Chapter
Exploring the Possibility of a Compact Two-Dimensional Universe
38:27 - 51:34 (13:06)
In this episode, the host discusses the idea of a compact two-dimensional universe and how it can exist without being embedded in a higher dimensional space, citing the discovery of the Earth as a compact finite surface that wraps back on itself.
Clips
The universe may be a compact, finite surface similar to the surface of the Earth that wraps back on itself, meaning that if one were to travel in a straight line, they would eventually end up back where they started.
38:27 - 40:30 (02:02)
Summary
The universe may be a compact, finite surface similar to the surface of the Earth that wraps back on itself, meaning that if one were to travel in a straight line, they would eventually end up back where they started. This concept raises questions about what exists beyond the finite surface.
ChapterExploring the Possibility of a Compact Two-Dimensional Universe
Episode#445: Janna Levin on Extra Dimensions, Time Travel, and How to Overcome Boots in the Face
PodcastThe Tim Ferriss Show
The surface of the earth can be represented in two-dimensional form with east-west and north-south, and the same can be done for the universe with a three-dimensional sphere that is not nested in a higher dimension.
40:30 - 42:48 (02:18)
Summary
The surface of the earth can be represented in two-dimensional form with east-west and north-south, and the same can be done for the universe with a three-dimensional sphere that is not nested in a higher dimension. It is difficult to visualize, even for experienced mathematicians and there is no requirement for anything on the outside.
ChapterExploring the Possibility of a Compact Two-Dimensional Universe
Episode#445: Janna Levin on Extra Dimensions, Time Travel, and How to Overcome Boots in the Face
PodcastThe Tim Ferriss Show
Physicist Andrew Hamilton discusses the concept of a two-dimensional donut that does not exist in a higher dimensional space, explaining that it is challenging for humans to comprehend due to our limitations in experiencing only three dimensions.
42:50 - 46:32 (03:41)
Summary
Physicist Andrew Hamilton discusses the concept of a two-dimensional donut that does not exist in a higher dimensional space, explaining that it is challenging for humans to comprehend due to our limitations in experiencing only three dimensions. He compares it to Pac-man's world and how the game's physics would translate to a two-dimensional donut shape.
ChapterExploring the Possibility of a Compact Two-Dimensional Universe
Episode#445: Janna Levin on Extra Dimensions, Time Travel, and How to Overcome Boots in the Face
PodcastThe Tim Ferriss Show
The speaker shares their fascination with math due to its ability to reveal counterintuitive concepts that cannot be perceived through human intuition.
46:32 - 51:34 (05:02)
Summary
The speaker shares their fascination with math due to its ability to reveal counterintuitive concepts that cannot be perceived through human intuition.