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We discuss a direct test of the relation of time and energy in the verylong-lived decay of tritium (H3) (meanlife \tau ~ 18 yrs) with the width \Gamma~ 10^{-24} eV [set by the time-energy uncertainty (TEU)], using the newfoundpossibility of resonance reactions H3 \leftrightarrow He3 with \Delta E/E ~5x10^{-29}. The TEU is a keystone of quantum mechanics, but probed for thefirst time in this extreme time-energy regime. Forestalling an apparentdeviation from the TEU, we discuss the ramifications and a possiblegeneralization of the TEU as \Delta E \Delta t > (\hbar/2)[1+(\Delta t/T)^n]where \Delta t = \tau is the time of measurement (the lifetime of the state),T=L/c the time for light to cross the Universe ~ 3x10^{18} s, and n a parametersubject to future measurements. (by R. S. Raghavan.)

Using Neutrinos to test the Time-Energy Uncertainty Relation in an Extreme Regime