How does natural unit make sense?
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Both the fundamental constants $hbar$ and $c$ have dimensions. In particular, $[hbar]=ML^2T^{-1}$ and $[c]=LT^{-1}$ . But in natural units, we make them dimensionless constants of equal magnitude. How is this possible? This means length is measured in the same units as time which is measured in the units of inverse mass! Am I measuring the distance between two points in seconds??? Can we do that? I cannot make myself comfortable with it :-( Also why is it not possible to make $hbar=c=G=1$ simultaneously?
particle-physics units dimensional-analysis si-units
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edited 3 hours ago
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