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James Way

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- Thread starter James Way
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In summary, the conversation discusses exponential growth and decay in nature and specifically focuses on the effects of Hawking Radiation on black holes. The speaker is seeking help in understanding how the mass and temperature of black holes change over time and how to calculate them. The Bekenstein-Hawking formula is mentioned, along with the equations for calculating mass and temperature in relation to entropy. The conversation also mentions the Stefan-Boltzmann law for understanding the changes in mass and temperature over time.

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James Way

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Astronomy news on Phys.org

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James Way

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Simplified, why are these decreases(in mass) and increases(in heat) expoenential.

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James Way

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*exponential

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GW150914

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According to theJames Way said:how the mass and temperature change over time and how to calculate them

By the way, according to the Stefan-Boltzmann law, $$\frac{{\rm d}M}{{\rm d}t}=-\sigma AT^4$$ and thus you can know how the mass and temperature change over time.

Hawking Radiation is a theoretical concept proposed by physicist Stephen Hawking in 1974. It suggests that black holes emit radiation due to quantum effects near the event horizon, resulting in a gradual loss of mass over time.

The temperature of a black hole decreases as it emits Hawking Radiation, since the radiation carries away energy from the black hole. This is known as the Hawking temperature, and it is inversely proportional to the mass of the black hole.

Yes, according to Hawking's theory, black holes with a very small mass will eventually evaporate completely due to Hawking Radiation. However, the time scale for this process is incredibly long, on the order of 10^67 years for a black hole with the mass of the sun.

Hawking Radiation challenges the idea that black holes are completely "black" and do not emit any radiation. It also raises questions about the conservation of energy and information in the universe, as the radiation carries away energy and information from the black hole.

Currently, there is no direct experimental evidence for Hawking Radiation. However, indirect evidence has been observed through observations of black holes and their surroundings, as well as theoretical calculations that align with Hawking's predictions.

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