There is a popular mathematical result which says that the sum of all natural numbers is -1/12. I have discussed it in detail here. This looks very unintuitive to a first time observer. In fact, most people would say that this is some kind of mathematical trickery. How can a bunch of positive numbers sum … Continue reading What Is Zeta Function Regularization?
Tag: Physics
What Is A Singularity?
You must have heard the term "singularity" being used in various contexts. We see it in mathematics, physics, circuit design, mechanics, fluid dynamics, etc. The word "singular" means something that is extraordinary, unique, and strange. When we talk about singularity in mathematics, we usually refer to the uniqueness of mathematical objects. In particular, singularities refer … Continue reading What Is A Singularity?
1 + 2 + 3 + 4 + 5 + …. = -1/12
Wait a minute, what? That looks very very wrong. You must be wondering if the title is some horrendous typo, right? Well, let me assure you that it's absolutely not! The sum of all natural numbers is equal to -1/12. This blog post is not just about mathematical trickery either. The equation in the title … Continue reading 1 + 2 + 3 + 4 + 5 + …. = -1/12
Quantum Encryption And Black Holes – Part 2/2
In the previous post, we discussed about the concepts of quantum encryption and black holes. We also talked about how we do cryptography in the subatomic world. This blog post is a continuation of that discussion. As the title suggests, the overarching theme is the relationship between quantum encryption and black holes. Let's continue talking … Continue reading Quantum Encryption And Black Holes – Part 2/2
Quantum Encryption And Black Holes – Part 1/2
Is that really the title? It looks like two random things mashed up together. Doesn't make much sense, right? Well, recent research suggests that quantum encryption and black holes may be related. A proposed mathematical proof outlines the way in which information behaves in coded messages, and this may have implications for black holes. The … Continue reading Quantum Encryption And Black Holes – Part 1/2
What Is The Poincaré Conjecture?
Before we start, let me put something out there. Poincaré Conjecture is one of the seven millennium problems established by the Clay Mathematics Institute. Those problems are worth a million dollars each! The Poincaré conjecture depends on the mind-numbing problem of understanding the shapes of spaces. This field of study is referred to as "topology" … Continue reading What Is The Poincaré Conjecture?
Perpetual Enigma 