The philosophical counterpart of gravity, i believe, would be "weight." As in "the weight of such a statement..." or leading to the "impact of such thoughts"
Now, the yin to gravitys yang? now that is much more tricky. Your question seems to ask about two differing things. Gravitational force, and universal expansion (the big bang).
So like gravity... from what i understand. As we don't fully understand the cause of gravity's force and impact on reality and existence. We can't really then say what the opposite of it would be. One of the other answers mentioned something about someones reasoning about. "smoke rises stone falls" That logic isn't really one of gravity, as much as thermodynamics. Simply put, heat rises, cool drops. (from a context of oxygen rich gaseous environments such as ours.)
We observe that the more mass a thing has, the more gravity affects it. So the stone, being a solid, has more mass. Than the smoke, which is just either gas or vapor (is there a difference?) So smoke not having much mass at all. and having more heat than the ambient air around it, will rise.
I do not think that electricity is really the right way to go, as simply electrifying something, does not affect its overall mass. However this is speaking from a non quantum sort of sense. As at the quantum level we observe that potential energy has mass. (Gross Oversimplification: a spring that was pressed down against itself would weigh, if even an imperceptible amount, more. Than an identical spring, just left out with no alteration.)
I am not sure about the quantum implications of electricity... but you might be right. Perhaps then, we are just "beings" of "mass" and "gravity" rather than "those" of "photons" and "charge." So i guess, i am suggesting and agreeing with the idea that everything has its opposite. but perhaps the opposite of things like gravity and matter, are so opposing, that we cannot even observe them to exist... Maybe souls are the counterpart to gravity? Not to be glib, but maybe god? Perhaps gravity is the counterpart to physical existence itself. A side affect...
Really, all of this is sort of splitting hairs though. You know the saying "a thousand ways to skin a cat"? That is all any of this is... Differing ways to view the same thing, reality, or...
'the' 'world' 'around' 'us'
..as it were. Which is only light. Light at different speeds and wavelengths. Some lights are many different frequencys and "shades" of light. But the end of the day... its just light. You zoom in far enough and you get cells down to proteins and amino acids and such, down to particles, to atoms, to electrons and protons and such, to quarks, to the other things that we have found beyong quarks. ...to higgs particles... and then eventually what ever makes up higgs particles... that is the cosmic joke. Zoom in, far as ya like or zoom out, far as ya like... and you haven't really "got" "anywhere". Look into fractals (wiki) and recursion (wiki)
Sooo. You asked for my view, which is kind of a cop out, lol. But all the same here you go. Gravity; like time, light, Pi, god, and so many other things. Are ineffable, and try as we might, we are not built for the task of effing such topics. Eh heh heh heh, see what i did there?
It odd, but after proofreading this, I think I have stumbled upon another argument in support of the hindu brahman. Put simply, that which contains all that is, was, can, or will be... the unseen thing or force that governs all things or forces. ...most people might just call it "god." But i like the hindu framing. As brahman would be the thing that god is also made of... as it makes up all things... including emptyness and the lack of things... its a real trip though... that would be the zooming out to macro as well. as macro as the scale can get. Again though, like time, infinity, and death... its a topic that our brains were honestly not developed to be able to conceptualize in its totality. Merely to get a functional understanding of it and move along. Like the answer involving all the fun mathings. With the formula. It mentions the cosmological constant...
Is the value of the energy density of the vacuum of space. A homogeneous energy density that causes the expansion of the universe to accelerate.
Which when you dig around a bit, you find out, that constant is like the higgs particle. Which is to say, that we are not 100% sure about it yet. But the way we are doing our mathings, relies heavily if not solely on it being there. Which is a way of saying, "Wehlp, that cosmological constant is the only thing that lets all this other really cool math to work... so uhhh we're goin' with it." Which to my mind seems like sloppy astronomy, but like the hypothetical person suggested... its all we got to go off of..
so there. the philosophical counterpart of gravity, is brahman. The unknowable supreme existence ether.
-Thanks much, for the candy for my brain to gnaw on for a while. :-D