Dirac
equation: Correct
results but undecipherable
strange.
It was only
3 years, in 1928
that Paul Dirac
published his famous
paper, "The
Quantum theory of
the electron" His
equation solved all
the shortcomings of
Schroedinger's
equation. He introduced a
mathematical model of the
electron that essentially
survived until the present
days.
The same model is key, not
only in the description of
electrons, but also in
other particles that were
discovered many years
later. Most notably the
quarks and neutrino's.
In the 1950's Dirac's
model became the
foundation of Quantum
Electro Dynamics. The
theory capable of
predicting a number of
physical properties with
exceptional precession
which are in agreement
with experiments with a
precision with up to 12
digits.
In the 1970's and 1980's
this theory was extended
to the so called
"Standard Model" of
physics which included the
strong and weak nuclear
forces.
A real
valued and spatially
symmetric equation
Unfortunately,
in spite of all the
success, very few
people study the
Dirac equation. The
combination of its
complexity and
strangeness provides
a barrier for a
majority of the
students. Most of
those that do study
the equation and
master the required
mathematical
manipulations are
left with an uneasy
feeling about the
physical meaning of
what they are doing.
One of the strangest
aspects is that the
mathematics doesn't
treat the x,y and
zaxis on equal
footing, the
representation is
not spatially
symmetric. While the
use of a complex
valued field in Schroedinger's
equation is bearable. In
Dirac's field we deal with
8 values for each point in
space either real or
imaginary which are very
hard to interpret or
visualize in a geometric
context.
What we present in the
paper is a 1to1
replacement of Dirac's
mathematical model which
has the same number of
parameters (8), produces
the same end results.
However: all parameters
are real valued and the
representation is
spatially symmetric as one
would expect it to be.
This model now opens the
way for a physical
understanding
of the electron
and its spin.
