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Positronium is an ideal system for the research of the QED, especially forthe QED in bound state. The discrepancy of 3.9\sigma is found recently betweenthe measured HFS values and the QED prediction ($O(\alpha^3)$). It might be dueto the contribution of the unknown new physics or the systematic problems inthe previous all measurements. We propose new method to measure HFS preciselyand directly. A gyrotron, a novel sub-THz light source is used with ahigh-finesse Fabry-P\'erot cavity to obtain enough radiation power at 203 GHz.The present status of the optimization studies and current design of theexperiment are described.

Precise measurement of Hyper Fine Structure of positronium using sub-THz light