Distance is as dependent on momentum as momentum seems to be dependent on distance. It takes some momentum to cause a distance to be traversed. A change in momentum changes how much distance is traveled in time. A change in a momentum's vector causes a new direction or dimension to be traveled. Causing a particle to travel twice the distance in half the time results in the particle having twice the momentum. Classical non-relativistic mechanics assumed that this linearity extended to infinity. Special relativity shows that for small values of p, momentum increase linearly with velocity. Large values of p, for the same particle, do not increase linearly with velocity. Instead it contracts space, as measured. It also contracts neighboring space, along the same direction, in the space near the particle. For an electron, the contraction of the spherically symmetric E field is what is interpreted as a magnetic field. French, A.P. Special Relativity, Ch. 10.

This spatial contraction occurs in the neighborhood of the p traveling around a hyperspace dimension. In this case, though, this neighborhood contraction is what causes a space warp. A standing space warp in the curled up E space manifests as an electric field. The space warp in normal space to be seen as a gravitational field. In both normal and E space the same amount of contraction occurs. The effect is so much larger in E space because the space it occurs in is so small. The same contraction in normal space is an infinitesimal fraction so it has an infinitesimal effect.

That a particle can affect the spatial dimension around it for other particles almost seems obvious. We expect particles to interact and trade momentum and that they should warp space-time for gravitational force. We should expect the effect to be a quantum effect.

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