> That doesn’t mean there can’t be a higher spatial dimension
> that our observable universe is part of; we just haven’t
> observed it or can’t observe it.
Maybe we can not observe higher spatial dimensions, but we can observe a force that seems to propagate in higher spatial dimensions, thus there seems to be evidence of those dimensions.
Light intensity, gravity, and electromagnetism decay at 1/r^2, which is the same rate at which the area of the surface of an expanding 3D bubble grows. So each unit of light / gravity / electromagnetism could be seen as taking up a specific "patch" of expanding area.
However, the strong nuclear force decays much faster than 1/r^2. In fact, at some distance it goes negative and then decays back to zero. This could be (wild speculation) a force that propagates in many more dimensions. And it's not the only force that does this, the weak nuclear force also decays much more rapidly than 1/r^2 with distance.
I'm not a physicist and I would love nothing more than to hear what holes could be punched into this hypothesis.