Recent advances in techniques to manipulate and study, with high precision,
atomic hydrogen, from one hand, and successful trapping schemes for positr
ons and antiprotons, from the other hand, have encouraged the pursuit of ex
periments to test CPT violation and the Weak Equivalence Principle (WEP) th
rough the comparison of hydrogen and antihydrogen. A description of the hyd
rogen trap and laser system being built in Rio, to trap and perform high re
solution spectroscopy on cold hydrogen, is presented along with a discussio
n on the techniques and experimental system being implemented by the ATHENA
collaboration at CERN to produce cold antihydrogen. A new technique to mak
e a cold antihydrogen beam is proposed.