Recent submissions

Comment · 11 days ago
Hawking radiation and the Unruh effect both rely upon the fact that there is no absolute Hilbert space in which QFT unfolds, the Hilbert space used is observer dependent.

For example, in the Unruh effect an inertial observer sees the vacuum in their Hilbert space as having no particles. However, a uniformly accelerating observer sees that same vacuum as containing particles.

This state of affairs is addressed via algebraic quantum field theory (AQFT), which doesn't take a Hilbert space as the primary thing one starts with, but views Hilbert spaces as derived concepts.

Comment · 11 days ago
Surprising that he could have that intuition in 1935, before the Unruh effect was known of, before AQFT was invented, and really before most of QFT was formulated.

But then again, he was John von Neumann.

Comment · 14 days ago
> There is only one reason you can fail from that point: You're a complete social inept.

Harsh words for someone you've had no social interactions with. To me this statement says more about you than Jack Weis.

Comment · 15 days ago
"Dwayne Elizondo Mountain Dew Herbert Camacho, hold my beer!" -DJT
Comment · 15 days ago
The problem is there's no "ever better opponent" to play against---in Go it was a slightly different version of the model itself---and creating one, e.g. creating an ever improving model that generates ever more difficult theorems to prove, hasn't AFAIK occurred yet.
Comment · 17 days ago
More of this on the net!
Comment · 18 days ago
Comment · 1 month ago
Unfortunately moderated out of existence in 10, 9, 8, 7....
Comment · 1 month ago
I don't have access to the entire article, but it doesn't mean much to physics.

Physicists knew Navier-Stokes was an approximation that breaks down at some scale, e.g. the molecular scale. This AI solution just exhibits such a breakdown.

Comment · 1 month ago
Unfortunately attaching a corporation name to a statement is a large part of the motivation for a company to spend millions on tokens for Lean proofs. It's a marketing/PR spend for them. Without their name attached, the return on investment is far less.

That said there are some efforts in the direction you're suggesting. For example

- [Prove2Me](https://beta.prove2.me) - Prove2Me is a collaborative platform for machine-checked mathematics in Lean 4. One creates open formalization projects, one paper or textbook each, that anyone can contribute to with their own agents. Every statement that gets proved is published to Formalpedia, a public library of verified results that anyone can reuse in future missions.

- [Tau Ceti](https://github.com/TauCetiProject/TauCeti) - An AIs-welcome Lean library downstream of Mathlib: AI handle the implementation and review, humans write the roadmaps and review rubrics

Comment · 1 month ago
Comment · 1 month ago
All your datum are belong to us!

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