PhysLean

Four more projects added to the PhysLean ideas website:

physlean.com/ProjectIdeas

⭐️ Planck’s theory of blackbody radiation
💧 Hydrodynamic drag
🌊 Boltzmann equation
⚡️ Larmor formula

PhysLean news this week, in summary:

✅ Progress made on the units API following a conversation on the Zulip.

✅ The first steps have been made towards the reflectionless potential in quantum mechanics.

✅ New results related to the exponential map of the Lorentz group.

#physics #LeanLang

YouTube video by Joseph Tooby-Smith Defining time in PhysLean

New video on the definition of 'time' in PhysLean:

www.youtube.com/watch?v=GnTQ...

#physics

News from PhysLean this week:

In short: we had a properties of the electric field of a 1d charged particle in relation to improvements to distributions, improvements to the 1d classical harmonic oscillator, and properties of the Lorentz algebra.

#LeanLang #Physics

physlean.com

There is lots of potential for follow up results, including, naturally the 3d version, and generalizations to planes and lines of charges. See the project here:

Since the charge density of a point particle is a dirac delta function, the proof of this result requires use of distributions, and thus creating an API for distributions that aligns with the physicists needs and approaches, which has been done!

A charged point particle in 1 dimension generates a constant electric field in each direction pointing away (or towards depending on the charge) from it. Physically this makes sense, since there is nowhere for the 'electric flux' to spread out.

We now have a proof of this in PhysLean!

Weekly updates from PhysLean:

In short: We had the first steps towards an API for distributions for physicists, some work done in F-theory, and some cleaning up of the code base and website.

#physics #lean

The PhysLean website now contains a 'project ideas' page, if you want to get involved in the project but don't know what to do:

🔗 physlean.com/ProjectIdeas

If you are a physicists and have any ideas of what you would like formalizing, would love to hear them!

#physics #science

Some updates from PhysLean this week! All can be viewed here:

🔗 github.com/HEPLean/Phys...

#physics #science

New things from the last week in PhysLean:

#physics

The Euler-Lagrange equations form the foundation to classical mechanics and are used in many other parts of #physics. Today, thanks primarily to Tomas Skrivan, we merged the proof of Euler-Lagrange equations from the principle of least action into PhysLean!

Pleased to see that PhysLean has appeared in this paper:

🔗https://arxiv.org/abs/2506.16596

On knowledge resources for AI.

💻 Updates to the PhysLean Website

physlean.com

The PhysLean website has been updated to make it easier to navigate to various parts of the project including:

- getting started page,
- loogle search for PhysLean,
- online playground,
- Zulip discussion forum,
- and more!

#physics

YouTube video by Joseph Tooby-Smith PhysLean: Questions and answers about the project

Want to learn more about PhysLean and what the project is about, and the motivations behind it?

Take a look at this video:

www.youtube.com/watch?v=Q4HZ...

GitHub - HEPLean/PhysLean: A project to digitalise results from physics into Lean. A project to digitalise results from physics into Lean. - HEPLean/PhysLean

This is a new account for news related to the project PhysLean. A project to digitalize #physics results into the interactive theorem prover Lean 4.

See the link below if you are interested in the project:

github.com/HEPLean/Phys...