Tuesday, October 23, 2012

1210.5639 (Ramaswamy S. Raghavan et al.)

Using Neutrinos to test the Time-Energy Uncertainty Relation in an
Extreme Regime
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Ramaswamy S. Raghavan, Djordje Minic, Tatsu Takeuchi, Chia Hsiung Tze
We discuss a direct test of the relation of time and energy in the very long-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 newfound possibility of resonance reactions H3 \leftrightarrow He3 with \Delta E/E ~ 5x10^{-29}. The TEU is a keystone of quantum mechanics, but probed for the first time in this extreme time-energy regime. Forestalling an apparent deviation from the TEU, we discuss the ramifications and a possible generalization 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 parameter subject to future measurements. (by R. S. Raghavan.)
View original: http://arxiv.org/abs/1210.5639

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