop B flying around A now. Now suppose B clock has accumulated 10 years of difference from A clock - again, looking via "regular" space. We're leaving point A, flying to point B over the "regular" space and spending 5 years - way slower than speed of light, so our clock is practically synchronous to A clock. At the start of flight, A clock show 20 years, and B clock is 10 years, and by the end of flight A clock is 25 years and B clock is 15 years. After arriving at B, we jump into wormhole and get back to A, when A clock shows the same as B clock - that is, 15 years. According to A clock, we left at 20 years and came back at 15 years. Time travel.
Wormhole technology on a ship sent in a relativistic journey circling the solar system, used to bootstrap humanity and influence it in the past.
There is a catch, this sort of time travel like many others only allows one to go back as far as the creation of the wormhole. Sort of like in Primer, it isn't a general form of time travel. You can take the wormhole forward, or from the other end backwards, but not prior to the time it was created.
Both through telescope as through the wormhole, the clocks can be observed to go slower. After 20 years at A, both the telescope as observation through the wormhole show 10 years have passed at B.
If we don't stop B from spinning: The regular space traveler takes 5 years, as observed from A, to reach B, so reaches B at A:25 years, B:12,5 years. If they leave immediately after arrival, they'll end up again at A at A:30y, B:15y. Otoh, the wormhole travel leaves at A:20y ends up at B at 10y and gets back to A immediately: A still at 20y and B at 10y. Mixed travel:regular travel starts at A:20, B:10y, reaches B at A:25y, B:12,5 and jumps back through the wormhole at the same time as seen from A and B.
I've heard of FTL=time-travel a couple of years ago for the first time and I would love to be able to argue with someone knowledgeable about it to understand. I hoped this HN thread would have answers. However all the answers here seem to have holes in same.
I'm starting to wonder if FTL=time-travel isn't like Schrödinger's cat: a hypothetical thought experiment terribly misunderstood by the masses.
Can you please elaborate on that a bit more? That's the part I don't understand. Why would you observe synchronized clocks when looking through the wormhole?
> Why would you observe synchronized clocks when looking through the wormhole?
I think it's the same question as why we observe diverging clocks when looking via the "regular" space. Einstein provided answers to that - in "regular" space (that is, outside the wormhole - the space in wormhole is also space, with properties of space, including relativistic ones) we have accelerated motion, which is absolute and slows down clock in B, but not in A. In "wormhole space" we don't have that, so there is no reason to have, or observe, that difference. I think, other than entrance to the wormhole, you can't really say which of paths is "regular space" - the long one or through the wormhole, as you may argue that in fact A and B are close by, but they also have a wormhole with really long path - and the rest of the Universe - inside.
This allows different observers to reasonably disagree about which came first. Basic relativity.
Alice sees A happen before B. Bob sees B happen before A.
Everyone will agree that once they saw one event, it was too late to reach the other event before it happened, even at the speed of light.
But faster than light? Then you could get there before it happens.
> How can A come before B come before A from, from one observer?
An observer wouldn't see that.
What they might see is someone exiting a wormhole before they entered it.
Let's say Alice observes A, then wormholes over to cause B. And Bob sees B, then wormholes over to cause A.
Anyone watching from the outside will see a logical-seeming series of events: Alice and Bob exit wormholes and each cause an event. A "different" Alice and Bob watch the events and enter wormholes.
Some observers will see Alice exit before entering. Some will see Bob exit before entering. Some will see both. That's obviously weird. But they'll see nothing weird about A and B. A and B are perfectly normal.
We are talking about observers seeing wrong order (leaving the wormhole at point B before entering at point A), but that's because they are observing everything at a delay or something like that, but I don't see any time travel happening in this example or any order of flying through wormholes that I can come up with.
That means that when you analyze the whole system, A causes A. There is a time loop. You could easily make this into a paradox, too. What if Bob goes and prevents A instead? What if events A and B are actually the birth of Alice and Bob, and after they leave the wormhole they land on the other planet and become each other's parents?
that happens all the time. Lets set aside the Earth being curved for a moment - I'll use real cities but these could be asteroids floating in intergalactic space at the same distance.
I'm in London, I see an event happen in London, Moscow, New York and LA all at the same time, at 12:00:00.500 UTC according to me.
London-Moscow 9ms
London-NY 66ms
London-LA 103ms
Lets imagine they are in a straight line too and all in the same reference pane.The events actually occurred in the follow order, at the following milliseconds past 12:00:00 UTC, according to our NTP synced clocks.
LA: 397ms
NY: 434ms
Moscow: 491ms
London: 500ms
From LA's point of view they would see LA: 397ms
NY: 471ms
London: 603ms
Moscow: 603ms
From Moscow's POV
Moscow: 491ms
London: 509ms
NY: 509ms
LA: 509msFrom NY's POV LA: 434ms NY: 434ms London: 566ms Moscow: 566ms
So LA thinks LA was first, NY was second, London and Moscow co-timed third.
