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Scenario: While poking around in an alien ruin, scientists discover a gateway which offers instant transportation to an Earth-like world.
The Observed World: The gateway leads to an area that is temperate (let's say it's similar to east coast of America, like Virginia/Maryland/Pennsylvania, for simplicity). The air is breathable, and there is an ocean visible within less than a mile. The gravity and day/night cycle almost exactly matches Earth. The planet has no visible satellites, natural or otherwise. There is flora and fauna, but no intelligent life.
The Actual World: The "planet" is actually an artificial construct—a flat (coin-shaped) world created through technological (rather than supernatural) means. The size is similar to what Earth would be, were its surface peeled open like an orange, and flattened into a disk. Gravity is artificially generated and regulated to mimic Earth (so you won't be pulled at an angle as you approach the edge). The atmosphere is held in by an invisible field which forms a dome over the livable side of the world.
The world orbits a yellow star similar to the Sun, and also rotates (like a spinning coin), so the sun will appear to rise and set.
Question: If a team of scientists are sent through the gateway with the purpose collecting flora/fauna/air/water samples, and observing the night sky (to determine the planet's location relative to Earth), what would tip them off that they're not on a typical spherical planet?
Particularly, what would stand out to someone with a good grasp of general physics, or astrophysics, even if they had no reason to suspect that the planet was anything other than a typical sphere?
I'm not looking for a mathematical proof, but rather something that visibly stands out and would make a scientist decide to perform such a proof in the first place.
Their available technology is modern-day: telescopes, laptops, quadcopter-mounted cameras, etc.


95If they looked over the side and saw a turtle. – Studoku – 2016-05-28T11:40:31.890
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No time an not enough physics to follow this up with an answer: what about Foucault's pendulum? https://en.wikipedia.org/wiki/Foucault_pendulum (They'd have to suspect something to set up the experiment.)
– Ethan Bolker – 2016-05-28T20:00:54.700I think the only way would be through edge. Any other measurements can be just because radius is sufficiently bigger - and I'd assume the accuracy of the off-hand calculation wouldn't give radius which would gave mass bigger then 75 times Jupiter. Dome could be explained to exists over part of planet. Both are much simpler explanation then disks so they would be preferred over it. Only edge is a definite proof. – Maciej Piechotka – 2016-05-30T05:09:59.317
So the surface area would be the about 500x10^6 km2, giving a radius of about 13,000km, and a maximum distance of 13,000 to an edge. Without atmosphere, the telescopes should be able to see the highest points, and the highest points would see the edges. It isn't initially mathematical, but the distance to horizon would not get significantly larger no matter how high you flew your drone, keying one into working out the d=sqrt(h*(D+h)) math. – Dave X – 2016-05-30T23:51:07.913
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Wouldn't star trails ( https://en.wikipedia.org/wiki/Star_trail ) be another give-away? I wonder if aiming straight away from the surface would produce straight lines, as opposed to curved lines when on a spherical world (when not on the equator).
– frozenkoi – 2016-06-01T02:16:32.11716I wonder how you peel an orange and flatten it so that the result looks like a coin. – RemcoGerlich – 2016-06-01T09:11:13.760
4@RemcoGerlich: Step 1? Believe in yourself. – Liesmith – 2016-06-01T10:43:18.667
1I am surprised no one mentioned Discworld yet. A quote from one of the first books: "Since the disc's tiny orbiting sunlet maintains a fixed orbit while the majestic disc turns slowly beneath it, it will be readily deduced that a disc year consists of not four but eight seasons. The summers are those times when the sun rises or sets at the nearest point on the Rim, the winters those occasions when it rises or sets at a point around ninety degrees along the circumference." And I would make this into a much more elaborate answer, but alas, this questions is protected against new users. – Renan – 2016-06-01T16:05:32.453
One option is to calculate the curvature: https://en.wikipedia.org/wiki/Curvature
– Erel Segal-Halevi – 2016-06-03T09:51:53.137@Studoku whats that a reference too? – Vajura – 2016-06-03T12:18:31.663
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@Vajura Discworld
– Studoku – 2016-06-04T08:03:55.173@RemcoGerlich, Flattening the peel must change its geometry. There are no parallel lines on a sphere : The " line segment" from A to B is the shortest path from A to B. – DanielWainfleet – 2016-06-04T19:28:31.087
Lets hope the exploration party does not get into a heated debate on the subject like they did here on planet earth
– Forward Ed – 2016-06-15T23:52:31.973What is the reason for why they don't send in drones to explore to begin with? This would be a cost efficient and practical option when you can launch them from right outside the portal, or if necessary from right inside it. – Martine Votvik – 2016-06-16T05:24:25.730
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@EthanBolker: Foucault's pendulum would still precess on a rotating disc. There's a latitude-dependent effect on the Earth (basically, because the rotation axis of the Earth is oriented at different angles to the surface at different latitudes); the scientists could try to measure the difference of the precession period at different locations, but at that point they're just as well off cribbing from Erasothenes.
– Michael Seifert – 2016-06-16T14:19:12.627