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…
In my last few posts, we looked at the “loops” of the Collatz problem. We saw how positive numbers get stuck in the 4-2-1 loop, and how negative numbers have their own hidden loops in a “mirror world.” In the next post, I created an app that displayed how the collatz iterates can be obtained…
How brilliant minds transformed a philosophical idea into the foundation of modern physics Have you ever wondered what happens if you keep cutting something smaller and smaller? 🤔 This simple question launched humanity’s greatest scientific adventure, transforming our understanding from solid matter to quantum clouds and revolutionizing everything from medicine to computers. The Ancient Mystery…
Shopping on Amazon India has become a gamble. With 4 to 6 sponsored ads appearing before a single organic result, you aren’t seeing the best products—you’re seeing the ones that paid the most to be there. This “ad-first” design is a major reason why 68% of shoppers regret at least one purchase every month. In…
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!
It started in 1996. I was in the final year of my B.Sc., reading a journal called Resonance, when I saw a math problem that looked deceptively simple. It was the Collatz Conjecture. Five years later, after finishing my Masters in Physics, I was looking for a PhD topic and remembered that old puzzle. I…
From Mechanics to Metrics In the previous blogs of this series, I have described the app like a theoretical physicist. But a theory is nothing without hard data. We know how the numbers crash, but we haven’t asked: How high do they fly before they fall? And how long do they survive? Today, I am…
It started with a picture I found online. My brain, like any physics teacher’s, quickly put a label on it: “calorimeter.” It was a copper pot with a lid, so it seemed obvious. But something was bugging me. A normal calorimeter has a simple stirrer to gently mix the water. This one had a complex…