Monday, October 10, 2011

Back to Koide III

Let us now consider the $1.1 \times 10^{-8}$ eV scale without assuming it to be the lightest mass, which we know is $m_{1} = 0.00038$ eV. At $61$ ns, using $t = \hbar / E$ for $\hbar = 6.6 \times 10^{-16}$ eVs, we obtain a distance probe of $E = 1.1 \times 10^{-8}$ eV. Pretty basic. Similarly, the true $m_1$ characterises a zitterbewegung clock, so a natural dimensionless quantity characterising the experiment (ie. a speed) is

$w = \frac{E}{m_1} = 3 \times 10^{-5}$

where possible factors of $2$ are as usual ignored. Observe that $w$ depends on the $61$ ns time interval, suggesting heuristically that this quantity varies with distance in such a way that for very long distances $w$ is very, very small. This links $m_1$ to the time and distance parameters for the OPERA neutrinos, in a way that is potentially consistent with the tachyon condensate picture, where the greatest speeds are dually associated to the ultra IR.

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