arXiv subjects

N. S. Mankoc Borstnik

Publications and source records attributed to N. S. Mankoc Borstnik.

42 records · Page 3Linked to original sources

arXiv2006

A new understanding of fermion masses from the unified theory of spins and charges

In this letter we try to answer those of the open questions of the Standard model which concern the appearance of families, mass protection mechanism and the Yukawa couplings - by using the approach (proposed by one of us), which suggests a new way beyond the Standard model. The approach has in the starting action for fermions, which carry in d(=1 +13)-dimensional space only the spin (two kinds of the spin) and interact with only spin connection and vielbein fields, the term manifesting as a mass term in d=1+3. (After making several approximations and assumptions) we connect free parameters of the approach with the experimental data and investigate a possibility that the fourth family appears at low enough energies to be observable in the new generation of accelerators.

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arXiv2006

Title On the origin of families of fermions and their mass matrices - Approximate analyses of properties of four families within approach unifying spins and charges

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. Spinors, namely, living in d(=1+13)-dimensional space, manifest in the observed d(=1+3) space all the known charges of quarks and leptons, while a part of the starting Lagrange density in d(=1+13) transforms the right handed quarks and leptons into the left handed ones, manifesting a mass term in $d=1+3$. Since a spinor carries two kinds of spins and interacts accordingly with two kinds of the spin connection fields, the approach predicts families and the corresponding Yukawa couplings. In the previous paper the appearance of families of quarks and leptons within this approach was investigated and the explicit expressions for the corresponding Yukawa couplings, following from the approach after some approximations and simplifications, presented. In this paper we continue investigations of this new way of presenting families of quarks and leptons by further analyzing properties of mass matrices, treating quarks and leptons in an equivalent way. We connect free parameters of the approach with the known experimental data and investigate a possibility that the fourth family of quarks and leptons appears at low enough energies to be observable with the new generation of accelerators.

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arXiv2005

Proceedings to the 8th Workshop 'What Comes Beyond the Standard Models', Bled, July 19. - 29., 2005, Slovenia

Contents: 1. Can MPP Together with Weinberg-Salam Higgs Provide Cosmological Inflation? (D.L. Bennett and H.B. Nielsen) 2. Conserved Charges in 3d Gravity With Torsion (M. Blagojevic and B. Cvetkovic) 3. Mass Matrices of Quarks and Leptons in the Approach Unifying Spins and Charges (A. Borstnik Bracic and N.S. Mankoc Borstnik) 4. Dark Matter From Encapsulated Atoms (C.D. Froggatt and H.B. Nielsen) 5. Dirac Sea for Bosons Also and SUSY for Single Particles (Y. Habara, H.B. Nielsen and M. Ninomiya) 6. Searching for Boundary Conditions in Kaluza-Klein-like Theories (D. Lukman, N.S. Mankoc Borstnik and H. B. Nielsen) 7. Second Quantization of Spinors and Clifford Algebra Objects (N.S. Mankoc Borstnik and H. B. Nielsen) 8. Are there Interesting Problems That Could Increase Understanding of Physics and Mathematics? (R. Mirman) 9. Noncommutative Nonsingular Black Holes (P. Nicolini) 10. Compactified Time and Likely Entropy -- World Inside Time Machine: Closed Time-like Curve (H.B. Nielsen and M. Ninomiya) + Astri Kleppe's Song.

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arXiv2005

An example of Kaluza-Klein-like theories leading after compactification to massless spinors coupled to a gauge field

The genuine Kaluza-Klein-like theories (with no fields in addition to gravity with torsion) have difficulties with the existence of massless spinors after the compactification of some of dimensions of space\cite{witten}. We demonstrate in this letter on an example of a flat torus - as a compactified part of an (1+5)-dimensional space - that for constant fields and appropriate boundary conditions there exists in the 1+3 dimensional space a massless solution, which is mass protected and chirally coupled with a Kaluza-Klein charge to the corresponding gauge field.

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arXiv2002

Proceedings to the Workshops ''What comes beyond the Standard model'' 2000,2001, VOLUME 1: Festschrift dedicated to the 60th birthday of Holger Bech Nielsen

The present volume is the collection of contributions by friends of Holger Bech Nielsen for his 60th birthday. Contents: 1.Unified internal space of spins and charges (N. Mankoc Borstnik) 2.Semitopological Q-Rings (M. Axenides) 3.Non-local axial anomalies in the Standard model (D. Melikhov, B. Stech) 4.Could there be a fourth generation? (C.D. Froggatt) 5.Another complex Bateman equation (D.B. Fairlie) 6.Non-associative loops for Holger Bech Nielsen (P.H. Frampton) 7.Particles, fluids and vortices (J.W. van Holten) 8.Results on 2D current algebras (J.L. Petersen) 9.Phase transition in gauge theories and the Planck scale physics (L.V. Laperashvili and D.A. Ryzhikh) 10.Some remarks on the 'classical' large N limit (P. Olesen) 11.String theory and the size of hadrons (L. Susskind) 12.Relativity and $c/sqrt3$ (S.I. Blinnikov, L.B. Okun and M.I. Vysotsky) 13.Vortices (Jeff Greensite)

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arXiv2001

How to generate spinor representations in any dimension in terms of projection operators

We present a method to find solutions of the Weyl or the Dirac equation without specifying a representation choice for $γ^a$'s. By taking $γ^a$'s formally as independent variables, we construct solutions out of $2^d$ orthonormal polynomials of $γ^a$'s (in $d$-dimensional space) operating on a ``vacuum state''. Polynomials reduce into $2^{d/2}$ or $2^{(d+1)/2}$ repetitions of the Dirac spinors for $d$ even or odd, respectively. We further propose the corresponding graphic presentation of basic states, which offers an easy way to see all the quantum numbers of states with respect to the generators of the Lorentz group, as well as transformation properties of the states under any operator.

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