Hawking Temperature Calculator
The ether horizon at r = rs — where inflow velocity equals c — emits thermal radiation at the Hawking temperature (Theorem 3.7, Eq 3.220). Virtual ZPF fluctuations are torn apart by the velocity gradient; one component escapes as real radiation. For rotating black holes, the Kerr correction (Eq 3.224) reduces TH toward zero at the extremal limit.
0 = Schwarzschild, 1 = extremal (maximal rotation)
Results for M = 10.0 M⊙ (Schwarzschild)
- Hawking temperature TH
- 6.168e-9 K
- Schwarzschild radius rs
- 29541.3 m
- Surface gravity κ
- 1.521e+12 m/s²
- Peak wavelength λpeak
- 469785.5 m
- Luminosity (greybody ~0.01)
- 9.00e-33 W
- Evaporation time
- 2.1e+70 yr
- TH vs CMB (2.725 K)
- Absorbs CMB (net growth)
Verification Against Monograph
The Ether Mechanism
The ether flows radially inward at velocity v(r) = c√(rs/r). At the horizon, v = c. The ZPF modes of the ether — virtual fluctuations that form the vacuum ground state — are split by the velocity gradient: one component is swept inward, the other escapes as real thermal radiation.
The temperature depends only on the surface gravity κ (the velocity gradient at the horizon), giving TH = ℏκ/(2πkBc). For Kerr black holes, spin reduces κ toward zero at the extremal limit, suppressing the radiation.
Beta Tools are under active development. Equations are verified against the monograph but outputs may be refined. Report an issue