On higher category theory and physics in view of Hilbert's sixth problem:
On obstructions to realize gravity (as Einstein–Hilbert–Palatini theories) in geometries other than Lorentzian and Riemannian:
Yuri Ximenes Martins, Rodney Josué Biezuner, Topological and Geometric Obstructions on Einstein-Hilbert-Palatini Theories, Journal of Geometry and Physics Volume 142, August 2019, Pages 229-239. (arXiv:1808.09249)
Yuri Ximenes Martins, Rodney Josué Biezuner, Geometric Obstructins on Gravity, 2019, (arXiv:1912.11198)
On the classification problem of extensions to the Standard Model of particle physics:
Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner, On Extensions of Yang-Mills-Type Theories, Their Spaces and Their Categories, 2020, (arXiv:2007.01660). Submitted
Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Rodney Josué Biezuner, On Maximal, Universal and Complete Extensions of Yang-Mills-Type Theories, 2020, (arXiv:2007.08651). Submitted
On the axiomatization problem of Astrophysics:
Yuri Ximenes Martins, Daniel de Souza Plácido Teixeira, Luiz Felipe Andrade Campos, Rodney Josué Biezuner, Constraints Between Equations of State and Mass-Radius Relationships in General Clusters of Stellar Systems, Phys. Rev. D 99, 023007 (2019). (arXiv:1808.09306)
Yuri Ximenes Martins, Luiz Felipe Andrade Campos, Daniel de Souza Plácido Teixeira, Rodney Josué Biezuner, Existence and Classification of Pseudo-Asymptotic Solutions for Tolman-Oppenheimer-Volkoff Systems, Annals of Physics, v. 409, p. 167929, 2019. (arXiv:1809.02281)
On a program attempting to get existence and multiplicity results for geometric objects on $C^k$-manifolds fulfilling arbitrarily given regularity conditions.
Yuri Ximenes Martins, Rodney Josué Biezuner, Existence of $B^k_{\alpha,\beta}$-Structures on $C^k$-Manifolds, 2019. (arXiv:1908.04442). Submitted
Yuri Ximenes Martins, Rodney Josué Biezuner, Geometric Regularity Results on $B_{\alpha,\beta}^{k}$-Manifolds, I: Affine Connections, 2020. (arXiv:1910.03113). Submitted
On an axiomatizatic proposal to the notion of strong emergence between Lagrangian field theories:
On a functorial extension of Feynman rules from Feynman graphs to structured hypergraphs.
Last revised on August 6, 2020 at 11:26:16. See the history of this page for a list of all contributions to it.