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Digitalizing physics into Lean 4
Joseph Tooby-Smith, University of Bath
Slides at: https://josephtoobysmith.com/Slides/Orsay2025.html
A story
Wavelength
Spectral Radiance
Physics-math spectrum?
This:
Physics
Mathematics
Physics
Mathematics
Experiment
Theory
Mathematical
Physics
Physics
Pure Math
PhysLean
The community
20 contributors to the project, and over 100 people in the Zulip channel.
How do we include the physics context?
Four important questions
Four important questions
Who is this project for?
Why is this an important question:
Google wave
Microsoft Zune
Who is this project for?
The average physicist
Different rules of engagement apply.
What does it mean in practice?
Four important questions
The statistics
What is currently in PhysLean?
Classical harmonic oscillator
Quantum harmonic oscillator
Maxwell's equation
Lorentz group
Twin paradox
Tight binding chain
Anomaly cancellation
Wick's theorem
String theoretic
Image credit: Shlok Vaibhav
Infarstructure
Four important questions
Difficulties in formalizing physics?
Def'n space of
some quantity X
some quantity X
Acceptable Lean
def'ns
def'ns
Math
def'n
def'n
Physics
def'n
def'n