BedVibe_Studios

Author here. This is reproduction, not new physics — Page did it in 1976 and it has been standard ever since.

What I actually wanted to know was how you validate numerical code when there is no experiment to check against. The thing that worked: test against analytic limits the code cannot fit. At low frequency the greybody factor has a known closed-form coefficient of 4/9. My solver extrapolates to 0.44441988, and 4/9 appears nowhere in the code — it can't be tuned to, because it isn't an input.

The other useful habit was keeping a monitor I never optimised. Flux conservation is imposed nowhere in the solver, so it's free. It caught a real bug that the answer itself was hiding — the spectrum looked entirely reasonable.

One correction is in the post. An earlier draft compared against a four-significant-figure value for Page's total power that I had taken from a secondary source and never verified. It is not in his abstract. Retracted, and the comparison now uses his published figures — which are one significant figure, so the honest claim is consistency at that precision, not a 1% validation.

I found answers from free tier models to be harmful, so helping humans in general isn't what I actually noticed here.

If that is truth its scary of how many projects use that cause it's supposed to be reliable.

This feels like the database equivalent of "use the right data structure." We've spent two years assuming the biggest general-purpose model should do everything. It makes more sense for retrieval, reranking, reasoning, and generation to each have their own optimized model if the routing cost is negligible.