arivero
Aug6-04, 05:53 AM
Three little known equalities:
From Smirnov:
\theta_{\mbox{sun}} + \theta_{\mbox{cabibbo}} = {\pi \over 4}
From De Vries:
\ln {m_\tau \over m_\mu} = \pi - {1 \over \pi}
From Smirnov again:
\sqrt {m_\mu \over m_\tau} \sim \sin \theta_{\mbox{Cab.} }
Can anyone predict them?
de Vries has a secondary formula for the electron-muon relationship, namely
ln(mu/me) / (2pi-3/pi) = 1.000627.
In principle one could recast them in terms of hyperbolic cosines and sines, for instance 1pi-1/pi= 2 sinh(ln(pi)) but it does not clarify the situation.
See also:
http://physicsforums.com/showthread.php?t=36624
http://arxiv.org/abs/hep-ph/0405088
http://www.chip-architect.com/news/2004_07_27_The_Electron.html
From Smirnov:
\theta_{\mbox{sun}} + \theta_{\mbox{cabibbo}} = {\pi \over 4}
From De Vries:
\ln {m_\tau \over m_\mu} = \pi - {1 \over \pi}
From Smirnov again:
\sqrt {m_\mu \over m_\tau} \sim \sin \theta_{\mbox{Cab.} }
Can anyone predict them?
de Vries has a secondary formula for the electron-muon relationship, namely
ln(mu/me) / (2pi-3/pi) = 1.000627.
In principle one could recast them in terms of hyperbolic cosines and sines, for instance 1pi-1/pi= 2 sinh(ln(pi)) but it does not clarify the situation.
See also:
http://physicsforums.com/showthread.php?t=36624
http://arxiv.org/abs/hep-ph/0405088
http://www.chip-architect.com/news/2004_07_27_The_Electron.html