  We propose a generalized formulation of the Scalar Weak Gravity Conjecture
(SWGC) based on the analogy with the derivation of the Gauge Weak Gravity
Conjecture (GWGC). We discuss some phenomenological implications of this
Generalized SWGC, including the scale of New Physics (NP) when applied to the
SM Higgs sector, and the bounds on the axion's couplings to fermions and the
photon when applied to the axion. The Generalized SWGC constraints rule out
most of the parameter space of axion-nucleon couplings, leaving only a tiny
parameter space.
