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The exponent of charge variables in physical law must be unity in order for them to apply to distributed charges |
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Let Z be a physical charge such as gravitational mass or electric charge for some physical body, that determines some variable E in the form
where α and β are parameters.
Suppose now that the body is divided up into m equal proportions. The amount per portion is then α(Z/m)^{β} and the total is
and therefore
Thus only the case of β equal to 1 is meaningful physically.
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