It's possible that however the gravity generators in these ships works these various effects are accounted for and negated... "somehow."
Well, this is the Science and Technology forum, not a science fiction forum. So our focus here should be on the real science and the real possibilities, not on fictional "somehows" and handwaves. We're not here to twist and ignore science in order to rationalize fiction, we're here to explore and explain science, and to acknowledge where fiction falls short or is simply wrong.
For all we know the "gravity plating" is nothing more than very low level tractor beams that creates gravity but doesn't effect adjacent decks (above or below) or effects objects outside of the ship.
Well, that doesn't entirely make sense, because it contains two contradictory assertions. If we assume that a tractor beam is essentially a graviton laser or some other directionally applied force, then like a laser it would not be subject to the inverse square law (because it propagates linearly rather than spherically) and thus would not decrease in intensity with distance, except through scattering. So that would resolve the problem of the severe tidal differential between one's head and feet. But since it wouldn't decrease with distance, and since there's no such thing as matter that's opaque to gravitation, such a graviton laser would definitely be felt far beyond the deck in question and far beyond the outer hull of the ship.
Conversely, the only way to have a gravitational or otherwise attractive effect that is not felt beyond a single deck is to have it drop off quickly enough that its effect becomes negligible more than about 3 meters away from the source. And that requires a sharp dropoff in intensity which would have to be exponential, so again you get the severe tidal differential from head to foot. And that pretty much rules out the idea of the attractive principle being some form of directional beam.
So you can't have it both ways.
Either it's a beam
or it's localized; it can't be both.
Well, unless it's a diamagnetic field of some sort, similar to the
diamagnetic levitation effect but in reverse. Unlike gravitation, an electromagnetic field can be blocked or shielded and thus confined to a particular volume. However, it's unclear whether such a field would be safe for long-term human occupancy; even if there's no physiological risk, strong magnetic fields have been shown to induce hallucinations, paralysis, paranoia, and other neurological effects in some cases. Also there's the question of what effect such powerful fields would have on the ship's computers and electronics. And there'd probably have to be a complete lack of loose metal of any kind within the ship, as with an MRI room.
For the purposes of one of my
Star Trek novels, I postulated that Starfleet gravity plating generates virtual gravitons calibrated to last for only enough time to travel about 3 meters (i.e. about 10^-8 seconds) before ceasing to exist. I claimed this was so that the artificial gravity wouldn't interfere with the warp field. But that's a handwave to rationalize something I was stuck with in the fiction. If we're discussing the topic of artificial gravity in terms of real science, it's not an idea that has a lot of credibility. Personally I'd love to see an SF treatment of artificial gravity that treats the physics of gravitation more realistically.
Take something like Relativity for example. According to relativity your proximity to a massive object and your speed of movement all effects how you experience time as opposed to a person under different circumstances.
When I'm in my car going down the highway at 80 miles an hour I'm aging slower than someone standing on the road.
Well, unless you're driving westward, against the direction of the Earth's rotation. Then you're actually moving nearly 8 percent slower than that other person. (At least until you get into an accident and die because you were reckless enough to go 80 miles per hour.)
When I'm standing at the top of a mountain I'm aging slower than someone at the bottom of the mountain.
Other way around. The deeper you are in the gravity well, the slower your perception of time relative to an observer in flat space.