How to measure the dimensionality of the universe

Today’s episode includes a lot of visuals, so I recommend you watch the video or read the article rather than listen to the audio.

In Episode #007: The expanse: dimension, separation & explosion – watch the video or read the article – I argued that the graphs of Wolfram Physics are going to have to be three-dimensional to be a true representation of our universe.

But how can we tell whether these graphs are three-dimensional? Many of them are so convoluted that it’s difficult to tell whether they’re two-dimensional, three-dimensional or somewhere in between.

I’m going to make the question even more difficult. We’ve been looking at graphs from the outside, from a God’s-eye view.

In reality, though, we’re not outside the graph. Remember, we’re hoping that the graphs of Wolfram Physics will prove to be a true representation of our universe, and we can’t be outside our own universe.

How could we tell whether a graph is two-dimensional, or three-dimensional, or even two-and-a-half-dimensional, from inside the graph?

How would we measure the dimensionality of our own universe?

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