Imagine a 2d plane. If it is flat, there are no distortions in placement of the plane's grid. However, if you have to wrap part of the grid around a sphere, it distorts the dimensions.

Assume the sphere has a radius of

For simplicity, I'll limit the warp to one dimension on a hemisphere model.

Every x dimension between y's

for |y|<=r and x>=r:

x'=x-(pi/2)*r*sin(acos(y))

The grid displacement would look similar to this:

(green lines = distorted x-lines, white circle = sphere, white horizontal lines = y-lines)

So imagine an object going along an imaginary or real string that has the same distortion applied to it as the the x-axis lines in the image. A straight course would skew off into a tangent towards the sphere, when it reaches y=r or y=-r.

For example, look at a rollercoaster. When an object is trying to go one way, and is forced to go another, g-forces (artificial gravity) are produced.

Imagine spheres in space causing rollercoaster-like warps in superstring 'track'. Objects wanting to go 'straight' are being re-directed into another direction, thus producing gravity.

Assume the sphere has a radius of

*r*, and the coordinate system is centered at the core of the sphere.For simplicity, I'll limit the warp to one dimension on a hemisphere model.

Every x dimension between y's

*r*and (-*r*) has the following displacement applied to it:for |y|<=r and x>=r:

x'=x-(pi/2)*r*sin(acos(y))

The grid displacement would look similar to this:

(green lines = distorted x-lines, white circle = sphere, white horizontal lines = y-lines)

So imagine an object going along an imaginary or real string that has the same distortion applied to it as the the x-axis lines in the image. A straight course would skew off into a tangent towards the sphere, when it reaches y=r or y=-r.

For example, look at a rollercoaster. When an object is trying to go one way, and is forced to go another, g-forces (artificial gravity) are produced.

Imagine spheres in space causing rollercoaster-like warps in superstring 'track'. Objects wanting to go 'straight' are being re-directed into another direction, thus producing gravity.

But such a view does not indicate how gravity propagates outside the immediate area of indentation. Also, the idea of a 2D plane is more a conceptual model used to help us understand rather than a direction translation of what is occurring (like ‘imaginary time’ in mathematics). In truth, the 'indentation' would propagate along the 3 physical dimensions (gravity is not only evident on a plane) and into the 4th (time) and, if we follow certain ideas from M-Theory (theory attempting to unite the 5 superstring theories), it is one of the only forces which can propagate across branes (our physical universe being a brane) and the other proposed dimensions – but this is mainly theoretical as yet.