Welcome to Altered Chain

Hello, I'm Jorge — a student of mathematics with an insatiable curiosity for the deep structures that govern both abstract theory and the physical world.

Altered Chain is my digital laboratory: a space where I explore the interplay between pure mathematics, physics, and data — from symmetry in tensor spaces to the hidden patterns behind real-world systems.

Whether you're a fellow math enthusiast, a student navigating science, or someone intrigued by the foundations of reality, this blog offers a blend of rigorous analysis, creative inquiry, and reflections on the evolving landscape of mathematical and scientific discovery.

Join me as I unravel chains of abstraction, connect ideas across disciplines, and contribute to a community passionate about understanding the universe through the lens of mathematics.

Currently, one of my favorite theorems is Maschke’s Theorem — a fundamental result in representation theory which states:

Every finite-dimensional representation of a finite group over a field of characteristic not dividing the order of the group is completely reducible.

It’s a beautifully precise insight into how symmetry can be decomposed — and it reflects the kind of structure and elegance I hope to uncover in both mathematics and physics.