Banach-Tarski Paradox
Can a ball be reassembled into two identically-sized copies of itself? The answer is surprisingly yes! What is this Theorem? The Banach-Tarski paradox is perhaps the most astonishing theorem in modern mathematics, being highly counterintuitive. Essentially, it state…
Hawking vs Holography Part 1
“If you can’t explain it simply, that means you don’t understand it well enough” says Einstein on understanding and explaining things. Richard Feynman, another brilliant physicist, was famous to make people understand physics in an intuitive way. After Feynman, ther…
Black Element Matters!
Carl Sagan, a famous Astrophysicist used to say, “We are made of star-stuff!” The thing about this quote is that it is a very scientifically accurate concise statement that sounds good too. Carl Sagan was one of the brilliant minds in the field of science. He was on…
Interpretation of Quantum Mechanics
Abstract The physical theory of quantum mechanics (or quantum field theory, by extension) stands all on its own, irrespective of whatever interpretation we apply to it. In other words, quantum theory works perfectly fine exactly as it is, where quantum operators act …
The Observer's Measurement Affects the Reality
Many wrong or at least incomplete or naive answers here. It is not necessary to “disturb” a particle to “observe” it. Modern versions of the infamous double-slit experiment can generate which-path information without ever interacting with the particle, the particle is …
Knotty Mathematics
Terrance tao, the smartest mathematician alive was once asked about the toughest concept in mathematics according to him. "Geometry and Topology", he yelled, no doubt on the face. The mathematician with an IQ of 230 is not very good in Topology ( but he can…
Falling into a Black Hole
When Alice falls into the rabbit hole, she experiences a host of "curiouser and curiouser" phenomena. She gets smaller, she gets bigger, she almost drowns in a sea of her own tears and she meets an assembly of strange creatures. As it turns out, falling into …
Solar Nutrino Problem
Solar neutrino problem is a long-standing astrophysics problem where the amount of observed neutrinos originating from the Sun was much less than expected. It happens in the Sun that the process of energy generation results from the enormous pressure and density…
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