The Geometry of Reality: Physics the Mathematical Way
Welcome to The Time Reversal. This platform is dedicated to the idea that the most profound physical phenomena are often written in the language of abstract mathematics.
As a researcher in semiconductor physics and micromagnetics, my approach is driven by a fascination with how abstract structures—such as differential geometry, algebraic topology, and algebraic geometry—provide the scaffolding for physical reality. Whether it is the topological stability of magnetic skyrmions or the fiber bundles of gauge theories, I believe that understanding the math is the key to mastering the physics.
Here, you will find a collection of research notes, interactive simulators, and deep dives that bridge the gap between rigorous mathematics and state-of-the-art physics and chemistry. This is a space for those who aren't afraid to dive into the equations to see the beauty of the universe.
Explore the interactive tools on the left to see these mathematical principles in action, so buckle up, and enjoy the ride.
Kronig–Penney Model versus the 1D Hydrogen Chain.
Band Formation in Periodic Potentials: Transfer matrix method...
Empty lattice model: Group theory analysis
A deep dive into the empty lattice model with all its symmetries...
Classical Mechanics: Central potentials
Applying the central potential to find the Hydrogen atom's energy level.
Hydrogen Atom Wave Function
A deep dive into the Hydrogen atom using the Whittaker differential...