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On the Pauli Exclusion Principle

Quantum mechanics is the most nuanced and interesting field I’ve ever come across. From unfamiliar mathematical structures to intrinsic indeterminism and deeply paradoxical behavior, it is full of rules that sound simple—until you stare at them closely. Honestly, it’s a big part of why I love physics and also why I’ve started to genuinely like chemistry.  

The Pauli exclusion principle is a perfect example. At first glance, the statement "no two electrons of the same spin can occupy the same orbital'' feels like just another neat rule to plug into chemical diagrams. It pops up everywhere in chemistry: orbitals, electron configurations, the periodic table. But once you pause and ask "why on earth should this be true?'', it stops looking like an arbitrary instruction and starts looking like a shadow of something deeper.

 One tempting classical intuition is that the electron’s spin generates a tiny magnetic moment, and perhaps like‑spin electrons repel magnetic...

From the big bang to the end of the universe

 


When Einstein developed the general theory of relativity, he was not satisfied with it as he believed that the universe should be stable. After a lot of thinking he added a new cosmological constant which is the opposite of gravity, if gravity attracts things it repels things. It worked out well until scientist discovered that the universe was expanding. Edwin Hubble found out that two different galaxies were moving apart from each other using the doppler effect theory which states that wavelengths get shorter the closer the object moves towards you. Einstein was puzzled by this. Although he strongly believed in a more stable universe, his work on the expansion of the universe ended up making him the rightful owner of the theory, even if he didn’t want to be. This theory led scientists to believe in a ‘big bang’ and that everything started out from a single singularity and spread out to the universe we know and believe in today. They even conceptualized a new energy particle corresponding to this- Dark energy (Anti-Gravity).  A few years later, to the surprise of many, it was calculated that the rate of expansion is speeding up, which led theoretical physicists  to postulate three ways the universe might end:

·    Big Crunch

The scenario in which gravity overcomes dark energy and results in everything coming together into a dense, massive singularity (much like the opposite of big bang).

·    Heat death

When dark energy stretches gravity to the point it loses its pull and the universe continuously expands at a constant velocity for ever losing all sources of heat.

·    Big Rip

When gravity is overcome by dark energy by so much that it also overcome the nuclear and electromagnetic forces that hold together atoms ripping all matter in the universe.

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