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by asxd 1626 days ago
Always blows my mind that because light travels through space, you can literally see into the past. Imagine, way way down the line, eventually meeting a civilization from a far away planet, and they could potentially show you actual photographs of Pangaea.
3 comments

How big would the telescope need to be to be able to produce high-res images of Earth from a distance of 200M+ light years away?

I realize that a civilization could be 50M light years away and witness Pangea, but the idea of a civilization 50M light years away observing Pangea and then persisting data for 150M years presents it’s own challenges.

Check out my reply to a sibling comment. TLDR: huge
More than Pangea… if they mastered the ability to resolve vast distances they could show us the herds of dinosaurs roaming the world, and then their total extinction, a Timelapse of the rise of human civilization, ancient Egypt and the Roman Empire, if only we could truly meet a civilization way down the line, or perhaps they would come to meet us, given their obsession.
It's cool to think that first contact between two space-faring civilizations could potentially involve a mutual exchange of detailed historical imagery that neither civilization could have captured on their own.
Indeed, though it’s probably likely in the history of the universe this has never happened, as what are the odds of two distant civilizations separated by many light years meeting and both offering historial imagery to each other? The chance to capture relevant images will have passed if they do not specifically plan for it.
Probably unlikely, yeah. It would have to be the result of several lucky and serendipitous events, I'm sure. The idea of seeing into the past seems so other-worldly though, it's hard not to dream :-)
Perhaps if there is a large reflector in space somewhere, that light could be passing back by us today! If we had a large enough collector, we could create an image.
In theory black holes could do that. Some photons will slingshot around it and go straight back.
We haven't seen a photon ring yet, and when we do, there won't be that much information in them. Perhaps after technology has advanced another 1000X...
Unfortunately, that is not possible. Earth isn't a star and not big enough to provide this much data even outside of our Solar System, let alone millions of light years away.
To add some back of the napkin calculations to this:

Angular resolution of the earth at 66 million light years away would be approximately 2e-17 radians. Using the Raleigh Criterion [0] for lens size for the visible light spectrum (700nm for the best case scenario), you would need a lens with a diameter of about 4e10 meters. That's about the radius of Mercury's orbit around the sun.

If you want to see dinosaurs, say 1m resolution, that's about 1.5e-24 radians at 66M light years, needing a lens of diameter 5E17. The entire solar system has a diameter of ~3e14. So even if your lens was the size of the solar system you'd still be off by a factor of 1000 trying to resolve the dinosaurs.

At these scales you start running into some pretty fundamental engineering and physics problems with building a telescope this big.

Warning: this math may not be totally right, I'm just procrastinating some PDE homework right now, but the scales should be roughly correct.

[0] https://en.wikipedia.org/wiki/Angular_resolution#The_Rayleig...

> you would need a lens with a diameter of about 4e10 meters.

Probably a mirror rather than a lens. And actually all you need is two mirrors separated by 4e10 meters, not a single mirror of that diameter:

https://en.wikipedia.org/wiki/Astronomical_interferometer

The problem would be the amount of signal you can collect. Might be interesting to do a calculation of the number of photons that would be detectable at that distance per unit solid angle to figure out roughly how big the mirrors would have to be to capture an image in a reasonable amount of time.

> So even if your lens was the size of the solar system you'd still be off by a factor of 1000 trying to resolve the dinosaurs.

What's the effective size of a gravity lens? You know, the kind where you park a satellite out at 550 AU and image whatever's directly on the opposite side of Sol (or an equivalent distance in proportion to some remote star's gravity).

The idea of using sun's gravitational lensing effect as a telescope has been proposed seriously (https://en.wikipedia.org/wiki/Solar_gravitational_lens). this has much smaller resolution then what you mention but perhaps can be used to witness other planets in ours and nearby galaxies in our cluster.
I’m imagining an advanced civilization with a telescope capable of doing observing dinosaurs, but only ones being thinks that it an interesting use of the telescope. So they work super hard and get exactly one Earth day’s worth of observing time to look at dinosaurs w/ no possible rescheduling. When the day finally comes… clouds.
This is admittedly a bit over my head, but does that mean it is technically possible that an image of earth could be captured from the distance needed to see Pangaea?

Thinking about this has sparked a bunch of questions I hadn't thought of before. For instance, does information encoded with light degrade over long distances in a vacuum? If not, it does seem like a mega-lens could potentially capture such an image right?

"For instance, does information encoded with light degrade over long distances in a vacuum?"

Since the vacuum is not totally empty, it does as far as I know.

Just like humid air fogs the picture.

Good point, I was being idealistic and imagining space as a perfect vacuum.
Under this perfect assumption you end up having a problem with the red shift caused by the expansion of the universe (which I didn't account for above) that lengthens the wavelength of the light you want to see, requiring an even larger lens.

On the lens side of things, as far as I'm aware (not a physicist, math PhD student who is just generally into this sort of thing) there isn't anything fundamental preventing you from collecting this light and building the lens, but from our current understanding of materials science I'm fairly confident it's currently impossible to construct a structure that will stay together that large.

That being said there may be ways around this problem, like I said not a physicist or engineer, but you are right that from an information theoretical perspective if you ignore dust and other things in the way then yes all the information is still there.

Why not? If it can be seen from just a few miles outside the atmosphere, and the light continues to travel without obstruction through the vacuum of space, couldn't it be seen from millions of light years away as well?
Ask yourself: Are WE able to see the continental structure of an exoplanet millions of light years away with our current telescopes/imaging software?
Sorry, I should have clarified, that’s not at all what I meant. I’m thinking about if it’s bound by current theory, not current tech. Obviously we can’t do this today, or probably in my lifetime.