In this case particles in curved spacetime follow paths that locally maximise the proper time the particle experiences.
Rubber sheet model gravity.
Here we have 1 space like dimension and one time like dimension curved into 3d.
The similarity is that something is warping which changes the path.
The ants walk forward.
Think of space as a stretched rubber sheet.
It achieves an ideal balance to create an all purpose weather resistant rubber.
With a rubber sheet the reason things roll into the bottom of the dent is well gravity.
In this model ist there a way to represent gravitational waves.
The dented rubber sheet done in earth s gravity is a not too bad analogy for newtonian gravity.
The rubber sheet model sometimes also denoted spacetime simulator or pillow model 11 12 offers an intuitive explanation of gravity.
This change does not affect the whole sheet instantly it propagates from the impact away.
The orange is curved space time.
Dropping a ball on a rubber sheet creates a change in the shape of the sheet.
Epdm sheet rubber is a versatile blended sheet epdm sheet rubber is a versatile blended sheet composed of ethylene propylene diene monomer and styrene butadiene rubber.
The short answer is that particles move according to the lagrangian principle of least greatest action.
The heavier the object the deeper the resulting gravitational well.
It also implies that the warp is into a different dimension which is not necessary.
Yet no instructional model comes without limitations.
Indeed physicists have known for ten years that a rubber sheet deformed by a central mass can never take on a shape that reproduces the gravitational effects of spacetime.
The magnitude of the acceleration is a little larger at the poles than at the equator because earth is an oblate spheroid.
In the words of john wheeler matter tells space how to curve.
A rubber sheet is spanned like a very soft trampoline and a heavy ball on it creates curvature in the sheet.
Let me try the ant analogy in a bit more detail.
On the surface of the earth the acceleration is given by so called standard gravity g approximately 9 8 m s 2 although this value varies slightly with latitude and altitude.
When something heavy is placed on the sheet it causes it to dip.
The mechanisms behind rolling down a dent and the geodesics of spacetime are different.
This walking is the analogy to moving forward in time.
Yes it has nothing to do with rubber sheets imo.
For this reason epdm material is an excellent medium for outdoor uses.