NY thinks LA and NY were co-timed first, then London and Moscow co-timed third.
Moscow thinks Moscow was first, everywhere else was second.
London thinks everywhere was first
So we disagree. So what.
Now sure, if your wormholes are in different reference frames you can get confusions, but why would a wormhole with two ends fixed in the same reference frame and neither end accelerating allow passing information backwards in time?
I know relativity says there is no universal clock everyone agrees on, but isn't that only applicable for points in different reference planes (and even then you can surely adjust if you know your relative velocity to the universal point)?
Back to cosmic scales. Point A, B, C, D, all 10 light years apart, same reference frame
Point A event happens at t+0
B sees at t+10, C and t+20, D at t+30.
D also has a wormhole to A, so sees the event in the wormhole at t+0, and causes a separate event (light up a sign saying "A event just happend")
C would see that D is flagging the event at t+10, but have to wait until t+20 to see it. Why is that bad?
How would D get a signal back to A before t+0. I guess a spaceship in a different reference frame (say v=0.99c) at D could see (old fashioned looking out the window) the "event just happened" message, then use a separate wormhole to send a message to a spaceship at A travelling in the same reference frame as spaceship D. Spaceship A could then light up a message, which planet A could see, but would planet A see that before t+0 on their local clock?
Wormhole from 1 light minute south of A, to 1 light minute south of B, travelling at 0.99c northwards according to the starbase reference frames, both ends in the same reference frame as each other, but in a different one to the starbases.
Everyone looks at A for the time, it says "time = 1200h" at A, B sees "time=1100h", C sees "time=1000h", D sees "time=900h", but they know the distance so can work out that it is currently 1200h, so all set their clocks, which run at the same time as they are in reference frames.
Event occurs at 1200h at starbase B. Event is seen at starbase A and C at 1300h.
How can you use the wormhole to pass information back in time. Assume both ends of each wormhole are in the same reference frame, but aren't changing reference frame (no acceleration)
If we arrange the starbases on the north-south line, I believe that the roaming wormhole would allow a ship to observe the event at starbase B, then jump through and pop out next to starbase A at roughly 1115h. (If that number is wrong, then adjust the wormhole velocity I guess.)
In this scenario, you can't violate causality. You're 100 light hours from B, and the A<->D wormhole is too far away to help.
But if you changed it so that B, C, and D are only 10 light hours from each other, you could then take the wormhole to D. Now it's roughly 1116h, and you're only 20 light hours from B. You can send a signal about the event at 1200h, and it will arrive at 1136h. You sent information back in time.
120h on the wall at starbase A
starbase B looks at starbase A, sees it's 110h, but the distance is 10h, so sets their clock to 120h
starbase C sees starbase B's clock as 110h but knows it's 10 light hours away and A as 100h and 20lh away, so sets their clock to 100+20h or 120h
starbase D also sets their clock at 120h
event occurs at 200h wall clock in starbase B
event is seen at 210h wall clock in starbase A, 210h in C, 220h in D
OK, your spaceship could tell starbase D the event has occured when it pops out at t=201h, but so what. How does starbase D get a message back to starbase B back before to get them to prevent the event from occuring?
But I can make something work with the new numbers. Here:
At 120h according to the starbases, everyone sets their clocks, just like you said.
Event occurs at 200h in starbase B.
A near-light-speed wormhole is passing by B and D in its own reference frame. As far as it can tell, the starbases have their clocks synced really badly. In this wormhole's reference frame, it's simultaneously "200h" at starbase B and "182h" at starbase D.
A messenger ship launches from B right after the event, goes through the wormhole, and lands on starbase D at 183h.
So far, we're paradox-free. We can tell D the results of the event before the light reaches them, but that's not new. People do that all the time with the normal wormhole. And since we're 20 light-hours away from B, any signal we send from here would arrive too late to affect anything.
But then the ship takes the normal wormhole, the one that's always connecting A and D. That wormhole always agrees with the clocks onboard the starbases. The ship enters at 183h, and exits at 183h, now at starbase A.
Then the ship sends a signal toward B. The signal arrives at B at 193h. This is the same location as the event, 7 hours before it happens.
> if you're at A, you can travel faster than the speed of light and arrive before B happens
But if we assume A and B happen "at the same time" and your frame of reference is closer to A than B right? As the light showing B happening is still traveling to the observer while A has already arrived.
If that's the case,
> Then, after B happens, you can travel back to before A happens.
Doesn't make sense, If the following happens:
> Traveler starts at A, jumps the wormhole to point B and immediately jumps back to A, arriving 10 seconds after leaving A.
The observer would see:
> Traveler starts at A, arrives back at A + 10 seconds and a while later, they are seen exiting and entering the wormhole at B while also being visible at A (Assuming they didn't do anything after exiting there)
> But if we assume A and B happen "at the same time"
Is something you can’t do in relativity. If you see A happen before B, at the same time as B, or after B, depends on your motion relative to A and B.
