The quantum process where black holes emit particles due to vacuum fluctuations near the event horizon.Hawking radiation is the theoretical process by which black holes emit particles and slowly lose mass, eventually evaporating entirely. It arises from quantum vacuum fluctuations near the event horizon, where particle-antiparticle pairs are constantly created and annihilated. When one member of a pair falls into the black hole while the other escapes, the escaping particle carries away energy, effectively reducing the black hole's mass. This mechanism bridges general relativity and quantum mechanics, suggesting that black holes are not entirely black but glow faintly with a temperature inversely proportional to their mass.
Stephen Hawking derived this effect in 1974, building on earlier work by Jacob Bekenstein on black hole thermodynamics. The prediction was a landmark in theoretical physics, unifying quantum field theory with general relativity.
Near the event horizon, the gravitational field is so intense that it can tear apart virtual particle-antiparticle pairs that spontaneously appear in the quantum vacuum. One particle falls into the black hole (with negative energy, reducing the black hole's mass), while the other escapes to infinity as real radiation. The escaping particles form a thermal spectrum with a temperature T = ℏc³/(8πGMk_B), meaning smaller black holes emit more intensely. Over immense timescales, this leakage causes the black hole to shrink and eventually explode.
While Hawking radiation is too faint to observe from astrophysical black holes, it guides research on primordial black holes (potential dark matter candidates) and informs theoretical models of quantum gravity, including the black hole information paradox.
A black hole with the mass of Mount Everest would emit Hawking radiation at a temperature of about 0.1 kelvin, but would still take billions of years to evaporate.
| \tau_{BH} | variable | Evaporation time of the black hole — time second |
| M_{BH} | variable | Mass of the black hole — mass kilogram |

















