Explore Relativity with Interactive Flash Diagrams

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Interactive Flash diagrams have been created to visualize concepts from Epstein's "Relativity Visualized," focusing on special relativity and gravitation as curved spacetime. While the diagrams are engaging for beginners, they differ from standard Minkowski spacetime diagrams used in advanced studies. Users have inquired about the representation of the time coordinate in the 3D diagram, which is explained as a layered structure rather than a closed circle. The choice of a rotational surface for the 3D embedding is noted to be arbitrary and lacks physical significance. Overall, the visualizations serve as a helpful tool for understanding basic relativity concepts.
A.T.
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Hello,

for those of you who liked Epsteins book "Relativity Visualized" and
his geometrical interpretation of relativity: I have made two
interactive space-eigentime diagrams in flash to play with:
A basic on showing mainly special relativity:
http://www.adamtoons.de/physics/relativity.swf
A 3D version showing gravitation as curved spacetime (needs flash 9):
http://www.adamtoons.de/physics/gravitation.swf
Comments and suggestions are welcome

Adam
 
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Nice visualizations.
It's been a while since I have looked at Epstein's book.

Just a word of warning [for those unfamiliar with spacetime diagrams]... Epstein's vivid diagrams are not the standard Minkowski spacetime diagrams, as seen in more advanced relativity books. While his diagrams are enlightening and may be sufficient for beginners, they are of limited use.

Here's a review via JSTOR
http://links.jstor.org/sici?sici=0024-094X(1984)17%3A4%3C299%3ARV%3E2.0.CO%3B2-0

Here's related thread on Epstein's diagrams:
https://www.physicsforums.com/showthread.php?t=151075
 
A.T. said:
Hello,

for those of you who liked Epsteins book "Relativity Visualized" and
his geometrical interpretation of relativity: I have made two
interactive space-eigentime diagrams in flash to play with:
A basic on showing mainly special relativity:
http://www.adamtoons.de/physics/relativity.swf
A 3D version showing gravitation as curved spacetime (needs flash 9):
http://www.adamtoons.de/physics/gravitation.swf
Comments and suggestions are welcome

Adam

Can you tell me why the time coordinate is a closed circle in the interactive space-eigentime diagrams of http://www.adamtoons.de/physics/gravitation.swf
 
mendocino said:
Can you tell me why the time coordinate is a closed circle in the interactive space-eigentime diagrams of http://www.adamtoons.de/physics/gravitation.swf

It isn't. After each cycle you land on a new layer of the diagram. The 3D-view is basically the left 2D-diagram rolled together, so you have 4 layers. The choice of a rotational surface to embed the curved 2D-spacetime in 3D is arbitrary and has no physical meaning.
 
Thank you Adam for the excellent animations.
 
Moderator's note: Spin-off from another thread due to topic change. In the second link referenced, there is a claim about a physical interpretation of frame field. Consider a family of observers whose worldlines fill a region of spacetime. Each of them carries a clock and a set of mutually orthogonal rulers. Each observer points in the (timelike) direction defined by its worldline's tangent at any given event along it. What about the rulers each of them carries ? My interpretation: each...

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