Can the matter-antimatter asymmetry be easier to understand within the spin-charge-family-theory, predicting twice four families and two times $SU(2)$ vector gauge and scalar fields?

This contribution is an attempt to try to understand the matter-antimatter asymmetry in the universe within the {it spin-charge-family-theory} if assuming that transitions in non equilibrium processes among instanton vacua and complex phases in mixing matrices are the sources of the matter-antimatter asymmetry, as studied in the literature for several proposed theories. The {it spin-charge-family-theory} is, namely, very promising in showing the right way beyond the {it standard model}. It predicts families and their mass matrices, explaining the origin of the charges and of the gauge fields. It predicts that there are, after the universe passes through two $SU(2)times U(1)$ phase transitions, in which the symmetry breaks from $SO(1,3) times SU(2) times SU(2) times U(1) times SU(3)$ first to $SO(1,3) times SU(2) times U(1) times SU(3)$ and then to $SO(1,3) times U(1) times SU(3)$, twice decoupled four families. The upper four families gain masses in the first phase transition, while the second four families gain masses at the electroweak break. To these two breaks of symmetries the scalar non Abelian fields, the (superposition of the) gauge fields of the operators generating families, contribute. The lightest of the upper four families is stable (in comparison with the life of the universe) and is therefore a candidate for constituting the dark matter. The heaviest of the lower four families should be seen at the LHC or at somewhat higher energies.

The approach unifying spin and charges predicts the fourth family and a stable family forming the dark matter clusters

The Approach unifying spin and charges, assuming that all the internal degrees of freedom---the spin, all the charges and the families---originate in $d > (1+3)$ in only two kinds of spins (the Dirac one and the only one existing beside the Dirac one and anticommuting with the Dirac one), is offering a new way in understanding the appearance of the families and the charges (in the case of charges the similarity with the Kaluza-Klein-like theories must be emphasized). A simple starting action in $d >(1+3)$ for gauge fields (the vielbeins and the two kinds of the spin connections) and a spinor (which carries only two kinds of spins and interacts with the corresponding gauge fields) manifests after particular breaks of the starting symmetry the massless four (rather than three) families with the properties as assumed by the Standard model for the three known families, and the additional four massive families. The lowest of these additional four families is stable. A part of the starting action contributes, together with the vielbeins, in the break of the electroweak symmetry manifesting in $d=(1+3)$ the Yukawa couplings (determining the mixing matrices and the masses of the lower four families of fermions and influencing the properties of the higher four families) and the scalar field, which determines the masses of the gauge fields. The fourth family might be seen at the LHC, while the stable fifth family might be what is observed as the dark matter.

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.

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 approach unifying spins and charges as the fifth family. We make a rough estimation of properties of baryons of this new family members and study possible limitations on the family properties due to the direct experimental and the cosmological evidences, studying the cosmological evolution of the fifth family clusters.

Proceedings to the 11th Workshop What Comes Beyond the Standard Models, Bled, July 15 - 25, 2008, Slovenia

Contents: 1. Does the Dark Matter Consist of Baryons of New Heavy Stable Family Predicted by the Approach Unifying Spins and Charges? (G. Bregar and N.S. Mankoc Borstnik) 2. Lorentz Transformations for a Photon (V.V. Dvoeglazov) 3. Is the Space-Time Non-commutativity Simply Non-commutativity of Derivatives? (V.V. Dvoeglazov) 4. Composite Dark Matter: Solving the Puzzles of Underground Experiments? (M.Yu. Khlopov, A.G. Mayorov and E.Yu. Soldatov) 5. Spin Connection Makes Massless Spinor Chirally Coupled to Kaluza-Klein Gauge Field After Compactification of $M^{1+5}$ to $M^{1+3}$ x Infinite Disc Curved on $S^2$ (D. Lukman, N.S. Mankoc Borstnik and H.B. Nielsen) 6. Some Obvious Matters of Physics That Are Not Obvious (R. Mirman) 7. Discussions on the Puzzles of the Dark Matter Search (Video Conference Participants) 8. Scattering With Very Heavy Fermions (A. Kleppe) 9. Scientific-Educational Complex -- Virtual Institute of Astroparticle Physics (M.Yu. Khlopov)

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 $gamma^a$ with the property ${gamma^a,gamma^b}_+ = 2 eta^{ab}$, for representing quantum gates and quantum algorithms needed in quantum computers in an elegant way. We identify $n$-qubits with spinor representations of the group SO(1,3) for a system of $n$ 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 $2^n$ qubit states is presented. It reproduces for a particular choice of the initial state the Grovers algorithm.

Proceedings to the 10th Workshop What Comes Beyond the Standard Models, Bled, July 17. - 27., 2007, Slovenia

Contents: 1. Finestructure Constants at the Planck Scale from Multiple Point Principle (D.L.Bennett, L.V. Laperashvili and H.B. Nielsen) 2. Random Dynamics in Starting Levels (D. Bennett, A. Kleppe in H.B. Nielsen), 3. Families of Quarks and Leptons and Their Mass Matrices from the Approach Unifying Spins and Charges: Prediction for the Fourth Family (G. Bregar, M. Breskvar, D. Lukman and N.S. Mankoc Borstnik) 4. Fermion-Fermion and Boson-Boson Amplitudes: Surprising Similarities (V.V. Dvoeglazov) 5. Antisymmetric Tensor Fields, 4-Vector Fields, Indefinite Metrics and Normalization (V.V. Dvoeglazov) 6. Quantum Gates and Quantum Algorithms with Clifford Algebra Technique (M. Gregoric and N.S. Mankoc Borstnik) 7. From the Starting Lagrange Density to the Effective Fields for Spinors in the Approach Unifying Spins and Charges (N.S. Mankoc Borstnik) 8. New Generations of Particles in the Universe (M.Yu. Khlopov) 9. A Subversive View of Modern Physics (R. Mirman) 10. Mass Spectra are Inherent in Geometry: an Analysis Using the Only Conformal Group Allowing a Universe (R. Mirman) 11. Complex Action, Prearrangement for Future and Higgs Broadening (H.B. Nielsen and M. Ninomiya) 12. Discussion on Dark Matter Candidates from the Approach Unifying Spins and Charges (G. Bregar and N.S. Mankoc Borstnik) 13. Discussion Section Summary on Dark Matter Particle Properties (M.Yu. Khlopov and N.S. Mankoc Borstnik)

Particular boundary condition ensures that a fermion in d=1+5, compactified on a finite disk, manifests in d=1+3 as massless spinor with a charge 1/2, mass protected and chirally coupled to the gauge field

The genuine Kaluza-Klein-like theories--with no fields in addition to gravity--have difficulties with the existence of massless spinors after the compactification of some space dimensions cite{witten}. We proposed in previous paper a boundary condition for spinors in d=(1+5) compactified on a flat disk that ensures masslessness of spinors (with all positive half integer charges) in d=(1+3) as well as their chiral coupling to the corresponding background gauge gravitational field. In this paper we study the same toy model, proposing a boundary condition allowing a massless spinor of one handedness and only one charge (1/2) and infinitely many massive spinors of the same charge, allowing disc to be curved. We define the operator of momentum to be Hermitean on the vector space of spinor states--the solutions on a disc with the boundary.

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.