Non-standard Dirac adjoint spinor: The emergence of a new dual

In this present communication we provide a new derivation of the Dirac dual structure by employing a different approach from the originally proposed. Following a general and rigorous mathematical process to compute the dual structure, we investigate if is possible to break the existing "rigidity" in its primordial formulation. For this task, firstly, we look towards to understand the core of the Dirac spinors construction and then, we suggest to built an alternative dual structure for the Dirac spinor, which preserve an invariant norm under any $SL(2,\mathcal{C})$ transformation. Finally, we verify if the prominent physical contents are maintained or if it is affected by such construction.Comment: 7 pages, 0 figure

Trata de mujeres y niños en la Araucanía

Indexación: Revista UNABEn la época colonial se practicó en Chile la esclavitud de los indígenas capturados en la Guerra de Arauco. Los indígenas amigos también vendían a sus congéneres rivales según sus costumbres ancestrales. Prohibida en 1682, la esclavitud siguió practicándose la de manera encubierta y se reactivó en los años de la Independencia. Muy disminuida, informal y de manera más benevolente y esporádica se mantuvo en los comienzos de la República. Abstract: During the Chilean colonial period, the natives captured at the War of Arauco were made into slaves. Simultaneously, an ancient tradition made it possible for some natives to sell fellow countrymen against whom they held a grudge. Abolished in 1682, slavery was practised in a concealed way and it gained back prominence during the years ofthe independence movement periodo It still existed at the dawn ofthe republican era, albeit in a diminished, informal, and more benevolent and sporadic fashion

On the Spinor Representation

A systematic study of the spinor representation by means of the fermionic physical space is accomplished and implemented. The spinor representation space is shown to be constrained by the Fierz-Pauli-Kofink identities among the spinor bilinear covariants. A robust geometric and topological structure can be manifested from the spinor space, wherein, for instance, the first and second homotopy groups play prominent roles on the underlying physical properties, associated to the fermionic fields.Comment: 16 page