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I have an expression where I have converted all units such that the answer is expressed in 4d Planck mass, $m_p^{(4d)}$.

In David Tong's lecture notes, Newtons gravitational constant in 4d is given by $ G \sim \frac{1}{m_p^{(4d)}}$.

How would I express this (or anything in terms of 4d Planck mass) in $m_p^{(3d)}$?

Nihar Karve
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Johan Hansen
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