I Restoring S.I. units to a Lagrangian in natural units

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Restoring S.I. units to a Lagrangian in natural units involves understanding which quantities were excluded for simplification. The discussion clarifies that fundamental quantities are not omitted but rather quantities that relate different dimensions are. To restore S.I. units, one can either reintroduce the excluded quantities or apply specific scaling factors that align with the dimensions of the Lagrangian density. The choice between these methods depends on the context of the field being analyzed. Ultimately, the approach taken should ensure dimensional consistency in the Lagrangian formulation.
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TL;DR
Restoring the Lagrangian units
If we have a natural unit Lagrangian, where some fundamental quantities have been excluded to ease calculations...and aim to restore it's S.I units back, do we just have to plug back the fundamental quantities that were initially excluded Into the Lagrangian...or we use some specific scaling factors corresponding to that field that has the same S.I units of Lagrangian density, and scale the unitless Lagrangian with it.
 
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"fundamental quantities" are not excluded in using natural units.
Only quantities relating two different dimensions are excluded.
 
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