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Scientific plausibility is maintained by not doing anything that breaks it. That is all there is to it. Details get bit more complex. Unless you somehow signal otherwise the default assumption any...
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#3: Attribution notice added
Source: https://writers.stackexchange.com/a/44997 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
Scientific plausibility is maintained by not doing anything that breaks it. That is all there is to it. Details get bit more complex. Unless you somehow signal otherwise the default assumption any reader will and should make is that your world works the same as the world they are familiar with. The issue comes with how to not signal more than you intend. When you introduce a new element the reader will try to fit it to some model they are familiar with. You need to control what that model will be. A task complicated by different readers being familiar with different things. Assumptions safe with one audience will utterly fail with another. And the context has major impact. I am specifically talking about genre. If your story reads like fantasy or space opera or has gothic horror vampires you should not waste much time trying to look scientifically plausible. It won't work. When you introduce an element that is beyond the known science but wish to to maintain plausibility anyway there are two parts to it. First is still not saying anything that breaks the plausibility outright. If you say or imply it is "magic" you will lose. Do not use fantasy conventions. Do not imply it is magical. Do not imply it is sufficiently advanced to be considered magic. Second is simply signalling to the reader that it should be considered plausible. That it is science. All that means is that somebody understands how it works, and somebody built it with normal engineering without any magical rituals. Or could have done so even if they did actually use ritual incantations due to superstition. That somebody discovered the science behind it, and understands it. That it fits in the overall framework of science and scientific method. Sadly, very sadly, the established practice to convey that is [technobabble](https://en.wikipedia.org/wiki/Technobabble). Try to keep it minimal. All you need is enough that the reader gets your intent. For example for an FTL drive you could mention that it is a [a] drive based on the [b] effect discovered by [c] in [d]. That this particular one was built by [e] in [f] and is special because it can [g] and has [h]. But that unfortunately it has issues with [i] and needs regular [j] which increases upkeep or limits its use in some way. Just speak about it in recognizably the same manner and same kind of language that is used to discuss things that are common place, not at all magical, and obviously entirely plausible. For a space drive look how enthusiasts talk about car engines or jet engines. For a weapon look how gun enthusiasts talk about guns. Then either have such a character be enthusiastic 'on camera' or have some other character or the narrator give a toned down version. It is annoying but you do not need to spend lots of time on it, you just need to do it every time you first introduce a new element. Preferably without it sounding ridiculously forced and unnatural. Technogeek characters that are constantly babbling things nobody wants to hear can be convenient.