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MIT put its full quantum physics course online for free and the opening lecture starts with a box you can't look inside. Almost nobody finishes it. This is 8.04, Quantum Physics I, taught by Allan Adams on the MIT campus. Same room, same problem sets, same professor the tuition...

14,430 Aufrufe • vor 3 Monaten •via X (Twitter)

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Ten million people could watch an MIT professor accidentally destroy every assumption about reality in fifty minutes. He filmed it once in 2013. It is still free His name is Allan Adams. He is a string theorist at MIT. He studies quantum gravity and condensed matter. Quantum mechanics is, in his words, his oldest friend. He has spoken to it every day for twenty years. His entire framework fits on a napkin. Color is persistent. Hardness is persistent. Measure both and one destroys the other. Send a single electron down 2 paths and it takes neither. Block both paths and nothing comes out. This is not a thought experiment. This is the laboratory result every time without exception. That last part alone invalidates three centuries of assumptions about how objects move through space. The electron does not take the hard path. Does not take the soft path. Does not take both. Does not take neither. Those are all the options that exist in classical logic. The electron uses none of them. Physicists have a name for what it does instead. They call it superposition. Which is a technical term for we have never seen anything behave this way before and we had to invent an entirely new language to describe it. "Your intuition was developed by throwing spears and running from tigers. You don't need quantum mechanics to make chicken soup." That is the actual line from the lecture. Adams believed it strongly enough to spend the next three months teaching engineers to abandon every instinct they had built since childhood. Here is what the lecture is really about. Adams spends most of it explaining that the problem is not the mathematics. The mathematics of quantum mechanics is not hard. The problem is that the universe at small scales does not behave the way objects behave when you catch toast jumping out of a toaster. Your intuition is not wrong. It is just built for the wrong scale. He teaches this at MIT to engineers who will mostly go on to build chips, write code, and run AI systems that depend on quantum effects they will never think about again. Half of them will spend careers assuming classical logic applies everywhere. The other half will remember the electron that took neither path and wonder what else they assumed that turned out not to be true. "It is not that the electrons are weird. The electrons do what electrons do. The miracle is that 10 to the 27 electrons together behave like cheese." That line is from the lecture. The lecture came out in 2013. Adams has been teaching this course for over a decade and the result is always the same: the math lands in week two, the intuition takes three months, and most people leave still quietly hoping the electron took one of the paths. The lecture is free on MIT OpenCourseWare. The textbook is free on his page. The barrier is not access. The barrier is sitting with the discomfort long enough to let the model of reality you have carried since childhood actually break. The napkin costs nothing. Updating your mental model of how the universe works at the scale that now runs inside every device you own is the entire edge.

vladuah

22,854 Aufrufe • vor 3 Monaten

Gilbert Strang taught linear algebra at MIT for fifty years. His last lecture is on YouTube. It has fewer views than his worst lecture. Nobody told students it was the last one. He just walked in, said "the final class in linear algebra at MIT," and started reviewing old exams. Google built a $2,000,000,000,000 company on one concept from this course. He is 88 years old. He still answers emails. This is MIT 18.06. Linear Algebra. The most watched mathematics course in history. Then the Markov matrix. Strang writes a transition matrix on the board. Three states. People moving between them every step. After enough steps - the system locks into a steady state that never changes. That steady state is an eigenvector. Google's PageRank works the same way. Websites are states. Clicks are transitions. The importance of every page on the internet is one eigenvector of one enormous matrix. Then least squares. Three data points. No line passes through all three. So you find the line that minimizes total error. That is how every AI model on earth is trained - including the ones running inside Goldman Sachs trading desks. Then the projection. The closest point on a plane to a vector outside it. Strang draws it in 30 seconds. That same operation is how Netflix decides what to recommend to 280,000,000 subscribers. Watch the moment he gives back the final exam answer and asks students to work backwards to the question - the room solves it in silence faster than any other lecture all semester. A software engineer told me 18.06 was the course that got her from $90,000 to $200,000 in two years. Same company. Different title. Bookmark this and watch later - after this lecture every dataset you touch will feel like a geometry problem waiting to be solved. MIT 18.06 Lecture 34 | Linear Algebra Final Review | Gilbert Strang

Zyphor

56,603 Aufrufe • vor 2 Monaten