Today, we will talk about 3 equations, one which led to inception of Quantum Mechanics(QM), other gave the foundations of General Relativity and finally, quite aptly, an equation which was the first successful attempt to combine QM and relativity.

The pursuit of the theoretical physicists is to explain different phenomenons by a common underlying theory. A theory would consist of mathematical rules which has to explain the observations. The approach generally, is to fit the experimental data to a mathematical model. However, there have been many instances, where Mathematics and the beauty of it, forced the hand (or should I…

Assuming we are not cosmology experts here, I have tried to set the minimal context to answer the question titled here. Let’s get started and I promise we will be there soon.

Why should I believe that the universe has an age? Why can’t it just exist forever and we just happen to be here at this moment, in time?

We have experimentally verified that the universe is rapidly expanding (all galaxies are moving away from each other). …

Mathematics has been a subject which has challenged the greatest minds in human history for ages. Arguably, among the most researched areas in Mathematics is the study of *prime numbers.*

Our wondering about the prime’s patterns have laid down some of the most difficult problems, unsolved by, even the greatest of the mathematical prodigies ever. Today, we will look at 5 of the oldest problems about primes in Mathematics which are intuitive to understand for a high school student but are still unproven even after a hard and strong pursuit for 500–2000 years.

1. Perfect Numbers:

Does ‘odd’ perfect numbers…

I have not written t=0 to signify that not everything is known about t=0.

Our current theories and understanding of fundamental forces can't predict or explain the state of the universe for t < 10^(-33) seconds.

At this point, without a theory combining GR and Quantum Mechanics, we can't have a mathematical formulation.

Background :

2018 pass out from Mathematics Department.

Experience: Microsoft 2018–2020.

Applied through college’s senior referral in Oct 2020.

Result:

Got my offer at the around 1st week of Dec’2020.

(The whole process took around 1 month)

Interview Process:

`Round 1 : System Coding`

Round 2 : DS Algo

Round 1 and 2 were the screening rounds.

`Round 3 : System Coding`

Round 4 : System Design

Round 5,6 : Discussion with Engineering Director and Team Manager #Non-Technical

Details:

I am not going to share questions about asked in any of the interviews due to NDA. That won’t be much helpful…