Discussion Overview
The discussion focuses on the relationship between Hawking radiation and a black hole's mass, specifically exploring how these factors influence the time it takes for a black hole to dissipate. The context includes theoretical considerations and calculations related to black holes, particularly in light of concerns about potential black holes created at the LHC.
Discussion Character
- Exploratory, Technical explanation, Mathematical reasoning
Main Points Raised
- One participant inquires about the relationship between the amount of Hawking radiation emitted by a black hole and its mass or Schwarzschild radius, seeking a formula for this relationship.
- Another participant provides a formula related to Hawking radiation, suggesting that the time for a black hole to dissipate can be expressed as t = m^3 / (3K), where K is a constant.
- The value of K is specified as 3.98 x 10^15, but its derivation or implications are not discussed in detail.
Areas of Agreement / Disagreement
The discussion does not present a consensus on the relationship between Hawking radiation and black hole mass, as participants have not fully explored or validated the proposed formula.
Contextual Notes
The discussion lacks detailed derivations of the formula provided and does not clarify the assumptions or conditions under which it applies. There is also no exploration of the implications of the LHC black holes mentioned.