Welcome !!
Welcome !!"The mind is not a vessel to be filled but a fire to be kindled." Plutarch.
And I thoroughly enjoy struggling with Nature's challenges to us
humans who are trying to understand the most fundamental aspects of
the natural world. The 4-D sphere in the image above plays a key role
in my research into the nature of leptons and quarks, the fundamental
particles of Nature. Below, I tell you about some of the physics
research I am doing.
Leptons and Quarks
I spent much of the last fifteen years working on one project which I created for myself: to understand what underlying mechanisms are responsible for the leptons and the quarks that comprise all things around us.
I think that I have successfully answered the challenge by connecting the quarks to the symmetries of the regular polytopes in a real 4-D space and the leptons to the symmetries of the regular polyhedrons in the 3-D subspace. This approach uses the Standard Model and enlists the finite rotational subgroups of its Lie group.
*** In 2007 the acid test of the ideas will be achievable because the LHC collider at CERN will be able to produce many times the number of collisions per second than before at Fermilab, and I would expect dozens of FCNC b' quark decays into b + gamma and b + gluon to make their appearance. In 2002 there are some indications of something being produced around 100 - 120 GeV, which may be the b' quark, or it may be the Higgs particle. No definitive statements can be made yet.
Some important predictions of this modification of the Standard Model(SM) are:
Leptons and quarks are related through the finite rotational symmetry groups in the 3-D and 4-D real spaces that are part of the 2-D complex space called the unitary plane. The unitary plane is the only space mentioned explicitly in the SM, and the reduction of its Lie Group SU(3)C x SU(2)L x(1)Y to the finite rotational groups is contrary to expectations.
4 quark families and 3 lepton families are predicted, with the first two quark families together canceling the anomaly of the first lepton family. This mismatch in family numbers creates havoc with regard to many mathematical operations until proper factors are inserted in the CKM matrix to restore unitarity.
A b' quark at 80 GeV and a t' quark at 2600 GeV should exist, both members of the 4th quark family. This b' quark at 80 GeV is the acid test for my modification, and I expect it to show up at FermiLab soon.
All neutrino masses are exactly zero forever under any conditions, and neutrinos and antineutrinos are distinct particle states. Most physicists are probably betting the opposite, that at least one neutrino has a mass > 0 eV in order to solve the solar neutrino problem and to identify more "dark matter".
No Higgs boson is required. The actual symmetry groups are finite rotational groups, so one does not need to introduce the artificial Higgs mechanism because the symmetry breaks to these discrete groups.
Quark states are defined in a 4-D real space while lepton states are defined in the 3-D subspace. This spatial demarcation distinguishes leptons from quarks and may be the origin of baryon number.
All mass ratios arise from the numerical invariants of the symmetry groups of the polytopes and polyhedrons. The invariants are related to the absolute invariant J of elliptic functions, so any Hamiltonian must incorporate the symmetries of the appropriate elliptic functions for each finite rotational group.
Left-handedness and parity violation are dictated by the mathematical properties of the general rotation in the unitary plane whenever a W or Z boson acts. There is no choice here, and all left-right symmetric models are eliminated as well as any model without two states per family.
The three color charges represent the three pairs of rotation planes for a 4-D rotation. If true, lepton states must exist in the 3-D subspace as proposed. One can also define all meson and baryon states in this 3-D subspace.
No more leptons or quarks will appear beyond the four quark families and three lepton families predicted here. No more finite rotational groups are available in the 3-D and 4-D subspaces of the unitary plane. In fact, leptons, quarks and the interaction bosons may be the only fundamental particles!
For more information, please
read my paper .
"Geometrical Basis for the Standard Model"
.
International Journal of Theoretical Physics, Vol. 33 (1994),
pp. 279-305,
which is now available at Geometrical
Basis for the Standard Model.
Connection to Superstrings in a discrete spacetime:
A recent (2005) follow-up paper Leptons and Quarks in a Discrete Spacetime as well as a published article (2006) Unification of Interactions in Discrete Spacetime are now available (in PDF format) that show how to combine the finite subgroups of the Standard Model from the original paper above with finite subgroups of the Lorentz group SO(3,1) to form Weyl E8 x Weyl E8, a finite subgroup of SO(9,1) in discrete 10-D spacetime, unifying all the fundamental interactions. Its relationship to a discrete PSL(2,O) and to the continuous group E8 x E8 of superstrings and M-theory is discussed. Consequently, spacetime is discrete, and there can be only one universe and one set of physical constants because the result is unique. The discovery of the b' quark decaying to a b quark and an energetic photon at the LHC is the definitive experiment.
A short 2-minute Quicktime summary (2007) of several of the key concepts is available to whet your appetite at Let's Fix String Theory!. The video provides the "big picture" of how the unification of the fundamental interactions in discrete spacetime occurs in a unique way, leaving "no choice in the creation of the world".
Quantum Celestial Mechanics(QCM)
With general relativity physicist Howard Preston, in 2003 we have posted a paper at the archive which has a new approach to understanding the states of gravitationally bound systems such as solar systems, galaxies, and the Universe. By knowing only the total mass and the total angular momentum of the system, all its quantization states are known. QCM has a wave equation which, in the Schwarzschild metric, predicts quantization states that agree extremely well with the actual states of the Solar System, the Galaxy (without requiring dark matter!), and clusters of galaxies. With the interior metric, QCM predicts that the redshifts of supernovae SNe1a are actually gravitational redshifts and are not due to space expansion. In other words, we have discovered a repulsive gravitational effect that helps keep planets in quantized orbits, the stars revolving around the galactic center in quantization states, and the Universe in a static equilibrium. These papers are
Gravitational Lensing by Galaxy Quantization States (2004)
Quantization State of Baryonic Mass in Clusters of Galaxies (2007)
Cosmological Redshift Interpreted as Gravitational Redshift (2007)
Other physics research:
I am continuing to think about the origin of time and the reason for the obvious particle-antiparticle asymmetry in the universe. My present conjecture is that time is important for leptons and hadrons, which are 3-D entities in my geometric approach above, and that quarks do not experience time because they are 4-D entities – the 4th dimension being needed for time.
Professor Joseph Weber (deceased) had some great ideas about neutrino detection techniques that continue to fascinate me. If neutrino total cross-sections can be increased by his factor of about 10^24, wow!
Weber bars used for gravitational wave detectors certainly have an interesting history. With two independent nearly identical Weber bars placed far apart Weber claims that they responded in almost identical fashion to the Supernova 1987A event. If his ideas about their quantum mechanical responses are correct, then these bars detected gravitational waves. Perhaps we'll know more in the near future.
I also find that the 1994 x-ray laser claims by K. DasGupta for a Ni K-alpha laser at 1.658 Angstroms should be checked out thoroughly. Something amazing is happening!
If you would like to discuss any of these ideas with me and your age is between 8 and 80, my e-mail address is given below.