24 research outputs found
Does dark matter consist of baryons of new stable family quarks?
We investigate the possibility that the dark matter consists of clusters of
the heavy family quarks and leptons with zero Yukawa couplings to the lower
families. Such a family is predicted by the {\it approach unifying spin and
charges} as the fifth family. We make a rough estimation of properties of
baryons of this new family members, of their behaviour during the evolution of
the universe and when scattering on the ordinary matter and study possible
limitations on the family properties due to the cosmological and direct
experimental evidences.Comment: 28 pages, revtex, submitted to Phys. Rev. Let
Dirac-K\"ahler approach connected to quantum mechanics in Grassmann space
We compare the way one of us got spinors out of fields, which are a priori
antisymmetric tensor fields, to the Dirac-K\"ahler rewriting. Since using our
Grassmann formulation is simple it may be useful in describing the
Dirac-K\"ahler formulation of spinors and in generalizing it to vector internal
degrees of freedom and to charges. The ``cheat'' concerning the Lorentz
transformations for spinors is the same in both cases and is put clearly
forward in the Grassmann formulation. Also the generalizations are clearly
pointed out. The discrete symmetries are discussed, in particular the
appearance of two kinds of the time-reversal operators as well as the
unavoidability of four families.Comment: 36 page
Quantum gates and quantum algorithms with Clifford algebra technique
We use our Clifford algebra technique, that is nilpotents and projectors
which are binomials of the Clifford algebra objects with the
property , for representing quantum
gates and quantum algorithms needed in quantum computers in an elegant way. We
identify -qubits with spinor representations of the group SO(1,3) for a
system of spinors. Representations are expressed in terms of products of
projectors and nilpotents. An algorithm for extracting a particular information
out of a general superposition of qubit states is presented. It
reproduces for a particular choice of the initial state the Grover's algorithm.Comment: 9 pages, revte
On the origin of families of quarks and leptons - predictions for four families
The approach unifying all the internal degrees of freedom--proposed by one of
us--is offering a new way of understanding families of quarks and leptons: A
part of the starting Lagrange density in d(=1+13), which includes two kinds of
spin connection fields--the gauge fields of two types of Clifford algebra
objects--transforms the right handed quarks and leptons into the left handed
ones manifesting in d=1+3 the Yukawa couplings of the Standard model. We study
the influence of the way of breaking symmetries on the Yukawa couplings and
estimate properties of the fourth family--the quark masses and the mixing
matrix, investigating the possibility that the fourth family of quarks and
leptons appears at low enough energies to be observable with the new generation
of accelerators.Comment: 31 pages,revte
"An effective two dimensionality" cases bring a new hope to the Kaluza-Klein[like] theories
One step towards realistic Kaluza-Klein[like] theories and a loop hole
through the Witten's "no-go theorem" is presented for cases which we call an
effective two dimensionality cases: In the equations of motion following
from the action with the linear curvature leave spin connections and zweibeins
undetermined. We present the case of a spinor in compactified on a
formally infinite disc with the zweibein which makes a disc curved on an almost
and with the spin connection field which allows on such a sphere only one
massless normalizable spinor state of a particular charge, which couples the
spinor chirally to the corresponding Kaluza-Klein gauge field. We assume no
external gauge fields. The masslessness of a spinor is achieved by the choice
of a spin connection field (which breaks parity), the zweibein and the
normalizability condition for spinor states, which guarantee a discrete
spectrum forming the complete basis. We discuss the meaning of the hole, which
manifests the noncompactness of the space.Comment: 26 pages, 1 figure, an addition which helps to clarify the
assumptions and their consequences (the discreteness of spectrum, the
massless solution of one handedness,..
Why odd-space and odd-time dimensions in even-dimesional spaces?
We are answering the question why 4-dimensional space has the metric 1+3 by
making a general argument from a certain type of equations of motion linear in
momentum for any spin (except spin zero) in any even dimension d. All known
free equations for non-zero spin for massless fields belong to this type of
equations. Requiring Hermiticity(This is a generalization of an earlier work
which shows that without assuming the Lorentz invariance -which in the present
work is assumed- the Weyl equation follows using Hermiticity.) of the equations
of motion operator as well as irreducibility with respect to the Lorentz group
representation, we prove that only metrics with the signature corresponding to
q time + (d - q) space dimensions with q being odd exist. Correspondingly, in
four dimensional space, Nature could only make the realization of 1+3
dimensional space.Comment: (only small corrections made