Including nuclear degrees of freedom in a lattice Hamiltonian, PL
Hagelstein, IU Chaudhary 2012.01.20: Rich Murray 2012.02.09
[ Rich Murray: the end of the beginning for cold fusion -- rapid
transition to normal science? ]
http://arxiv.org/pdf/1201.4377.pdfarXiv:1201.4377v1 [physics.gen-ph] 20 Jan 2012
24 pages 43 references
Including nuclear degrees of freedom in a lattice
Hamiltonian
P L Hagelstein 1, I U Chaudhary 2
1 Research Laboratory of Electronics, Massachusetts Institute of Technology,
Cambridge, MA 02139,USA
E-mail:
[hidden email]
2 Department of Computer Science and Engineering, University of Engineering and
Technology, Lahore, Pakistan
E-mail:
[hidden email]
Abstract.
Motivated by many observations of anomalies in condensed matter
systems, we consider a new fundamental Hamiltonian in which condensed
matter and nuclear systems are described initially on the same
footing.
Since it may be possible that the lattice will respond to the mass
change associated with a excited nuclear state, we adopt a
relativistic description throughout based on a many-particle Dirac
formalism.
This approach has not been used in the past, perhaps due to the
difficulty in separating the center of mass and relative degrees of
freedom of the nuclear system, or perhaps due to an absence of
applications for such a model.
We recently found a way to separate the center of mass and relative
contributions to the Hamiltonian for the many-particle Dirac model,
which leads to somewhat different expressions for the kinematic mass,
Newton mass, and deBroglie mass of the many-particle Dirac composite.
It is not clear at this time whether such a difference is reflected in
experiment.
This separation allows us to reduce the condensed matter and nuclear
Hamiltonian into a more manageable form.
In the resulting model, there appears a new term in which nuclear
transitions are coupled to lattice vibrations.
Rich Murray
Feb 7 (2 days ago)
to vortex-l, bcc: michael
A scientific layman's quick assessment:
a gifted theoretical physicist and colleague have been working
steadily for years with experimenters --
they carefully studied and rejected many theoretical dead ends for
various anomalous phenomena --
finally they started to apply standard theoretical routes, while
starting fresh with a comprehensive overview that held the nuclear
level and the electronic level together on an equal basis --
finding new subtleties that indicate transactions between nuclear and
electronic levels that so far seem may turn out to fit the puzzling
experimental data --
publishing results quickly in many papers, thus inviting public
critical examination by their peers --
thus, all the hallmarks of mature scientific breakthrough...
February 9 note: Somehow, this reminds me of the paradigm of duality
in superstring theory -- that the physics on the surface of a volume
takes forms that are complimentary to the mathematical forms that
appear in the higher dimensional space of the volume, thus allowing
different mathematical tools to be applied to a single problem,
approached as a surface or as a volume -- so there may be a similar
"geometric" duality for the physics at the electronic lattice level vs
the nuclear strong force level -- in the case of black holes, the
surface vs volume duality was found via thermodynamic considerations
about their temperature and entropy.
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