B A magic number or only a number?

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The discussion centers on the gravitational force and electric force between two electrons, highlighting the significant ratio of these forces, approximately 1/4.17 x 10^42. Participants ponder the meaning of this number, questioning whether it is a constant, if it relates to the age of the universe, or if it is merely a coincidence. The conversation also references P. Dirac's Large Number Hypothesis, suggesting a potential connection to the discussed ratio. Overall, the participants express curiosity about the implications of this ratio in physics.
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Hi to all entire community,
I was reading the book of R.Feynmann: "Six easy pieces" when at certain point He started to consider the gravitational force ##F_{g}## and the electric force ##F_{e}## of a system composed by two electrons fixed at a certain distance (I think electrons are in the empty space). The interesting fact is that when you examine the ratio you find this pure number:

\frac{F_{g}}{\left|F_{e}\right|}\,=\,\frac{1}{4,17\cdot 10^{42}}

The questions for the discussion are: has this number some significant meaning? It is a constant number? There is some relationship between this number and the age of the universe ? or it is simply a number?

Ps. I know these questions are unanswered but if somebody has some news or some connection with similar problems
we can satisfy partially the curiosity...
Thanks,
Ssnow
 
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Have you encountered P Dirac's Large Number Hypothesis?
 
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Likes Klystron and Ssnow
hutchphd said:
Have you encountered P Dirac's Large Number Hypothesis?

No never, but now that I can see on Wiki I found it! In fact seems to be a coincidence, at least approximatively ...
Ssnow
 
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