Dependence of size on electrical permittivity

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    Electrical Permittivity
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SUMMARY

The discussion centers on the theoretical implications of altering the electrical permittivity of vacuum on atomic and material sizes. A physicist seeks to understand how interatomic distances in solids relate to electrical permittivity (E), positing that all atomic distances would scale uniformly with changes in E, regardless of bonding type. The inquiry emphasizes the need for a definitive scaling formula that connects these concepts. The conversation highlights the intersection of fundamental physics with cosmological considerations.

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  • Understanding of electrical permittivity and its role in physics
  • Familiarity with atomic structure and interatomic forces
  • Knowledge of Lennard-Jones potential and Van der Waals forces
  • Basic principles of cosmology and their relation to physical constants
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  • Research the relationship between electrical permittivity and atomic structure
  • Explore scaling laws in physics related to fundamental constants
  • Investigate the effects of varying magnetic permeability on material properties
  • Study the implications of altered physical constants in cosmological models
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Physicists, materials scientists, and researchers interested in the fundamental properties of matter and the theoretical implications of changing physical constants.

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Imagine that one could alter the electrical permittivity or the magnetic permeability of the vacuum. How would this affect for instance the size of an atom or the size/length of a piece of material ?
 
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What do you think?

This looks like it might be a homework/textbook problem, so we require you to first show us what you think.
 
Gokul43201 said:
What do you think?

This looks like it might be a homework/textbook problem, so we require you to first show us what you think.
If it was so simple as a homework/textbook problem, I would not have asked for help (being a physicist). I know about all kinds of different bonds, Lennard-Jones potential, Van der Waals forces and all that stuff. I could not find out however how the interatomic distance in a solid for instance depends on the electrical permittivity (E). What I expect (but could not prove) is that the atom size or atomic distance depends always in the same way on E, such that if one could change the permittivity (thought experiment) of the vacuum that all distances would scale in exactly the same way, independent of the type of bond (or the atom considered). So, it would be nice if some of the experts in this forum could come with a simple, founded, scaling formula.

My motivation for this question is based on cosmological considerations, but this is another story (which I don't want to mix with this more down to Earth question).
 

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