2009 APS April Meeting
Volume 54, Number 4
Saturday–Tuesday, May 2–5, 2009;
Denver, Colorado
Session T14: New Directions in Particle Theory
3:30 PM–5:18 PM,
Monday, May 4, 2009
Room: Plaza Court 4
Sponsoring
Unit:
DPF
Chair: Andreas Kronfeld, Fermilab
Abstract ID: BAPS.2009.APR.T14.8
Abstract: T14.00008 : New Generally Covariant Generalization of the Dirac Equation Not Requiring Gauges
4:54 PM–5:06 PM
Preview Abstract
Abstract
Author:
David Maker
(mda)
We introduce a new pde ($\Sigma _{\mu }\surd \kappa _{\mu
\mu}$\textit{$\gamma $}$_{\mu }$\textit{$\partial \psi
$/$\partial $x}$_{\mu }$\textit{-$\omega \psi $=0}) with
spherically symmetric diagonalized $\kappa
_{00}$ = 1-r$_{H}$ =1/$\kappa _{rr}$ giving it general
covariance. If
r$_{H}$ =2e$^{2}$/m$_{e}$c$^{2}$ this new pde reduces to the
standard Dirac
equation as r$\to \infty $. Next we solve this equation directly
using
separation of variables (e.g., 2P, 2S, 1S terms). Note metric
time component
$\kappa _{oo}$=0 at r=r$_{H}$ and so clocks slow down with
\textit{baryon stability} the result.
Note also that near r$_{H}$ the 2P$_{3/2}$ state for this new
Dirac equation
gives a azimuthal trifolium, 3 lobe shape; so this \textbf{ONE}
charge$ e$ (so
don't need \textit{color} to guarantee this) spends $1/3$ of its
time in each lobe
(\textit{fractionally charged} lobes), the lobe structure is
locked into the center of mass
\textbf{(}\textit{asymptotic freedom}), there are \textit{six }2P
states (corresponding to the 6
flavors); the P wave scattering gives the \textit{jets}\textbf{,}
all these
properties together constituting the~\textit{main properties of
quarks!}~without invoking the many free
parameters, gauge conditions of QCD. Also the 2S$_{1/2}$ is
the\textbf{
}\textit{tauon} and the 1S$_{\raise.5ex\hbox{$\scriptstyle
1$}\kern-.1em/
\kern-.15em\lower.25ex\hbox{$\scriptstyle 2$}}$ is the
\textit{muon} here. The S
matrix of this new pde gives the \textit{W and Z as resonances
and does not require renormalization counterterms or free
parameters. }Thus we get nuclear, weak and E{\&}M
phenomenology as \textit{one} step solutions of this new pde, not
requiring the standard
method's pathology of adhoc assumptions such as gauges and
counterterms, 19
free parameters (you can vary any way you want) that have
confused, blocked
the progress of theoretical physics for the past 30 years.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2009.APR.T14.8