But yes, generally speaking, there is no known means to travel back in time before the moment of creation of the time machine itself.
You can look at the equations, but you will literally go back in time if you do this. This is simple I believe. Go there, go back, you've gone back in time, up to the SoL time slows then after it reverses. But you can't go 10 seconds to travel 10 light years, speed of light is absolute so no time travel for you.
People believe wormholes are a loop hole because they puncture space or something something Event Horizon.
This I also believe is untrue. Go through a wormhole, either it takes the equivalent of the speed of light to get there for the true distance, or it's not possible to send information through.
If it was simple then I wouldn't be asking.
> Go there, go back, you've gone back in time
How? If it takes me 10 seconds to travel 10 lightyears, then I should've gone forward in time by 10 seocnds, no matter if I'm measuring by my own frame of reference or an observer's (i.e. if it's my stopwatch v. an observer's stopwatch that's counting the seconds).
> But you can't go 10 seconds to travel 10 light years, speed of light is absolute
And it's never been adequately explained to me why that is.
My notion of simultaneity can be different from that somebody's. If they think event A and B are at the same time, I might think they're different. Waving hands, no frame is privileged, so I could think they're different as (A < B) if I'm moving this way, or (A > B) if I'm moving that way (relative to this person).
That means that the events this person thinks are simultaneous (you leaving and you arriving) can appear in either order to others depending on reference frame. It can look like you arrived when you left (same time), you arrived after you left, or you arrived before you left.
I'm on the lookout for an explanation of why FTL=time-travel that I'll finally understand. However in your blogpost my limited knowledge of Special relativity fails to make sense of the whole argument.
Say you had a faster than light transmitter that can send signals with (from your perspective) twice the speed of light (2c). If the receiver has no relative motion, everything seems to work fine. But if the receiver moves away from you fast enough (I think 0.5c should do it, but don't quote me on that one), then, from the receiver's perspective, the transmission will happen instantaneously. If the receiver moved even faster than that, the signal would seem to arrive before it had been sent(!), and if they had their own faster-than-light transmitter, they could relay the message back into the emitter's past.
Why? I mean, I get that time is progressing more slowly for the receiver because it's traveling at relativistic speeds, but instantaneous arrival of anything doesn't seem to follow from that, and therefore...
> If the receiver moved even faster than that, the signal would seem to arrive before it had been sent(!)
...neither does this.
Further, the whole point of wormholes (in the context of superluminal travel/communication) is that neither the signal nor the receiver is actually moving at relativistic speeds, but rather that the signal is instead taking a shorter path between two points in spacetime specifically to avoid having to move at such speeds from a local perspective.
A day before departing you look and you see your spacecraft in spacedock and, peering through a telescope, your two-year-old spacecraft in orbit around your destination. You’ve been watching it for a year already.
From your viewpoint prior to launch, there’s two of you, and the distant one is old.
EDIT: I’m wrong, and stand corrected. Relativity is so very slippery!
However, when you arrive at your destination, you can look back at Earth and see an image of yourself 1 year prior to your departure.
Also, in regard to your edit: this doesn’t really have anything to do with relativity. Newton would’ve come to the same conclusion.
As for the two images, it’s well covered on PBS Spacetime’s overview of the Alcubierre Drive from several years back that if a bystander were to observe a FTL craft traverse their field of view laterally, they’d indeed see two images, each heading in opposite directions, as you indeed allude to.
People also thought that time is universal and common for all places.
According to history of physics, theories usually have limits to their applicability. For relativity theory, currently known limits are in the presence of large gravity centers; but it doesn't mean that those are the only limits. Even putting aside elegant, in my view, proposals to circumvent speed limit, like Alcubierre drive, we don't know if this speed limit is "absolute". It's part of very well working theory, yes, but we don't know what we can learn yet.
You get into trouble if there are two wormholes like this that connect points in different reference frames. You could go through the first wormhole at (t=0, x=A) to (t=0, x=B), then the next wormhole at (t'=1, x=B) to (t'=1, x=A), where I'm using t' as the time in this second wormhole's frame. Even if (t=0, x=B) is before (t'=1, x=B) in all frames, there could be some t' frames where (t'=1, x=A) is before (t=0, x=A), letting you return before you left. But at least there's some scenario (only one wormhole exists) that doesn't have tricky causal implications.
And there are other setups where even going back in time isn't paradoxical. Take this viewpoint: You just can't kill your father when you go back. "It didn't happen" is the same as "It won't happen," so it's a non issue. If you go back and try to kill him, then instead of you succeeding, whatever happened will happen (which we already know wasn't your father dying). Mathematically, it's a loop. You can't continue forwards around a loop to get somewhere that isn't behind you. As a tautology, the only loop-containing solutions to the physical equations would be the ones containing self-consistent loops.