Possible illogicalness of a 3-sphere shape of the Universe's space?

I
Thread starter greswd
Start date May 6, 2020
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Shape Space

In summary, the conversation discusses the use of metaphors to depict the universe as a 2-sphere or a 3-sphere. It also considers mapping the three dimensions of space onto the "surface" of a 3-sphere and the differences between positional symmetry in these models. The possibility of using different coordinate systems and the challenges it may bring is also discussed. Ultimately, it is concluded that while the geometry of a 3-sphere is different from Euclidean 3-space, certain coordinate systems, such as 3-dimensional spherical coordinates, can be used to work with this type of space.

May 7, 2020

greswd

greswd said:

so from #20, I think the map of space should continue outwards indefinitely, but as mentioned, unclear how to proceed after inadvertently reproducing Schlegel diagrams.

@Ibix as I'm unclear on how to proceed, I'm looking at another example which has a nice infinite map, that of the torus.
above I've posted the infinite map for Pac-Man on a torus. Its a modified Pac-Man, while the 1979 game Asteroids is originally toroidal.

<h2>1. What is a 3-sphere shape and how does it relate to the Universe's space?</h2><p>A 3-sphere shape is a mathematical concept that describes a three-dimensional sphere with a constant positive curvature. It is often used to model the shape of the Universe's space, as it suggests a closed and finite space with no boundaries.</p><h2>2. Is there evidence for a 3-sphere shape of the Universe's space?</h2><p>Currently, there is no conclusive evidence for a 3-sphere shape of the Universe's space. The shape of the Universe is still a subject of ongoing research and debate among scientists. Some theories and observations suggest a flat or open Universe, while others propose a closed and finite Universe.</p><h2>3. How does a 3-sphere shape of the Universe's space affect our understanding of the Universe's expansion?</h2><p>If the Universe's space is indeed a 3-sphere, it would have important implications for our understanding of the Universe's expansion. A 3-sphere shape would suggest that the Universe is finite and has a finite volume, which could potentially affect the rate and direction of its expansion.</p><h2>4. Are there any alternative theories to the 3-sphere shape of the Universe's space?</h2><p>Yes, there are several alternative theories to the 3-sphere shape of the Universe's space. Some propose a flat or open Universe, while others suggest a more complex and multi-dimensional structure. These theories are still being studied and evaluated by scientists.</p><h2>5. What are the potential implications of the 3-sphere shape of the Universe's space for our understanding of the laws of physics?</h2><p>If the Universe's space is a 3-sphere, it would have significant implications for our understanding of the laws of physics. It could potentially challenge some of our current theories and require us to revise or expand our understanding of the fundamental principles that govern the Universe.</p>

1. What is a 3-sphere shape and how does it relate to the Universe's space?

A 3-sphere shape is a mathematical concept that describes a three-dimensional sphere with a constant positive curvature. It is often used to model the shape of the Universe's space, as it suggests a closed and finite space with no boundaries.

2. Is there evidence for a 3-sphere shape of the Universe's space?

Currently, there is no conclusive evidence for a 3-sphere shape of the Universe's space. The shape of the Universe is still a subject of ongoing research and debate among scientists. Some theories and observations suggest a flat or open Universe, while others propose a closed and finite Universe.

3. How does a 3-sphere shape of the Universe's space affect our understanding of the Universe's expansion?

If the Universe's space is indeed a 3-sphere, it would have important implications for our understanding of the Universe's expansion. A 3-sphere shape would suggest that the Universe is finite and has a finite volume, which could potentially affect the rate and direction of its expansion.

4. Are there any alternative theories to the 3-sphere shape of the Universe's space?

Yes, there are several alternative theories to the 3-sphere shape of the Universe's space. Some propose a flat or open Universe, while others suggest a more complex and multi-dimensional structure. These theories are still being studied and evaluated by scientists.

5. What are the potential implications of the 3-sphere shape of the Universe's space for our understanding of the laws of physics?

If the Universe's space is a 3-sphere, it would have significant implications for our understanding of the laws of physics. It could potentially challenge some of our current theories and require us to revise or expand our understanding of the fundamental principles that govern the Universe.