The classical and quantum worlds are not as apart as we thought.

Hi.

I just returned from a tour of Harvard, Tufts, and MIT. I'll likely write about that shortly, but it was a whirlwind experience where I was able to record five high-quality podcasts in a three-day span.

From MIT’s Manolis Kellis’ “salon” where 70+ people showed up to watch a conversation where Jacob Barandes and I were the guests of honor. It was truly an honor. Yes, it will be online soon here as a Substack exclusive for a few weeks prior to releasing to everyone else on YouTube.

Now onto professor of geometry and topology, Eva Miranda. (link to her website here).

Feynman Was Wrong: We Now Understand Quantum Mechanics

This is a presentation huge treat for those interested in the foundations of quantum mechanics as well as the beauty of differential geometry.

It builds from my most recent post which seemed to have gone viral regarding Lagrangian submanifolds.

This time, it’s about:

• Why classical and quantum physics need different mathematical frameworks

• The “art” of quantization - translating classical systems into quantum ones

• Symplectic geometry and Poisson brackets as fundamental tools

• Challenges in making quantum and classical mathematics compatible

• Integrable systems and their role in quantization

• The Bohr-Sommerfeld quantization method

• Geometric quantization (of course)

It is also appearing on YouTube at some point, below:

Thank you to Eva Miranda. She’s marvelous, and you’ll definitely be seeing more of her soon.

- Curt Jaimungal