Discussion Overview
The discussion revolves around the dimensional analysis of electric charge, specifically seeking an experimental method to derive its dimensions in terms of mass (kg), length (m), and time (s). Participants explore the implications of assuming permittivity as dimensionless and reference Coulomb's law in their arguments.
Discussion Character
- Exploratory, Technical explanation, Debate/contested
Main Points Raised
- One participant requests an experiment to determine the dimensions of electric charge, suggesting the answer is kg^(1/2)*m^(3/2)/s.
- Another participant argues that if permittivity is dimensionless, then from Coulomb's law, the dimensions of charge squared over distance squared equate to force, which could support the dimensional analysis.
- A third participant references Max Born's work on Einstein's theory of relativity, questioning the interpretation of units in the cgs system, specifically regarding the square root of a gram centimeter.
- A later reply notes the age of the thread and cautions against reviving old discussions without sufficient reason.
Areas of Agreement / Disagreement
Participants present differing viewpoints on the dimensional analysis of electric charge and the implications of permittivity being dimensionless. The discussion does not reach a consensus, and multiple competing views remain.
Contextual Notes
There are unresolved assumptions regarding the treatment of permittivity and the definitions of units in different systems (SI vs. cgs). The discussion also highlights a potential lack of clarity in the experimental methods proposed.
Who May Find This Useful
Readers interested in dimensional analysis, the foundations of electromagnetism, or the historical context of physical theories may find this discussion relevant.
