Podcast Episodes

How big is the computer that runs the universe?

Episode 18

As you’ll know from Episode 8: Where’s the computer that runs the universe? ( read ⋅ listen ⋅ watch ), I have my doubts about the existence of a computer that’s whirring away, applying Wolfram’s rule…

Published on 3 years, 2 months ago

Unary, binary, ternary, k-ary hyperedges in Wolfram Physics

Episode 17

Here are answers to some fundamental questions about hypergraphs:

A hyperedge can connect any number of nodes: one, two, three, four, seventeen or any other number.

And a hypergraph can include any of …

Published on 3 years, 3 months ago

What is a hypergraph in Wolfram Physics?

Episode 16

In previous episodes, I’ve been simulating Wolfram Physics using graphs.

But you may have come across simulations of Wolfram Physics using hypergraphs.

What’s the difference?

What is a hypergraph?

—

This …

Published on 3 years, 3 months ago

Where to apply Wolfram's rules?

Episode 15

Confession time: I haven’t been entirely honest with you about applying a rule to a graph in Wolfram Physics.

I’ve explained precisely how to apply a rule, but I’ve been strangely silent when it comes…

Published on 3 years, 4 months ago

Space-time is dead

Episode 14

In his General Theory of Relativity, Einstein combined the three dimensions of space with the one dimension of time in what we now know as Einstein’s equations.

Ever since, physicists have thought of …

Published on 3 years, 5 months ago

Is space continuous or discrete?

Episode 13

We’re used to thinking of space as continuous.

A stone can be anywhere in space. It can be here. Or it can be an inch to the left. Or it can be half an inch further to the left. Or it can be an infini…

Published on 3 years, 5 months ago

Beware invisible things

Episode 12

We humans have always been fond of invisible things.

Poltergeists, fairies, unicorns, the Yeti, the Lost City of Atlantis.

Just because you can’t see them, it doesn’t mean they aren’t there.

Scientists,…

Published on 3 years, 5 months ago

What are dimensions in Wolfram’s universe?

Episode 11

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 s…

Published on 3 years, 6 months ago

Are Wolfram’s graphs three‑dimensional?

Episode 10

Are Wolfram’s graphs three-dimensional?

In Episode #009: How to measure the dimensionality of the universe – watch the video or read the article – I introduced a mathematically-minded crab, which was …

Published on 3 years, 7 months ago

How to measure the dimensionality of the universe

Episode 9

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 – wat…

Published on 3 years, 7 months ago