This computes the perturbative QED coefficients of the electron anomalous magnetic moment (g-2), order by order, directly in your browser. A researcher wanting to check these coefficients can run the calculation with no install and a deterministic result, as a fast bridge step before committing HPC time.
Orders 1-3: exact closed forms reproduced to floating point Verified
c4 = -1.912980000003 (residual 3.497e-12)
c5 = +7.795000000002 (residual 1.824e-12)
Orders 4 and 5 are reproduced by a substrate cascade closure whose closed form was found by a search targeting those same published values, so the agreement is reproduction and not an independent check.
The first three coefficients reproduce the exact closed forms to floating point (the Schwinger 1/2 term and the order-2 and order-3 closed forms). Orders 4 and 5 are reproduced by a substrate cascade closure: the closure selects a multiple zeta value (MZV) basis, and the resulting coefficients are c4 = -1.912980000003 (residual 3.497e-12) and c5 = +7.795000000002 (residual 1.824e-12), both landing at the published values to the f64 floor. That closure is not independent of the values it lands on, because the candidate form was accepted by a discovery search on the criterion of matching them.
Orders 1-3 are verified exact-form reproductions, and they are the rows that carry a genuine pass: their closed forms were published before this work and were not fitted to anything.
Orders 4-5 land at the published values to the f64 floor, but they cannot pass, and that is the correct outcome rather than a solver fault. Their closed forms were selected by a search over a substrate-constrained ansatz space whose acceptance criterion was landing inside the published error bar, so the later comparison against that same bar is guaranteed by construction and carries no discriminating power. A residual, however small, cannot validate a form that was fitted to the value it is checked against. The shipped validator reports these two rows as not passing for this reason.
None of the five orders is a first-principles independent prediction of the experiment.
The calculation is deterministic and runs in your browser.