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.
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?
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?
ceh123|4 years ago
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...
martinpw|4 years ago
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.
fennecfoxen|4 years ago
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).
DesiLurker|4 years ago
devoutsalsa|4 years ago
asxd|4 years ago
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?
asxd|4 years ago
Reubachi|4 years ago