What does the inside of a tesseract look like? Pascal’s Triangle can tell us.
You can find out how to fairly divide rent between three different people even when you don’t know the third person’s preferences! Find out how with Sperner’s Lemma.
One of the most startling possibilities is that our 3+1 dimensional universe may better described as resulting from a spacetime one dimension lower – like a hologram projected from a surface infinitely far away.
What is a the difference between a random and a pseudorandom number? And what can pseudo random numbers allow us to do that random numbers can’t?
Peano arithmetic proves many theories in mathematics but does have its limits. In order to prove certain things you have to step beyond these axioms. Sometimes you need infinity.
How do you defeat a creature that grows two heads for every one head you chop off? You do the math. Mathematician Kelsey Houston-Edwards explains how to defeat a seemingly undefeatable monster using a rather unexpected mathematical proof. In this episode you’ll see mathematician vs monster, thought vs ferocity, cardinal vs ordinal. You won’t want to miss it.
Imagine a universe in which the most elementary components are stripped of all properties besides some binary notion of existence or non-existence. Like, if the tiniest chunks of spacetime, or chunks of quantum fields, or elements in the abstract space of quantum-mechanical states can either be full or empty. These elements interact with their neighbors by a simple set of rules, leading to oscillations, elementary particles, atoms, and ultimately to all of the emergent laws of physics, physical structure, and ultimately the universe.
But… is the universe actually made of stuff? An increasing number of physicists view the universe – view reality as informational at its most fundamental level. But how big a memory bank would you even need to compute a universe? Seriously, let’s figure it out.
On this Space Time Journal Club we look at how gravitational waves can be used to search for extra dimensions of space!
There’s this idea that beauty is a powerful guide to truth in the mathematics of physical theory. String theory is certainly beautiful in the eyes of many physicists. Beautiful enough to pursue even if it’s wrong?