The Last Theory

The Last Theory

The Last Theory

Episode #011

9 June 2022

What are dimensions

in Wolfram’s universe?

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”last theory.com

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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.”last theory.com

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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”last theory.com

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