Manuscript Hawk01-A@1 · Hawk01-A.tex · section · 11979653

Astrophysical temperature scales

The four-dimensional semiclassical source › Astrophysical temperature scales · lines 527–577

Hawk01-A@1#eq:temperatureSI, Hawk01-A@1#tab:masses

Restoring SI units,

T_{H} (M) = \frac{ℏ c ^{3}}{8 π G k _{B} M} ≃ \frac{1.227 \times 1 0 ^{23} K kg}{M} .

Using the displayed SI constants and the conventional numerical mass $M_{⊙} = 1.9885 \times 1 0^{30} kg$ , the proposed study points give Table tab:masses. The conversion should not be confused with treating the solar mass itself as an exact SI defining constant NISTConstants,Mamajek2015.

-temperature scales, not identified target objects or completed detector forecasts.

Adopted mass	$T_{H}$	$k_{B} T_{H}$
$10 M_{⊙}$	$6.17 \times 1 0^{- 9} K$	$5.32 \times 1 0^{- 13} eV$
$1 0^{11} kg$	$1.227 \times 1 0^{12} K$	$105.7 MeV$
$1 0^{12} kg$	$1.227 \times 1 0^{11} K$	$10.57 MeV$
$1 0^{13} kg$	$1.227 \times 1 0^{10} K$	$1.057 MeV$

For these numerical conversions we used $G = 6.67430 \times 1 0^{- 11} m^{3} k g^{- 1} s^{- 2}$ , $c = 299792458 m s^{- 1}$ , $k_{B} = 1.380649 \times 1 0^{- 23} J K^{- 1}$ , and $ℏ ≃ 1.054571817 \times 1 0^{- 34} J s$ . The table does not import a lifetime estimate, assert the existence of a suitable primordial object, or replace the species and background calculations needed for a count forecast.

Displayed formulas in this passage

Hawk01-A@1#eq:temperatureSI · line 530
$T_{H} (M) = \frac{ℏ c ^{3}}{8 π G k _{B} M} ≃ \frac{1.227 \times 1 0 ^{23} K kg}{M} .$