4 papers
On Geometric Evolution and Microlocal Regularity of the Navier-Stokes Equations
Sebastián Alí Sacasa-Céspedes
We propose a microlocal-Riemannian framework for the three-dimensional incompressible Navier-Stokes equations on a smooth oriented Riemannian manifold (M,g). The dynamics is lifted…
Topological Regularization of 1 Loop and 2 Loop Gravitational Corrections in the Higgs Fermion Sector
Sebastián Alí Sacasa-Céspedes
Quantum gravity corrections to the behavior of matter, such as Higgs bosons and fermions, are notoriously difficult to calculate. The standard tools of quantum field theory often b…
First-Principles Prediction of Material Properties from Topological Invariants
Sebastián Alí Sacasa-Céspedes
Methods for predicting material properties often rely on empirical models or approximations that overlook the fundamental topological nature of quantum interactions. We introduce a…
Topological Regularization
Sebastián Alí Sacasa-Céspedes
This work introduces topological regularization as a framework for handling ultraviolet divergences in quantum field theory, reinterpreting infinities as topological obstructions a…