Jacob Barandes
speaker
7,673 appearances
5 recordings
1 series
first heard Jan 2025
last heard Jun 2025
Jacob Barandes’s voice in public audio — every appearance, attributed to the second.
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It turns out that
This mathematical picture
Is the word we use in mathematics is isomorphic.
Isomorphic just means there is a
mathematical connection between this way of formulating the the picture and another seemingly different looking way of formulating the picture, but they are mathematically equivalent.
There is, for everything you can say in one picture, there is something you can say uniquely in the other picture, and vice versa.
They're connected by this mathematical bridge.
And both give a completely comprehensive, adequate way to formulate the mathematics.
This other way of formulating the Hilbert space axioms is due to a number of people.
It seems to have been developed independently by a bunch of people.
Franco Strochi worked on it in the nineteen sixties.
Andre Heslott worked on it in the nineteen eighties.
It turns out you can take this abstract Hilbert space picture.
And write it in a mathematical form that looks just like
A collection of classical springs or pendulums, we call them harmonic oscillators, just systems that sort of swing back and forth.
Uh
And
Everything you can say in the Hilbert space picture you can say in this other alternative picture.
Now
Technically, this is easiest to do when
Showing 61–80 of 7,673 · page 4 of 384
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