This page computes the Hawking temperature of a Schwarzschild black hole, T_H = hbar c^3 / (8 pi G M k_B), and checks it against the published reference value for a one-solar-mass black hole. It runs in your browser with no install, deterministically, as a bridge to HPC rather than a surrogate for it. A researcher can confirm the precision behavior in seconds before committing cluster time.
6.16868e-8 K at one solar mass, 0.0052% from the 6.169e-8 K reference
The GeoNum drift-tracked precision chain evaluates T_H = hbar c^3 / (8 pi G M k_B) for M = 1 solar mass and returns 6.16868e-8 K. The reference value is quoted to four significant figures as 6.169e-8 K, so the 0.0052% gap is the rounding of the reference and sets no lower bound on the error of the evaluation.
The Hawking temperature is evaluated from the closed-form expression T_H = hbar c^3 / (8 pi G M k_B) using CODATA 2022 values for the fundamental constants. The evaluation is carried out through the VaultSync GeoNum drift-tracked precision chain, which reports a drift figure alongside the value. Plain IEEE double precision computes the same temperature correctly as well. What the GeoNum run adds is the drift report, which reads zero for this evaluation.
This validates the precision system on a closed-form formula at one reference mass. It is not a derivation of Hawking radiation; the formula is the published closed form.
Run it yourself. The computation is deterministic and runs in your browser.
Open black-hole thermodynamics in GDBS See the full validation table