The Anatomy of Integers From Dynamics to Structure For the first six installments of this research series, we have been obsessed with the motion of the Collatz Conjecture. We have built instruments to track the chaotic trajectories, measure their dizzying heights, and time their eventual decay. We have studied the dynamics of the problem. But…
From Bengaluru with love: A wild ride through code, physics, and AI collaboration ☕️✨ 💡 When Your AI Friend Knows More Physics Than You Do Here in Bengaluru, the coffee is strong and the code is stronger! ☕️ As a developer who loves a good challenge, my latest adventure was absolutely insane: building a 2D…
In my last post, I shared how I used AI to explore the strange “mirror world” of negative integers in the Collatz Conjecture. Today, I want to talk about why I built this visualization app in the first place. The Pen and Paper Struggle Back in 1996, and later during my PhD research, my “computer”…
In Parts 1, 2, and 3, we treated the Collatz Conjecture like a movie—we watched numbers travel through loops, spirals, and fractals. We were observers of the chaos. But as a physicist, observation isn’t enough. We need classification. Before Mendeleev created the Periodic Table, chemistry was a messy list of elements. Mendeleev realized that elements…
We stand at the cusp of a revolution. Artificial Intelligence is no longer a futuristic fantasy; it’s the engine of our present, promising to optimize everything from medical diagnoses to the very code that builds our digital world. But in our rush to embrace this new power, we often forget that we are dealing with…
As a physics teacher, I realized my students struggled with basic motion concepts, often thinking that objects need constant pushing to keep moving or that speed and acceleration are the same. To tackle this confusion, I created a police chase game that brings physics to life! Through AI coding, I transformed my ideas into a fun, interactive simulation where students can experiment with physics principles. They can adjust speeds, analyze outcomes, and see first hand how physics applies to real-world situations. Join me on this journey of using technology to enhance learning and engage students in a whole new way!
As a bioinformatician, I remember the exact research question that started my journey: “Can we predict the function of hypothetical proteins from the human genome using only computational methods?” The problem was, I had no clear road map. My first year and a half felt less like a scientific investigation and more like a technician’s…
Understanding the electromagnetic revolution that transformed human civilization The Whispers of Hidden Power 🌟 Imagine standing on an ancient Greek hillside, watching in wonder as a mysterious rock pulls iron toward itself with invisible hands. Picture Chinese sailors trusting their lives to a needle that mysteriously points north across endless oceans. For millennia, these phenomena…
Simulations to find the distance between two points using a google map