Gravitational mass and inertial mass have been found to be equivalent by many experiments. Thus if gravity is a quantum effect then so is inertia, and whatever waves/particles are responsible for gravity effects then those same quanta are responsible for inertial effects (Don't accept the taught view that inertia is an internal property of a mass particle, that it somehow resists change of motion. Simple experiments with a precessing gyro demonstrating its "magical" balancing properties, then the same gyro without its mass spinning but with applied forces holding it in its "magical" condition, clearly show the external nature of inertial forces.). You can derive a theoretical understanding for mass as something that continually absorbs these gravo-inertial quanta that are whizzing about through space, and for stable mass continually emit quanta at the same average rate. If those quanta travel at the speed of light they have zero rest mass but they can carry momentum and energy and spin (like neutrinos). Then mass continually absorbs momentum from all directions and continually emits momentum in all directions. It the mass has some internal property of (a) every time it absorbs one quanta from a given direction it emits one quanta to travel in the same direction as the one received (just like Newton's Cradle where the impact on one side of the stationary balls causes the ball at the other end to jump off) and (b) have a time delay between that single absorption and that single emission, then you have inertia simply from rate-of-change of momentum. With a stationary mass particle the force on the absorbing face due to the absorbed momenta is equal to the force on the emitting face due to the emitted momenta. The same is true for the particle traveling at constant velocity. But when the particle is accelerating the internal time delay causes an imbalance to those forces and the particle exhibits inertia. You can derive a formula for inertial mass that uses the momentum of each space quanta, the spatial density of those quanta, the collision cross section of the mass particle, the internal time delay and the speed of light. And clearly those inertial forces are not some internal property of mass to magically resist change of motion, they come from interaction with space.
If that model holds then we also need the same mass model to explain gravity. How can those space quanta arriving at our static test particle create what we perceive as a gravitational force? Well one clue is that some of the space quanta arriving at our test mass have been emitted from the nearby mass that is causing the gravitational force, and if we cared to examine the spatial density of those particular quanta we would arrive at the inverse square law. So somehow that nearby mass is creating a distortion to the otherwise uniform arrival characteristics of quanta, we are beginning to get some perception of "warped space" not as a geometrical warping of space itself, but as a warping of the quanta that invade space. What can that warping be? Well one possibility involves the characteristic of the space quanta not used so far, and that is spin. This is appealing since spin can also account for electromagnetic effects, where the space quanta are considered as "virtual photons". Put simply EM effects can be modeled by giving the mass particle a slightly different characteristic from that above in that the direction that it emits a quanta is determined by the spin of the arriving absorbed quanta, and that spin axis need not be parallel to its arriving velocity. And when emitted the quanta has spin parallel or anti-parallel to the emitted velocity. This offers some interesting features that explain what electric charge really is, and magnetic and electric effects. Now we need to think about gravity, not as a particle to particle phenomenon where there is but one force, but as an average effect for a large number of particles where EM effects cancel out, i.e. as a force between what we know as electrically neutral lumps of matter. Now we have the situation where "flat space" (no nearby lumps of matter) has on average a uniform density of arriving quanta over all arrival angles, and those quanta have on average a fixed angle between their spin vectors and their velocity vectors. Their spins have on average a fixed degree of transversivity. The net result on out test lump of matter is a balance between absorption and emission of momenta, there is no average force. However when close to another lump of matter some of the quanta arriving from that direction have been absorbed then re-emitted from that nearby lump, and these on average have zero spin transversivity, their spins are aligned with their velocity. This results in an imbalance of absorption and emission forces at our test lump, which is a force of attraction between the two lumps. Of course the same can be said of quanta emitted from our test lump and arriving at the nearby lump, that also gets an attractive force.
This gravitation model has similarities to the concept of space quanta applying an inward pressure to matter, wher a nearby lump of matter acts as a shield to those incoming quanta. But it should be noted that quanta like neutrinos can travel through the inter-atomic space of normal matter, only a small number actually get absorbed (then in my model get re-emitted), so the "warping" effect is quite small.