41 citations · 241 across the 34 of their papers we have counts for
7 papers · 1 filter
Duality, matroids, qubits, twistors and surreal numbers
J. A. Nieto
We show that via the Grassmann-Plücker relations, the various apparent unrelated concepts, such as duality, matroids, qubits, twistors and surreal numbers are, in fact, deeply conn…
Some Mathematical and Physical Remarks on Surreal Numbers
J. A. Nieto
We make a number of observations on Conway surreal number theory which may be useful, for further developments, in both in mathematics and theoretical physics. In particular, we ar…
Dirac Equation in Four Time and Four Space Dimensions
J. A. Nieto, M. Espinoza
The Dirac equation in four time and four space dimensions (or (4+4)-dimensions) is considered. Step by step we show that such an equation admits Majorana and Weyl solutions. In ord…
Towards a unified Lagrangian formalism for Cosmology and Black Holes
G. Avila, J. A. Nieto
Using a Lagrangian formalism we establish a relationship between the (n + D + d) dimensional cosmology, black-holes and the Polyakov action for strings. Specifically, we identify t…
Geometric Structure of Higher-Dimensional Spheres
G. Avila, S. J. Castillo, J. A. Nieto
We explain in some detail the geometric structure of spheres in any dimension. Our approach may be helpful for other homogeneous spaces (with other signatures) such as the de Sitte…
Division-Alebra/Poncare-Conjecture correspondence
J. A. Nieto
We briefly describe the importance of division algebras and Poincaré conjecture in both mathematical and physical scenarios. Mathematically, we argue that using the torsion concept…