Undergrad Can Spacetime Be Visualized in a 2D Universe Like Flatland?

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SUMMARY

This discussion centers on the visualization of spacetime in a 2D universe, specifically referencing Minkowski spacetime and the book "Flatland." The user expresses difficulty in grasping non-Euclidean spaces and seeks to understand how spacetime could be represented in a 2D context. It is established that using 2D spacetime diagrams is a valid approach for beginners, as they simplify the complexities of higher dimensions. The conversation highlights the potential for 2D representations to aid in the understanding of fundamental concepts in special relativity.

PREREQUISITES
  • Understanding of Minkowski spacetime
  • Familiarity with special relativity concepts
  • Basic knowledge of non-Euclidean geometry
  • Awareness of the book "Flatland" and its implications
NEXT STEPS
  • Explore 2D spacetime diagrams and their applications in physics
  • Study the principles of special relativity in greater depth
  • Investigate non-Euclidean geometry and its relevance to spacetime
  • Read "Flatland" to understand dimensionality and its implications in physics
USEFUL FOR

Students of physics, educators explaining spacetime concepts, and anyone interested in visualizing complex theories in a simplified manner.

Gabriele99
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I started this post on physics.stackexchange but it's too vague for that site, so here I am! :)

I'm trying to really get the intuition of spacetime.

This video explains how Minkoswki was the first to think that maybe our universe does not consist of a 3d space which evolves in time, but rather a 4d non-euclidean mathematical space, Minkowski spacetime.

Not even to say this made no sense for me.
Head hurts when I think of non-euclidean spaces and 4,or more, dimensions.

So, I made some more caotic researches, watched other videos and I bumped into this explanationwhich resulted more intuitive and understandable.

This video, showed how spacetime whould have looked for a 2d event, as time passes. It blew my mind.

As soon as I finished this video I remembered about this book I read "FlatLand", which is about some 2d creatures who live in a 2d world, and so, I started wondering what would have spacetime looked like for this 2d space world, hoping it would help to clarify the concept, or to make it more "accesible".

In any way, I've just a small background in special relativity and some videos, and some spare readings behind my back, so I don't know if I can really dig into this with my current knowledge.

In the end, I'm just curious if anyone else have used this kind of help to initially understand this concept and if it can be a good way to start.

Can spacetime be thought for a flat world? How much would resemble the idea behind our 4d spacetime? What would light look like there? and, Could I ideally graph spacetime from a 2d big-bang to a certain time?
I don't expect these questions to be answered, I'm just asking if is lecit and useful to discuss about something like that and maybe to open a discussion.
 
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Gabriele99 said:
In the end, I'm just curious if anyone else have used this kind of help to initially understand this concept and if it can be a good way to start.
Yes, most spacetime diagrams are drawn with 1 dimension of space and 1 dimension of time. However diagrams with 2 dimensions of space and 1 dimension of time are also common. It is a very good approach to start!
 
since we are using "flatland" as the reference point you might want to explicitly restrict interactions to only the 2D. since in the book a 3D object was allowed to interact. if that is possible then the gravity of an object outside the the 2D land could change the physics of the world
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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