A magic number or only a number?

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SUMMARY

The discussion centers on the ratio of gravitational force to electric force between two electrons, yielding a value of approximately \( \frac{1}{4.17 \times 10^{42}} \). Participants explore whether this number holds any significant meaning, such as being a constant or having a relationship with the age of the universe. The conversation also references P. Dirac's Large Number Hypothesis, suggesting a potential connection to this ratio. Overall, the community expresses curiosity about the implications of this number in physics.

PREREQUISITES
  • Understanding of gravitational and electric forces
  • Familiarity with fundamental physics concepts
  • Knowledge of P. Dirac's Large Number Hypothesis
  • Basic mathematical skills for ratio calculations
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  • Explore the implications of force ratios in particle physics
  • Investigate the significance of dimensionless numbers in physics
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Physicists, students of theoretical physics, and anyone interested in the fundamental forces of nature and their implications in cosmology.

Ssnow
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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:

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

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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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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