6 citations · 18 across the 12 of their papers we have counts for
12 papers
An Axiomatization Proposal and a Global Existence Theorem for Strong Emergence Between Parameterized Lagrangian Field Theories
Yuri Ximenes Martins, Rodney Josué Biezuner
In this paper we propose an axiomatization for the notion of strong emergence phenomenon between field theories depending on additional parameters, which we call parameterized fiel…
On Maximal, Universal and Complete Extensions of Yang-Mills-Type Theories
Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner
In this paper we continue the program on the classification of extensions of the Standard Model of Particle Physics started in arXiv:2007.01660. We propose four complementary quest…
On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories
Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner
In this paper we consider the classification problem of extensions of Yang-Mills-type (YMT) theories. For us, a YMT theory differs from the classical Yang-Mills theories by allowin…
Introduction to Abstract Homotopy Theory
Yuri Ximenes Martins
This is an introduction to the study of abstract homotopy theory by means of model categories and -categories. The only prerequisites are very basic general topology an…
Towards Axiomatization and General Results on Strong Emergence Phenomena Between Lagrangian Field Theories
Yuri Ximenes Martins, Roney Josué Biezuner
In this paper we propose a formal definition of what is a strong emergence phenomenon between two parameterized field theories and we present sufficient conditions ensuring the exi…
Geometric Obstructions on Gravity
Yuri Ximenes Martins, Rodney Josué Biezuner
These are notes for a short course and some talks gave at Departament of Mathematics and at Departament of Physics of Federal University of Minas Gerais, based on the author's pape…
Geometric Regularity Results on -Manifolds, I: Affine Connections
Yuri Ximenes Martins, Rodney Josué Biezuner
In this paper we consider existence and multiplicity results concerning affine connections on -manifolds whose coefficients are as regular as one needs, following the re…
Existence of -Structures on -Manifolds
Yuri Ximenes Martins, Rodney Josué Biezuner
In this paper we introduce -manifolds as generalizations of the notion of smooth manifolds with -structure or with -bounded geometry. These are -manifolds…
Graph Reconstruction, Functorial Feynman Rules and Superposition Principles
Yuri Ximenes Martins, Rodney Josué Biezuner
In this article functorial Feynman rules are introduced as large generalizations of physicists Feynman rules, in the sense that they can be applied to arbitrary classes of hypergra…
Existence and Classification of Pseudo-Asymptotic Solutions for Tolman-Oppenheimer-Volkoff Systems
Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Daniel Teixeira +1
The Tolman--Oppenheimer--Volkoff (TOV) equations are a partially uncoupled system of nonlinear and non-autonomous ordinary differential equations which describe the structure of is…
Constraints Between Equations of State and Mass-Radius Relationships in General Clusters of Stellar Systems
Y. X. Martins, D. Teixeira, L. F. A. Campos +1
In this article we prove three obstruction results on the existence of equations of state in clusters of stellar systems fulfilling mass-radius relationships and some additional bo…
Topological and Geometric Obstructions on Einstein-Hilbert-Palatini Theories
Yuri X. Martins, Rodney J. Biezuner
In this article we introduce -valued Einstein-Hilbert-Palatini functional (-EHP) over a n-manifold , where is an arbitrary graded algebra, as a generalization of the f…