Contemporary theories of antimatter have a number of insufficiencies w
hich stimulated the recent construction of the new isodual theory base
d on a certain anti-isomorphic map of all (classical and quantum) form
ulations of matter called isoduality. In this note we show that the is
odual theory predicts that antimatter emits a new light, called isodua
l light, which can be distinguished from the ordinary light emitted by
matter via gravitational interactions (only). In particular, the isod
ual theory predicts that all stable antiparticles such as the isodual
photon, the positron and the antiproton experience antigravity in the
field of matter (defined as the reversal of the sign of the curvature
tensor), The antihydrogen atom is therefore predicted to: experience a
ntigravity in the field of Earth; emit the isodual photon; and have th
e same spectroscopy of the hydrogen atom, although subjected to an ant
i-isomorphic isodual map. In this note we also show that the isodual t
heory predicts that bound states of elementary particles and antiparti
cles (such as the positronium) experience ordinary gravitation in both
fields of matter and antimatter, thus bypassing known objections agai
nst antigravity. A number of intriguing and fundamental, open theoreti
cal and experimental problems of ''the new physics of antimatter'' are
pointed out.