Skip to main content

Featured

Posted by Aarit Jhindal on

Riemann Zeta Function

Imagine a sum that keeps getting bigger: 1 + 2 + 3 + 4 + ... but somehow, its "value" is said to be  \[1+2+3+4+5… = -\frac{1}{12}\] This equation isn’t a joke. It isn’t a typo. And it definitely isn’t like one of those internet tricks that try to prove that 2 = 3. But how? Doesn’t calculus dictate that the sum should diverge? How can an infinite sum of positive integers result in a negative fraction? This equation is one of the paradoxical results of the famed Riemann Zeta function: \[\zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s}\] First Encounters My first encounter of the Riemann Zeta function was in a problem introduced to me in Math circle India:\(\newline\)               What is the probability that two random numbers x & y are coprime i.e. gcd(x,y) = 1 for \(  x,y \in \mathbb N\) At first glance, it seems like an impossible question to compute. We’re picking 2 numbers at random — how do you even define a probability over an...
Post a Comment
Read more
Labels
Posted by Aarit Jhindal on

The Avengers Endgame Theory

 To all marvel fans and lovers, this blog is exclusively dedicated for you, but chin up those who aren't in that category because this is going to be an interesting article.

Many of you have seen avengers endgame and probably have some questions with you- 

Was Ant-Man correct about time being different in the quantum realm?

 Can we harness that time shift to make time machines?

Is it science fiction or possible reality?

Sit back as you are going to get answers to all those questions in my personal info sponge view.

First off for the people who didn't watch Avengers Endgame, what did the goofy Ant-Man say that shook the Earth? Well as Ant-Man was trapped in the quantum realm for years, he stated to the surprise of many, that for him, it only felt like days.

So, is this true, that time in the quantum realm goes at a different velocity* than in the macroscopic realm? Well yes.... So how does it work-

In Einstein's theory of general relativity he stated and it was proven that time goes slower in the presence of gravity, but it is only significant enough to notice when near an object with immensely high gravitational energy. Even though not significant, Earth's gravity dilates time with respect to other places with no massive body to support any much gravity.

Here you go, though flawed, the Avengers Endgame theory still makes sense from the scientific magnifying glass. But time travel is really dangerous as if you change anything major, you change everything. For Example-

Take an example that you go back in time and you kill one of your long line of ancestors because you don't know him. We will also take in consideration that his successor is not born, thus you indirectly killed yourself.

This was only an example for many many of the paradoxes possible by changing anything (even accidentally) by time travel. The paradoxes problem with time travel is only one of the problem in time travel, it can also increase the crime rate.

 


* I used velocity as time is thought to have two directions and maybe even more!

Labels:

Comments

  1. Dipti JindalJune 26, 2021 at 8:21 AM

    This is a very fascinating post . Time travel correlated with the possibility of increase in crime is a dimension I have never thought of . Very interesting ! Keep thinking , keep dreaming and keep writing !

    ReplyDelete

Post a Comment

Please share your thoughts, comments, feedback...

Popular Posts