Time T , velocity C and angular momentum h are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be:

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M ∝ T x C y h z M 1 L 0 T 0 = T 1 x L 1 T - 1 y M 1 L 2 T - 1 z [ M 1 L 0 T 0 ] =[ M z L y + 2 z T x - y - z ] ] ⟹ z = 1 y + 2 z = 0 , x - y - z = 0 solving y = - 2 and x = - 1 M ⇒ T - 1 C - 2 h 1

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