IF i was a 1 dimensional being living in a 1 dimensional Universe being a circle.

In summary, the 1D universe could be a circle if a 1D being did determine the shape of his universe by marking a position and seeing if he came back upon himself. However, this is not necessary and a 1D universe could exist without shape.
  • #36
minio said:
I just want to ask - this is true only for cylindrical geometry, not for sphere, right?

Yes. In a sphere you will know your space is curved *intrinsically*, so again you don't have to talk about any space outside of the sphere, that's the point of intrinsic geometry.
 
<h2>1. What is a 1 dimensional being?</h2><p>A 1 dimensional being is a hypothetical creature that exists in a world with only one spatial dimension. This means that it can only move in one direction, either forward or backward.</p><h2>2. What is a 1 dimensional Universe?</h2><p>A 1 dimensional Universe is a theoretical universe that only has one spatial dimension. This means that it has no width or depth, and all objects in this universe would only exist as a line or a point.</p><h2>3. What does it mean to be a circle in a 1 dimensional Universe?</h2><p>In a 1 dimensional Universe, a circle would appear as a single point. This is because a circle is a 2 dimensional shape, and in a 1 dimensional world, it would only have one dimension to exist in.</p><h2>4. How would a 1 dimensional being perceive its surroundings?</h2><p>A 1 dimensional being would only be able to perceive objects that exist in its one-dimensional world. It would not be able to see or understand objects that have width or depth, as these dimensions do not exist in its universe.</p><h2>5. Is it possible for a 1 dimensional being to exist?</h2><p>It is currently not possible for a 1 dimensional being to exist in our universe. Our universe has three spatial dimensions (length, width, and depth), and it is impossible for a being to exist with only one of these dimensions. However, in a theoretical 1 dimensional universe, it is possible for a 1 dimensional being to exist.</p>

1. What is a 1 dimensional being?

A 1 dimensional being is a hypothetical creature that exists in a world with only one spatial dimension. This means that it can only move in one direction, either forward or backward.

2. What is a 1 dimensional Universe?

A 1 dimensional Universe is a theoretical universe that only has one spatial dimension. This means that it has no width or depth, and all objects in this universe would only exist as a line or a point.

3. What does it mean to be a circle in a 1 dimensional Universe?

In a 1 dimensional Universe, a circle would appear as a single point. This is because a circle is a 2 dimensional shape, and in a 1 dimensional world, it would only have one dimension to exist in.

4. How would a 1 dimensional being perceive its surroundings?

A 1 dimensional being would only be able to perceive objects that exist in its one-dimensional world. It would not be able to see or understand objects that have width or depth, as these dimensions do not exist in its universe.

5. Is it possible for a 1 dimensional being to exist?

It is currently not possible for a 1 dimensional being to exist in our universe. Our universe has three spatial dimensions (length, width, and depth), and it is impossible for a being to exist with only one of these dimensions. However, in a theoretical 1 dimensional universe, it is possible for a 1 dimensional being to exist.

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