Feynman's Current Agenda
Yuval Ne'eman once said Richard Feynman was
the Elvis Presley of Science, and more than 20% of Americans believe
Elvis Presley is still alive. If so, it is very safe to assume that Richard
Feynman is still alive. Then what are Feynman's current agenda?
Feynman made many provocative statements in physics. The question is
whether we can construct mathematical models to examine physical contents
of those statements. Let us provide a twodimensional organization for
his agenda.


Parton Picture 

Harmonic Oscillators 

Rest of the Universe 
Feynman said 

If a hadron moves with a velocity close to that of light,
Feynman observed that it is collection of an infinite number of partons
which behave like independent massless particles with a widespread
momentum distribution. Feynman's partons have properties quite different
from those of the quarks.


In
1970, Feynman stated that
(1) hadronic spectra on Regge trajectories are manifestations
the degeneracies of threedimensional harmonic oscillators, (2) and we should
try oscillator wave functions, instead of Feynman diagrams, for bound states
in the relativistic world.


When we solve a quantummechanical problem, what we really do is
divide the universe into two parts  the system in which we are interested
and the rest of the universe. We then usually act as if the system in
which we are interested comprised the entire universe.
Click here.

Fundamental Questions 

Is the parton model a Lorentzboosted quark model?
Click here.
for the answer.


Can Feynman's oscillator model be made Lorentzcovariant?


What physics can we do with this concept?
Entaglement and Decoherence!

Mathematical Instruments 

Dirac's lightcone coordinate system 

Wigner's O(3)like little group for massive particles 

Dirac's coupled oscillators 
One Mathematics 

Indeed, these three distinct approaches can be combined into one
mathematical formalism.
Click here for a written document. The idea is to exploit the fact
that the mathematics of Lorentz boost is the same as that of two coupled
harmonic oscillators.


One Physics 

According to R. P. Feynman,
the adventure of our science of physics is a perpetual attempt to
recognize that the different aspects of nature are really different
aspects of the same thing. This means that Feynman was attempting to
combine all of his papers into one paper. It is thus fun to combine
some, if not all, into one paper. This job becomes easy if they share
the
same mathematical formalism.


