Do 3D and 4D Universes Share the Same Geometry?

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Discussion Overview

The discussion revolves around whether a universe with three spatial dimensions shares the same geometry as a universe with four spatial dimensions. Participants explore the implications of dimensionality on geometric properties.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions the relevance of comparing the geometries of 3D and 4D universes.
  • Another participant mentions a previous response indicating that the answer to the question is "yes," suggesting a potential agreement on the matter.
  • A different viewpoint is introduced, stating that in different geometries, there are no straight lines, implying that the nature of lines changes with dimensionality.

Areas of Agreement / Disagreement

The discussion reflects disagreement, as some participants challenge the relevance of the question while others provide differing perspectives on the nature of geometry in various dimensions.

Contextual Notes

Participants have not fully explored the implications of their claims, and there are unresolved assumptions regarding the definitions of geometry in different dimensions.

Gold Barz
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Would a 3 spatial dimension universe have the same geometry as a 4 spatial dimension universe?
 
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let go of that idea, it is not relevant
 
Nevermind, I just read the answer you gave me to this question in one PM, it was "yes" lol

Just because its not relevant doesn't mean its not worth asking about
 
There are no straight lines. All lines are curved when you change geometry.
 

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