White dwarf quantum tunnelling

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Discussion Overview

The discussion revolves around the concept of quantum tunneling in white dwarfs, particularly in relation to the timescales involved in this process. Participants explore the implications of quantum tunneling on the future of white dwarfs and seek to understand the calculations behind these timescales.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions the timespan associated with quantum tunneling in white dwarfs, noting that while it may be described as "forever," they seek a more precise understanding of the actual duration.
  • Another participant provides the volume of a white dwarf, comparing it to Earth's volume, and expresses interest in determining how many atoms or particles would need to undergo quantum tunneling.
  • A reference to John Baez's work is mentioned, which discusses the long-term future of white dwarfs and suggests a timescale of approximately 10^1500 years for certain processes to occur.
  • Participants express uncertainty regarding the details of Baez's calculations and suggest that further references may contain the necessary information.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specifics of the timescales or the calculations involved in quantum tunneling in white dwarfs. Multiple viewpoints and uncertainties remain present in the discussion.

Contextual Notes

The discussion highlights the complexity of estimating timescales for quantum tunneling processes and the potential dependence on various assumptions and definitions that are not fully explored.

YoungPhysicist
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I just finished watching the video "The Last Light Before Eternal Darkness – White Dwarfs & Black Dwarfs"
At 5:17 he mentioned quantum tunneling will take up a timespan so long that calling it forever is ok.

But nothing takes forever,so,how long will it actually take?



ps:I later realized that this will be an extremely tricky problem to answer so just to make things clear, I am not in a rush of any kind :)
 
Last edited:
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Update: White dwarf's volume ≈ 1.08321 x 1027cm3

Process:It is said that white dwarfs has approximately the volume as earth.
Wikipedia shows that Earth's volume is 1.08321 x 1012km3, which equals to 1.08321 x 1027cm3

Reason: I want to reduce this entire problem to "how many atoms/particles needs to experience quantum tunnelling".
 
PeterDonis said:
John Baez discusses this (along with a lot of other things that could happen in the really, really far future) here:

http://math.ucr.edu/home/baez/end.html
In the article, he says that it will take roughly 101500years for it to occur, how does he calculate/assume that?
 
Young physicist said:
how does he calculate/assume that?

I'm not sure of the details of the calculation; it's possible that they are in one of the references he gives at the end of the article.
 

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