A question about wormholes and their typical representation

[Breo]

Why the wormholes are typically represented as follows:

instead:

Is the same? in that case why there are two type of draws?

Another question, why the wormhole has length? or at least that seems in the draws and in the movies like interstellar or contact.

 

[phinds]

It is to emphasize the aspect of these theoretical beasts of being able to "short-cut" spacetime. The first pic shows that and the second not only does not, it in fact makes it look as though the wormhole path is LONGER than a traditional path between the same two points.

 

[A.T.]

Is the same?

Topologically, yes.

http://en.wikipedia.org/wiki/Topology
"a topologist cannot distinguish a coffee mug from a doughnut"

 

[jerromyjon]

The best logical "visualization" I have ever heard is taking a piece of paper, and mark 2 dots on it... the paper flat on the table represents flat spacetime and 2 distinct points with a distance between points in 3D space at 1 time. Now fold it in half so the 2 dots touch is a wormhole (laymen's terms infinite distance tends to 1) or curl it in a tube as a physicist might to align 2 inertial reference frames of space in a singularity in spacetime. It doesn't matter philosophically if you think space doesn't exist between the points or energy doesn't "exist" on the trip through space, as long as you realize the twisty rollercoaster ride through a tube from A to B is not predicted, hinted or in any way I know of supported by science.

 

[sardar]

The representation of wormholes in popular media and scientific literature often varies due to the complexity of the concept and the limitations of visual representation. Some representations may show a straight line or tunnel, while others may show a curved or distorted shape. This can be attributed to the fact that wormholes are theoretical objects and their exact appearance is still a matter of debate and exploration in the scientific community.

Furthermore, there are different types of wormholes that have been proposed, such as Einstein-Rosen bridges and Morris-Thorne wormholes, which may have different visual representations. These variations in representation may also be influenced by the artistic interpretation of the creator.

As for the length of wormholes, this is also a matter of speculation and theoretical models. Some theories suggest that wormholes may have a finite length, while others propose that they may be infinitely long. The length of a wormhole is dependent on its structure and the laws of physics that govern it, which are still being studied and understood by scientists.

It is important to keep in mind that wormholes are still a theoretical concept and there is much that is still unknown about them. Therefore, the representations of wormholes should be seen as artistic interpretations and not as definitive depictions. As our understanding of wormholes evolves, their representations may also change.