PhysLean (@physlean) 's Twitter Profile
PhysLean

@physlean

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calendar_today18-06-2025 13:38:59

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PhysLean (@physlean) 's Twitter Profile Photo

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

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

PhysLean now has a proof of this!
PhysLean (@physlean) 's Twitter Profile Photo

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

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 (@physlean) 's Twitter Profile Photo

PhysLean news this week: ✅ 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

PhysLean news this week:
✅ 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
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Four more projects added to the PhysLean ideas website: physlean.com/ProjectIdeas ⭐️ Planck’s theory of blackbody radiation 💧 Hydrodynamic drag 🌊 Boltzmann equation ⚡️ Larmor formula

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Summary of this week in PhysLean: API improvments for finite-dimensional quantum systems, and charges in F-theory. Creation and annihilation in the reflectionless potential in QM Fundamental theorem of variational calculus proof. Zulip proposal for forming teams with roles.

Summary of this week in PhysLean:

API improvments for  finite-dimensional quantum systems, and charges in F-theory.
Creation and annihilation in the reflectionless potential in QM
Fundamental theorem of variational calculus proof. 
Zulip proposal for forming  teams with roles.
PhysLean (@physlean) 's Twitter Profile Photo

(Delayed) summary of this (/last) week in PhysLean: Discussions on Zulip about documentation and on-boarding. Improvements the issue tracker around bumps. Better API for Time, and properties of tanh for QM. #physics #LeanLang

(Delayed) summary of this (/last) week in PhysLean:

Discussions on Zulip about documentation and on-boarding.  Improvements the issue tracker around bumps. Better API for Time, and properties of tanh for QM.

#physics #LeanLang
PhysLean (@physlean) 's Twitter Profile Photo

Tutorial on how to add informal results to PhysLean - to do this you need know Lean background, just a knowledge of some areas of physics, and it is incredible helpful! youtube.com/watch?v=f9kJyQ… #physics #LeanLang

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If you want to follow what happens on PhysLean, the best way is to "watch" the project, and set the notification level to custom -> Pull Requests. This way you will get notifications of things being added to the project, and maybe you can spot something you are interested in!

If you want to follow what happens on PhysLean, the best way is to "watch" the project, and set the notification level to custom -> Pull Requests.
This way you will get notifications of  things being added to the project, and maybe you can spot something you are interested in!
PhysLean (@physlean) 's Twitter Profile Photo

Tutorial on how to contribute to PhysLean through golfing proofs🏌 : 📽️ youtube.com/watch?v=QL-mjk… This is a good way to get involved if you are new to Lean but want to get stuck in. #physics #LeanLang

PhysLean (@physlean) 's Twitter Profile Photo

Can you help PhysLean make better documentation for the classical harmonic oscillator? If so take a look at this link where you can review what we currently have and make suggestions for improvements! 🔗 github.com/HEPLean/PhysLe…

PhysLean (@physlean) 's Twitter Profile Photo

If you are interested in helping PhysLean with it's documentation take a look at this message on the Lean Zulip: leanprover.zulipchat.com/#narrow/channe…

PhysLean (@physlean) 's Twitter Profile Photo

Here are some slides on PhysLean for a talk given at the EuroProofNet Workshop on Proof Libraries: josephtoobysmith.com/Slides/Orsay20… #physics #LeanLang

PhysLean (@physlean) 's Twitter Profile Photo

Have been having fun making some graphs related to PhysLean! Here is one for the proof of Wick's theorem, which is the precursor to Feynman diagrams (discussed in arXiv:2505.07939)! Graph made using: github.com/leanprover-com…

Have been having fun making some graphs related to PhysLean! Here is one for the proof of Wick's theorem, which is the precursor to Feynman diagrams
(discussed in arXiv:2505.07939)!

Graph made using:

github.com/leanprover-com…
PhysLean (@physlean) 's Twitter Profile Photo

Yesterday we posted a graph for the formalization of Wick's theorem, today I made a little web-applet that allows you to explore interconnected files in PhysLean: 🔗josephtoobysmith.com/Slides/PhysLea… As a specific example: josephtoobysmith.com/Slides/PhysLea…

PhysLean (@physlean) 's Twitter Profile Photo

A talk on PhysLean for physics undergraduates can be found here: youtube.com/watch?v=qcTfXv… Part of a practice for a talk to be given tomorrow.

PhysLean (@physlean) 's Twitter Profile Photo

Recently added to the PhysLean website is a new tracking graph for documentation and instructions on how you can help contribute! See the link below: physlean.com/DocumentationT… #physics #LeanLang

PhysLean (@physlean) 's Twitter Profile Photo

An AI summary of PhysLean's commits from this month: added norm props, time/space integrals & radial angular measure; EM improvements (potentials, constants, plane waves); Lorentz action on distributions; FLRW cosmology formalization; plus refactors, linting & docs.