On Marshak's and Connes' views of chirality

I render the substance of the discussions I had with Robert E. Marshak shortly before his death, wherein the kinship between the ``neutrino paradigm'' ---espoused by Marshak--- and the central notion of K-cycle in noncommutative geometry (NCG) was found. In that context, we give a brief account of the Connes--Lott reconstruction of the Standard Model (SM).Comment: 10 pages, Plain Te

Improved Epstein-Glaser Renormalization II. Lorentz invariant framework

The Epstein--Glaser type T-subtraction introduced by one of the authors in a previous paper is extended to the Lorentz invariant framework. The advantage of using our subtraction instead of Epstein and Glaser's standard W-subtraction method is especially important when working in Minkowski space, as then the counterterms necessary to keep Lorentz invariance are simplified. We show how T-renormalization of primitive diagrams in the Lorentz invariant framework directly relates to causal Riesz distributions. A covariant subtraction rule in momentum space is found, sharply improving upon the BPHZL method for massless theories.Comment: LaTeX, 15 pages, no figure. Version to be published in J. Math. Phys. (Section 7 on the Massive Case and some references have been withdrawn). To the Memory of Laurent Schwart

Bundles over Quantum Real Weighted Projective Spaces

The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed. Principal U(1)-bundles over quantum real weighted projective spaces are constructed. As the spaces in question fall into two separate classes, the {\em negative} or {\em odd} class that generalises quantum real projective planes and the {\em positive} or {\em even} class that generalises the quantum disc, so do the constructed principal bundles. In the negative case the principal bundle is proven to be non-trivial and associated projective modules are described. In the positive case the principal bundles turn out to be trivial, and so all the associated modules are free. It is also shown that the circle (co)actions on the quantum Seifert manifold that define quantum real weighted projective spaces are almost free.Comment: 25 pages; submitted to special issue of Axioms devoted to Hopf Algebras, Quantum Groups and Yang-Baxter Equation

The Emerging Human Rights Revolution: The Beginning of the Fifth Historical Process in the Consolidation of Human Rights

Emerging human rights are destined to modify, improve and transform a number of already traditional concepts so as to achieve greater guarantees and protection for the rights of individuals and collectivities. One of the big changes that will be brought about by the concept and conception of emerging human rights is that, following on from the processes of positivization, generalization, internationalization and specification, they represent the beginning of the fifth historical process in the consolidation of human rights, namely the process of interaction. A number of breakthroughs have already been achieved, such as the recognition of emerging biocultural rights in the recently adopted Nagoya Protocol on access to genetic resources and shared benefits