I'm going to separate my fan self from my...science self? The self that creates? And say it's incredibly silly. This is because I adore Hard-scifi, mundane scifi, the works. Not much in Star Trek makes a lick of sense to science as we know it.
The Tricorder, the Warp Drive, the Impulse Drive, Artificial beings, Antimatter Reactors, Artificial Gravity, Tractor Beams, Inertia Dampeners, Phasers, Disruptors, Teleporters, Universal Translators, Humanoid Aliens, Photon Torpedoes, Subspace, Cyronics, Genesis, Cloaking Devices, Replicators, NanoTech assimilation, Shields - all of their details were scratched out later, after their introduction, put in some guidebooks and may have inspired more real science down the line, which has returned as inconclusive or negated outright, save for computing and personal communication.
Nearly everything in that list is unproven or, when hashed out, results in a lot of energy being released in an uncontained manner that is bad news for anyone near by (transporters, for instance).
But in the end it's a show with some fun stuff and a big community that creates and a few games I enjoy spending time with. It's soft science fiction. Sometime that's all you need. The lack of popular hard scifi is not because hard scifi itself is bad, but because authors who try to delve into hard scifi forget the human for the tech and produce stale stories. That's not the fault of Star Trek.