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Following recent theoretical results, it is suggested that positronium (Ps)might undergo spontaneous oscillations between two 4D spacetime sheets wheneversubjected to constant irrotational magnetic vector potentials. We show thatthese oscillations that would come together with o-Ps/p-Ps oscillations shouldhave important consequences on Ps decay rates. Experimental setup andconditions are also suggested for demonstrating in non accelerator experimentsthis new invisible decay mode.Comment: 9 pages, 2 figures. Minor form correction. Accepted for publication  in Int. J. of Modern Physics

ARTIFICIALLY INDUCED POSITRONIUM OSCILLATIONS IN A TWO-SHEETED SPACE–TIME: CONSEQUENCES ON THE OBSERVED DECAY PROCESSES