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For the purposes of this question, let's ignore the causality issues of time travel itself.
Suppose our hero, or an accomplice of our hero, has invented a time travelling apparatus. It works like this: a person steps into a chamber, sets some controls, and initiates a jump through time. The apparatus then transports itself and anything inside it to the designated time. It is powered by a set of handwavium-unobtainium-based power cells that provide enough power to sustain a small number of time jumps between recharge cycles.
To keep this from becoming a too-easy deus ex machina, I want this apparatus to be able to transport through time but to be forced to consistently appear in the same location on Earth at the target time. That is, if you start at Brandenburger Tor, Berlin, Germany on midnight, New Year, and go half a year plus twelve hours into the past, you end up at Brandenburger Tor, Berlin, Germany at noon in the height of summer. In other words, it somehow works in such a way that we can (and indeed are forced to) disregard the Earth's own rotation, the Earth's orbital movement around the Sun, the Sun's orbital movement in the Milky Way, and so on, but we cannot instruct it to move geographically to another location as part of the time jump.
There is no need for the apparatus to function at all further away from the surface of the Earth than some small distance, say 1 km or so (to allow for high-rise buildings).
How could I possibly explain the fact that the apparatus after transporting through time appears in the same geographical location, as explained above?
The explanation absolutely does not have to meet strict scientific criteria (we're throwing those out already with time travel in the first place), but it'd be nice if it doesn't break suspension of disbelief too badly.
The time jumps will be on the order of hundreds of years or less, so geological stability should not be a major concern and might even provide an interesting obstruction to our hero. (Thanks Pavel Janicek for mentioning this issue.)
2BTW, double thinking about it: You might want to change behavior of your aparatus: Ending on same location (even just geographical) could be really risky if travelling more than 100 000 years in time – Pavel Janicek – 2015-03-23T12:49:01.173
@PavelJanicek That's a good point. However in what I have in mind, jumps will be on the order of hundreds of years or less, and generally to the past of the invention of the apparatus, so I don't think that'd be a major issue; under such circumstances it should be practical to choose sites that are stable over the necessary period of time, and it provides another slight inconvenience (having to choose an appropriate site; can't just go where the machine happens to be). – a CVn – 2015-03-23T12:51:23.547
1If the apparatus remains in the exact same location in space time it will be spending most of its time in space! I am assuming however that you mean for it to orbit the Earth, otherwise every 365 days it will ram through our planet (or rather our planet will run into it) and it will be destroyed. You specified that it disregards earths rotation......but my idea might make for a good story :) – JDSweetBeat – 2015-03-23T14:29:54.730
3What happens if you send the apparatus back 1 day. And it occupies the same space it did .. yesterday .. O.o Just curious how you want things to behave when the device would occupy the same space as something else ? – Ditto – 2015-03-23T15:05:41.510
@Ditto Interesting question. I hadn't considered that. Might have to give that particular possibility some thought, but since this isn't readily available technology that you can just walk into a store and buy maybe that's just part of the "don't ever do this" section in the manual. – a CVn – 2015-03-23T18:20:30.327
2Of course, if we posit sufficiently advanced technology, it could just scan "ahead" and refuse to stop at the particular requested time if doing so would involve moving anything dense out of the way... – a CVn – 2015-03-23T18:42:00.090
Just give it a Flux Capacitor. It seemed to work for Doc... – Eric – 2015-03-23T20:30:55.890
@Eric You mean one of those mentioned here (if you don't care for the minutiae of asking questions, just scroll down to the bonus chatter section)?
– a CVn – 2015-03-23T20:37:04.613@MichaelKjörling Precisely! :) – Eric – 2015-03-23T20:43:07.783
The earths plates move at a rate of about 2.3 cm per year (North American one anyway). It's negligable day to day...in travelling 100 years, the earth would have moved around 2.3 meters beneath you. Might be an interesting plot point if your travellers selected 1000 years and arrived 23 meters over in the building beside where you left. If you go for 100'000 years, then you'll be a couple km away from the land you left from. – Twelfth – 2015-03-23T23:27:44.030
@Twelfth Suppose the machine was anchored to the local gravitational field as suggested primarily by Niffler but also expanded on by others. Wouldn't plate movement cause a corresponding, though possibly quite small, shift in the local gravitational field? (Compare mascons which are a real thing on Earth's Moon; also here.)
– a CVn – 2015-03-24T08:34:54.183You may consider additional point of difficulty: the device exists through all the time of travel, doesn't just vanish. If it needs to sit on the ground all that time, its outside affected by normal influences of physics (inside going back in time, outside traveling back to the future at 1 second per second), further explanationsof binding to location become moot. Never mind archaeologists moving it to a museum in the meantime... – SF. – 2015-03-24T10:30:28.483
@MichaelKjörling - long ways outside of my expertise (if anything I know can be considered expertise) with that...for a story you could likely use either explanation with it. – Twelfth – 2015-03-24T23:25:03.917
@DustinJackson and why must it be in space most of the time? Is there some special frame of reference you are using? ;) – congusbongus – 2015-03-25T02:06:20.810
Do you really need the time machine to transport itself like a vehicle? A time gate that sends things back in time to itself solves the problem of where is "here" at a different time if there is no fixed reference frame as "here" is wherever the time gate was. – smithkm – 2019-09-23T17:03:31.107