Einstein's Harmony 
 
Einstein noted the following lack of harmony in physical theories.
  |  
     | Lack of Harmony | Galilei Covariance
 | Lorentz Covariance
 |  | 
  |  
     | Newtonian Mechanics
 | YES | NO |  | 
  |  
     | Maxwell's Electromagnetism
 | NO | YES |  | 
He fixed this lack of harmony in 1905, and found an energy-momentum relation
applicable to both slow and fast particles. He showed the energy and momentum
variables constitute a four-vector.
It is interesting to note the further contents of his energy-momentum relation.
 
  |  
          Einstein's World 
     | 
 | Massive/Slow | between | Massless/Fast |  | 
  |  
     | Energy Momentum
 | E=p2/2m | Einstein's E=(m2 + p2)1/2
 | E=p |  | 
  |  | 
  |  | 
     
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copyright@2009 by Y. S. Kim, unless otherwise specified.