About
23
Publications
1,449
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
50
Citations
Citations since 2017
Introduction
I am a theoretical physicist interested in the broad intersection between physics and mathematics.
I am currently working mainly on three areas: electrovacuum solutions in five dimensions (rotating, charged blackholes), spinor fields in the context of teleparellel gravity, and applications of Clifford algebras in physics.
I am particularly interested in the application of Clifford algebras in many areas within STEM.
Additional affiliations
August 2021 - present
April 2020 - present
Instituto de Astronomía y Física del Espacio (UBA & CONICET)
Position
- PostDoc Position
March 2016 - July 2016
Education
April 2015 - March 2020
March 2009 - March 2015
Publications
Publications (23)
En el presente trabajo se introduce el álgebra de Clifford asociada a un espacio cuadrático, utilizando técnicas de álgebra universal y teoría algebraica de formas cuadráticas. También se definen los grupos de Clifford y los grupos Pin y Spin asociados a estas álgebras y se estudia la relación existente entre estos grupos y las isometrías del espac...
It is a well known fact that the usual complex structure on the real Clifford Algebra (CA) of Minkowski spacetime can be obtained by adding an extra time-like dimension, instead of the usual complexification of the algebra. In this article we explore the consequences of this approach and reinterpret known results in this new context.
We observe th...
Dirac linear spinor fields were obtained from non-linear Heisenberg spinors, in the literature. Here we extend that idea by considering not only Dirac spinor fields but spinor fields in any of the Lounesto's classes. When one starts considering all these classes of fields, the question of providing a classification for the Heisenberg spinor natural...
Because of the isomorphism $\operatorname{Cl}_{1,3}(\Bbb{C})\cong\operatorname{Cl}_{2,3}(\Bbb{R})$, it is possible to complexify the spacetime Clifford algebra $\operatorname{Cl}_{1,3}(\Bbb{R})$ by adding one additional timelike dimension to the Minkowski spacetime. In a recent work we showed how this treatment provide a particular interpretation o...
Five-dimensional Einstein-Maxwell-Chern-Simons equations are investigated in the framework of an extended Kerr-Schild strategy to search for black holes solutions. The fulfillment of Einstein equations constrains the Chern-Simons coupling constant to a value determined by the trace of the energy-momentum tensor of the electromagnetic configuration.
Five-dimensional Einstein–Maxwell–Chern–Simons equations are investigated in the framework of an extended Kerr–Schild strategy to search for black holes solutions. The fulfillment of Einstein equations constrains the Chern–Simons coupling constant to a value determined by the trace of the energy-momentum tensor of the electromagnetic configuration.
![Zn\documentclass[12pt]{minimal} \usepackage{amsmath}...](publication/349336377/figure/fig1/AS:991702470905856@1613451702312/Zndocumentclass12ptminimal-usepackageamsmath-usepackagewasysym_Q320.jpg)
![Structure of k-vectors for Cℓ2,3\documentclass[12pt]{minimal}...](publication/349336377/figure/fig2/AS:991702470893570@1613451702377/Structure-of-k-vectors-for-Cl2-3documentclass12ptminimal-usepackageamsmath_Q320.jpg)
![The embedding Cℓ1,3(R)↪Cℓ2,3(R)\documentclass[12pt]{minimal}...](publication/349336377/figure/fig3/AS:991702470889475@1613451702493/The-embedding-Cl1-3RCl2-3Rdocumentclass12ptminimal-usepackageamsmath_Q320.jpg)
Because of the isomorphism \(C \ell _{1,3}({\mathbb {C}})\cong C \ell _{2,3}({\mathbb {R}})\), it is possible to complexify the spacetime Clifford algebra \(C \ell _{1,3}({\mathbb {R}})\) by adding one additional timelike dimension to the Minkowski spacetime. In a recent work we showed how this treatment provide a particular interpretation of Dirac...
Using the isomorphism Cl1,3(C)≅Cl2,3(R), it is possible to complexify the spacetime Clifford algebra Cl1,3(R) by adding an additional timelike dimension to the Minkowski spacetime R1,3. In a recent work we showed that this treatment provide a particular interpretation of Dirac particles and antiparticles in terms of the two timelike coordinates. Th...
In this work we explore the boundary conditions in the Einstein-Hilbert action, by considering a displacement from the Riemannian manifold to an extended one. The latter is characterized by including spinor fields into the quantum geometric description of a noncommutative spacetime. These fields are defined on the background spacetime, emerging fro...
It is a well known fact that the usual complex structure on the real Clifford Algebra (CA) of Minkowski spacetime can be obtained by adding an extra time-like dimension, instead of the usual complexification of the algebra. In this article we explore the consequences of this approach and reinterpret known results in this new context. We observe tha...
