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petrushkagoogol
- 28
- 4
If space-time is curved like a klein bottle, is it theoretically possible that events could loop back in time ? 
rootone said:
Thanks, I suspected this could be the case, I'll look into the examples you mentioned.PeterDonis said:
Space-time is a mathematical concept that describes the combination of three dimensions of space and one dimension of time into a single four-dimensional continuum. It is the framework in which all physical events take place.
The Klein bottle is a mathematical shape that has only one side and no distinguishable inside or outside. It is a non-orientable surface, meaning it cannot be properly labeled as "inside" or "outside". It is often used as an illustration of the concept of a fourth dimension.
Space-time and the Klein bottle are both concepts that involve the idea of multiple dimensions. Space-time is used to describe the physical world we live in, while the Klein bottle is a mathematical shape that exists in four dimensions. Some physicists have theorized that the fourth dimension may be necessary to fully understand the concept of space-time.
No, the Klein bottle is a purely mathematical concept and cannot exist in the physical world as we know it. It is a theoretical shape that helps us understand the concept of a fourth dimension, which is not directly observable in our three-dimensional world.
Understanding space-time and the Klein bottle can help us to better understand the complexities of the universe and the fundamental principles that govern it. It allows us to think beyond our three-dimensional world and consider the possibility of higher dimensions. This can lead to new insights and advancements in physics and our understanding of the universe.