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As the universe expands and cools, however, eventually the black hole may begin to lose mass-energy through Hawking radiation. Indeed, any black hole with a mass greater than about 0.75% of the Earth's mass is colder than the cosmic background, and thus its mass increases for now. So rather than shrinking, it would continue to grow. Therefore, whatever little energy it radiates, it actually receives more in the form of heat from the cosmos. But that does not take into account the fact that such a black hole is colder than the cosmic microwave background radiation bathing it. The lifetime of a $1~M_\odot$ black hole, therefore, is calculated as nearly 57 orders of magnitude longer than the present age of the universe. Our physicists’ team constantly create physics calculators, with equations and comprehensive explanations that cover topics from classical motion, thermodynamics, and electromagnetism to astrophysics and even quantum mechanics. The latest version also correctly accounts for the black hole's effective area, light scattering, and the resulting change in its evaporation lifetime. The drop-down menus select the units of measure to be used for their corresponding input field.Īn added feature is the calculation of the "peak photon" wavelength, corresponding frequency, and photon energy, representing the peak of the blackbody radiation curve per unit logarithm (of wavelength or frequency) that corresponds to the black hole temperature. I kept the unit, but decided to use instead the much more useful value of one solar mass as the initial mass.Īs in Wisniewski's version, specifying any quantity causes the others to be recalculated accordingly (see source).
#Physics calculator online code
Wisniewski's original code included a fictitious unit of mass, the "standard industrial neuble", equivalent to a billion metric tons, from Will McCarthy's novel The Collapsium. The original idea belongs to Jim Wisniewski, whose page from 2006 ( link) appears to be no longer available available again, but since it is not archived by the Wayback Machine, I think my functional clone is still useful. This page contains a JavaScript calculator of Hawking radiation and other parameters of a Schwarzschild black hole.