In this work we explore the boundary conditions in the Einstein-Hilbert action, by considering a displacement from the Riemannian manifold to an extended one. The latter is characterized by including spinor fields into the quantum geometric description of spacetime. These fields are defined on the background spacetime, emerging from the expectation...
Dirac linear spinor fields were obtained from non-linear Heisenberg spinors, in the literature. Here we extend that idea by considering not only Dirac spinor fields but spinor fields in any of the Lounesto’s classes. When one starts considering all these classes of fields, the question of providing a classification for the Heisenberg spinor natural...
Recent observations of Gravitational Waves (GW) generated by black-hole collisions have opened a new window to explore the universe in diverse scales. Detection of primordial gravitational waves is expected to happen in the next years. However, the standard theory to describe these effects was developed for weak gravitational waves, when their dyna...
In these notes we introduce the Clifford algebra of a quadratic space using techniques from universal algebra and algebraic theory of quadratic forms. We also define the Clifford, Pin and Spin groups associated to the algebra, and study how they relate to the isommetry group of the original quadratic space. Lastly we introduce the algebraic spinors...
En estas notas se introduce el concepto de variedad diferencial pseudo-riemanniana y la idea de campos tensoriales en dicha estructura. Posteriormente se da la definición de una conexión afín que nos permite hablar de cálculo diferencial en las variedades y más adelante se definen los tensores de curvatura que están asociados a la geometría de la v...
Recently observations of Gravitational Waves (GW) generated by black-hole collisions have opened a new window to explore the universe in diverse scales. It is expected that in the following years be possible the detection of primordial gravitational waves. However this formalism is developed for weak gravitational waves, when the dynamics of the wa...
We study the emission of neutral massless $(1, 2)\hbar$-spin bosons during power-law inflation using unified spinor field theory. We shows that during inflation gravitons and photons were emitted with wavelengths (on physical coordinates) that increase as the Hubble radius: $\lambda_{Ph} \sim a/H$. The quantised action related to these bosons is ca...
We obtain the equation that describe the conditions of quantization for neutral massless bosons on an arbitrary curved space-time, obtained using a particular theoretical formalism developed in a previous work (M.R.A. Arcodıa and M. Bellini, arXiv:1703.01355). In particular, we study the emission of neutral massless spin-(1, 2)ℏ bosons during pre-i...
We propose an unified theory for spinor fields on extended Weyl manifolds taking into account self-interactions to obtain the Relativistic dynamics on a general curved Riemannian background as continuation of the Relativistic Quantum Geometry program, recently introduced\cite{rengo}. We focuss our attention separately on both, massless and matter f...
Using Relativistic Quantum Geometry we show that the entropy can decrease in very small BHs, under certain circumstances, but always increases in very massive Black-Holes.
In the recently introduced Relativistic Quantum Geometry (RQG) formalism, the possibility was explored that the variation of the tensor metric can be done in a Weylian integrable manifold using a geometric displacement, from a Riemannian to a Weylian integrable manifold, described by the dynamics of an auxiliary geometrical scalar field θ, in order...
The pre-inflationary evolution of the universe describes the beginning of the expansion of the universe from a static initial state, such that the Hubble parameter is initially zero, but increases to an asymptotic constant value, in which it could achieve a de Sitter (inflationary) expansion. The back-reaction effects at this moment should describe...
In the Relativistic Quantum Geometry (RQG) formalism recently introduced, was explored the possibility that the variation of the tensor metric can be done in a Weylian-like integrable manifold using a geometric displacement, from a Riemannian to a Weylian-like integrable manifold, described by the dynamics of an auxiliary geometrical scalar field $...
Projects
Projects (3)
As the spacetime algebra (STA), can be complexified by adding an extra timelike dimension to the Minkowski spacetime, we call this way of obtaining the complex STA, 2T (two times) complexification. The goal of this project is to study different aspects of using Cl_{2,3}(R) instead of Cl_{1,3}(C) as the complex STA. These aspects include: interpretation of complex spinors within this context, particles and antiparticles, interpretation of imaginary numbers, symmetries (mainly the discrete symmetries C,P and T) and chirality.
A particularly interesting topic is the study of the 4D massive Dirac equation from an induced matter point of view, where the mass of the field is associated to the 5-momentum of the spinor field. In this way, the mass is not a scalar with respect to O(2,3) but only with respect to subgroup O(1,3), which is the Lorentz group. In particular this implies that mass would have a non-trivial behavior wrt discrete symmetries. The study of this behaviour could tell us if using Cl_{2,3}(R) instead of Cl_{1,3}(C) is physically plausible or not.
I am studying extensions of General Relativity with Weyl's manifolds with their applications to gravitation and cosmology.
