The Last Theory
The Last Theory
The Last Theory
Episode #011
9 June 2022
What are dimensions
in Wolfram’s universe?
Notes

We know what it means when we say that our universe is three-dimensional: it means that we can move in three orthogonal directions: left-right; up-down; forwards-backwards.

But what would it mean to say that a universe is 2½-dimensional?

Or 3.37-dimensional?

Or 9-dimensional?

When I measured the dimensionality one of Wolfram’s graphs, I found it to be at least 3.37-dimensional.

If Stephen Wolfram is right, then our universe might not be uniformly three-dimensional.

So maybe dimensionality isn’t quite what we think it is.

What, exactly, are dimensions?

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Quotes
“Maybe dimensionality isn’t quite what we think it is”
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“Dimensionality is local: different neighbourhoods of the universe can have different numbers of dimensions”
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“At the tiniest scale, there is no left‑right, no up‑down, no forwards‑backwards. It’s more complicated than that.”
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“At the tiniest scale, all there is is the graph, in all its complexity”
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“Dimensions are an attempt by large‑scale creatures like ourselves to make sense of space”
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“Dimensions are our simplification of an unimaginably complex graph”
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