With the crazy stuff in 11-dimensional string theory, anything is possible. There could be a spatial dimension orthogonal to the ones we know about, but is inaccessible (for some reason) to us mere 3 dimensional beings. Occasionally, we see things popping in and out of our 3D hyperplane that we can't explain (like particles in the Dirac sea?), so why can't forces dissipate out of our hyperplane into surrounding ones? That might explain the weakness of gravity, if it were a force that we are "sharing" with other multidimensions.
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