Primus for Physics
Physics is now a specialization you can select in Primus, available to everyone. It does the calculations physicists do every day, and then it checks the answer.
The work you rarely have time to check line by line
Deriving an equation of motion
From a Lagrangian or Hamiltonian to the equations that govern the system.
Working out an effective Hamiltonian
Reducing a full model to the Hamiltonian that matters at the scale you care about.
Evaluating an integral
In closed form where one exists, to high precision where it doesn’t.
Taking a limit
And confirming it behaves: limiting cases and asymptotics, checked rather than assumed.
It doesn’t just do the work. It checks the answer.
Machine-checked with Physlib
Physlib is the Lean physics library covering classical mechanics, electromagnetism, relativity, statistical mechanics and QFT.
Recomputed independently
Results are recomputed in sympy, scipy and mpmath, separately from the derivation that produced them.
Closed forms from PSLQ
When a result exists only as a number, PSLQ proposes a closed form and Primus tests it.
From a number to a formula
Plenty of calculations end in a number: a sum evaluated numerically, an integral done by quadrature. PSLQ searches for an exact expression that matches it, built from constants like π, ζ(3) and log 2.
A match isn’t a proof, so Primus treats it as a proposal and tests it before it goes in the write-up.
Every result says how it was established
- Machine-checked
Proved in Lean and verified by the computer.
- Verified by computation
Recomputed independently and found to agree.
- Heuristic
Supported by the evidence, and labeled as not yet established.
Trace any claim back to the steps that produced it
All calculations are in the activity log. When the write-up states a result, you can follow it back through the runs and reasoning behind it, including what failed along the way.
Physics is now a specialization in Primus, available to everyone.
Sign in, create a project, and choose the Physics specialization.