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Hawking radiation

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Hawking radiation is a theoretical form of black-body radiation. It is released just outside the event horizon of a black hole. This process occurs because of quantum effects in the vacuum of space. Before this discovery, scientists believed black holes were completely dark. They thought nothing, not even light, could ever escape once it crossed the event horizon. Stephen Hawking changed this view in 1974. He showed that black holes actually emit small amounts of thermal radiation. This discovery connects the physics of the very large with the physics of the very small.

Andrew Hamilton schwarzchild waterfall
Andrew Hamilton schwarzchild waterfall

The mechanism relies on quantum fluctuations in the vacuum. In quantum field theory, empty space is not truly empty. Instead, pairs of particles constantly pop into existence due to vacuum fluctuations. These particles usually appear together and then immediately annihilate each other. However, near an event horizon, something different happens. A pair might appear right at the edge of the horizon. One particle falls into the black hole, while the other escapes into space. The escaping particle becomes Hawking radiation. Because the escaping particle carries energy away, the black hole loses a tiny bit of its mass.

This radiation leads to a process called black hole evaporation. As a black hole emits particles, it loses mass and rotational energy. This loss of mass causes the black hole to shrink. If a black hole does not gain mass from other sources, it will eventually vanish entirely. The temperature of this radiation is known as the Hawking temperature. This temperature is inversely proportional to the black hole's mass. This means that smaller black holes are much hotter than larger ones. A very large black hole is extremely cold and evaporates very slowly. Conversely, a tiny black hole is very hot and evaporates very quickly.

Primordial black holes infographic
Primordial black holes infographic

The history of this idea involves many brilliant scientists. Albert Einstein first predicted black holes in 1915 with his theory of general relativity. Later, researchers like Karl Schwarzschild and John Wheeler modeled them. In 1971, Yakov Zeldovich and Alexei Starobinsky suggested rotating black holes might emit particles. In 1972, Jacob Bekenstein proposed that black holes have entropy, which is a measure of disorder. Bekenstein argued that entropy is proportional to the surface area of the event horizon. Stephen Hawking combined Bekenstein's entropy ideas with quantum field theory. Because of this shared work, the radiation is often called Bekenstein–Hawking radiation.

We can use specific numbers to understand the scale of this effect. For a black hole with the mass of Earth, the temperature is incredibly low. It would be about 0.02 Kelvin. Most stellar-mass black holes are also colder than the cosmic microwave background radiation. The background radiation of the universe is about 2.7 Kelvin. Because they are colder than space, these large black holes cannot evaporate easily. However, very small black holes behave differently. If a primordial black hole had a mass of less than 10^12 kg, it would have evaporated by now. These tiny black holes would end their lives in a violent burst of high-energy gamma rays.

Primordial black holes infographic
Primordial black holes infographic

Black hole evaporation creates a major problem called the black hole information paradox. According to quantum mechanics, information about the state of a system should not be destroyed. However, Hawking radiation appears to be completely random. If a black hole evaporates completely, the information that fell into it seems to vanish. This contradicts our current understanding of physics. Scientists have proposed several solutions to this mystery. Some suggest the radiation contains hidden information. Others think a small remnant particle might remain after the evaporation is finished. This remains one of the most important questions in modern science.

Primordial black holes infographic
Primordial black holes infographic

This topic connects several major fields of physics together. It brings together general relativity, which explains gravity, and quantum field theory, which explains particles. It also introduces black hole thermodynamics. This field treats black holes like heat engines that have temperature and entropy. The study of Hawking radiation helps scientists look for a single theory of quantum gravity. Such a theory would explain how gravity works at the smallest possible scales. While we have not yet detected Hawking radiation with telescopes, the math suggests it is a real part of our universe.

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File:Andrew Hamilton schwarzchild waterfall.gif
Andrew Hamilton schwarzchild waterfall.gif
File:Bekenstein-Hawking entropy of a black hole.jpg
Bekenstein-Hawking entropy of a black hole.jpg
File:Primordial black holes infographic.jpg
Primordial black holes infographic.jpg
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