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tzimie
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Simple questions. There is a formula for the POWER of Hawking radiation, but what's about it's spectrum? What is the shape of the power/wavelength curve?
atyy said:Hawking radiation has a thermal spectrum, which is an amazing result allowing us to assign a temperature to a black hole. This is generally considered an amazing clue linking thermodynamics, quantum mechanics and gravity.
The Spectrum of Hawking Radiation refers to the range of electromagnetic radiation emitted by a black hole due to the Hawking radiation process. This process involves the spontaneous emission of particles from the event horizon of a black hole, causing it to slowly lose mass over time.
The Spectrum of Hawking Radiation is determined by the temperature of the black hole, which is inversely proportional to its mass. As the black hole loses mass through Hawking radiation, its temperature increases and the range of emitted radiation shifts to higher frequencies.
The Spectrum of Hawking Radiation provides valuable insights into the properties of black holes, such as their mass and temperature. It also helps to confirm the existence of Hawking radiation and the validity of quantum field theory in the presence of gravity.
Currently, the Spectrum of Hawking Radiation cannot be directly observed due to the extremely low temperatures of black holes and the limitations of current technology. However, indirect evidence of Hawking radiation has been observed through the effects it has on the evaporation and properties of black holes.
The Spectrum of Hawking Radiation plays a crucial role in the ongoing debate about the information paradox in black holes. Some theories suggest that the information of particles that fall into a black hole is lost forever, while others propose that it is encoded in the Hawking radiation. The exact nature of the Spectrum of Hawking Radiation could potentially help to resolve this paradox.