From: nedlatham@woden.valhalla.oz   
      
   [[Mod. note --  I apologise for the delay in processing this article,   
   which the author posted on Sunday 2020-03-29.   
   -- jt]]   
      
   Michael Moroney wrote:   
   > Ned Latham  writes:   
   > > Tom Roberts wrote:   
   > > >   
   > > > but much smaller mass differences between the different neutrino   
   > > > mass eigenstates;   
   > >   
   > > Three masses gives two differences; is there anything like an integral   
   > > common denominator?   
   >   
   > Differences between the SQUARES of the masses.   
      
   There have to be differences of the square roots of the squares too.   
      
   > And there are three pairs of squares of mass differences.   
      
   You're right. I have no idea how I did that.   
      
   > Three equations and three unknowns, in theory this should be solvable   
   > or at least reduced to a degenerate.   
   >   
   > Is it possible for exactly one of the eigenstates, or exactly one   
   > neutrino mass to be exactly 0, or do all 3 need nonzero mass?   
      
   You know my opinion on that. They must all be non-zero.   
      
   There is still the question of whether there is an integral common   
   denominator.   
      
   [[Mod. note -- The neutrino-oscillation observations give information   
   (only) on the differences between the squares of the masses.   
      
   We have no reason to expect the masses to be in integer ratios.   
   -- jt]]   
      
   --- SoupGate-Win32 v1.05   
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