As a riff on #10, a related suggestion would be to choose a high achiever from history — a military genius like Alexander the Great, for instance — and import this person’s alta ego into a wholly different context or milieu, that's to say far removed from the usual superhero trumpery. In straight SF terms one example to illustrate the point would be to have two or more highly gifted members of an alien race competing to get to the bottom of E = mc2 — for whatever dramatic reasons demanded by the plot. There are, of course, numerous variations to this approach. (Just exactly what would Aristotle have made of SR?)
So there it is: a well-honed, off-the-shelf piece of physics available for the writer to plunder and recycle in whatever forms he or she sees fit. That might seem a bit of a cheat, but to paraphrase TS Eliot’s well known aphorism, it’s worth pointing out that while “immature writers imitate, mature writers steal.” By using Einstein’s ready-made equation (and the rest of the theory) in a suitably original and imaginative way, it could, given a fair wind, render the mature writer happily guilty as charged. The bottom line here, of course, is that as far as the science is concerned the heavy lifting is already done. This means that the writer can be just a writer again.
The only (rather poor) example of the above that comes to mind at present, certainly in the SF genre, is the 1950s film Forbidden Planet. True, its science (and hammy characterisation) is pretty much representative of its time, in some ways a forerunner to early Star Trek, in fact. What the film still has going for it, though, albeit in ghostly outline, is its clever usurpation of The Tempest plot, in particular the way the film’s lead character/antagonist inverts the protagonist in Shakespeare’s play. For Dr Morbius read Prospero. A personal bleat: while the business of churning out sequels/retreads of Independence Day and its ilk is necessarily following the money, it would make a welcome change if a film studio with some loot behind it did a radical and artful second take on (say) The Tempest — I mean Forbidden Planet. If so, get the science right this time, or as right as it can be. Oh, and don’t forget the Bard!