Coulomb's Law at Very Short Distance Scales

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Discussion Overview

The discussion centers on the validity of Coulomb's law at very short distance scales, particularly in relation to the breakdown of the law at distances shorter than 10^-14 cm. Participants explore theoretical implications and historical context regarding charge renormalization and its effects on Coulomb's law.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant references Feynman Lectures, suggesting that Coulomb's law may break down at distances shorter than 10^-14 cm, indicating that this question remains open.
  • Another participant asserts that Coulomb's 1/r² law breaks down at distances shorter than the electron Compton wavelength (~3.8 x 10^-11 cm) due to charge renormalization, citing historical knowledge from around 1935.
  • A participant requests a simple explanation for the breakdown of Coulomb's law.
  • Another participant provides a link to a resource and references E. A. Uehling's work from 1935 for further reading on the topic.

Areas of Agreement / Disagreement

Participants express differing views on the specific distance scales at which Coulomb's law breaks down, with some proposing different thresholds and mechanisms. The discussion remains unresolved regarding the precise nature and implications of these breakdowns.

Contextual Notes

The discussion highlights the dependence on definitions of distance scales and the historical context of charge renormalization, with some assumptions about the applicability of Coulomb's law remaining unaddressed.

Djinn
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I read in the Feynman Lectures, section 5-8 in Volume 2, that Coulomb's law may begin to break down at distance scales shorter than 10^-14 cm.

Feynman says that, at the time of his lecture, the question was still open. Does anyone have any new information on this question?

Thanks,

Djinn
 
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Coulomb's 1/r2 Law breaks down at distances shorter than an electron Compton wavelength (~3.8 x 10-11 cm) due to charge renormalization (Uehling equation). This renormalization has been known since about 1935. Are you talking about something else?
Bob S
 
Is there a simple explanation to this break down?



DaTario
 

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