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  1. Quantum mechanics is the framework that underpins our understanding of the microscopic world.

  2. If you’ve looked into general relativity or differential geometry, you might have come across the metric tensor at some point.

  3. Noether’s theorem, named after the German mathematician Emmy Noether, is often said to be one of the most important results in modern physics.

  4. Most people have heard of basic calculus and know about its applications to, for example, geometry or physics.

  5. Fewer than 10 years after Einstein’s derivation of his famous field equations, there were already several exact solutions known, including the Friedmann–Lemaître–Robertson–Walker (FLRW) solution, describing an expanding universe.

  6. Classical mechanics describes everything around us from cars and planes even to the motion of planets.

  7. Electromagnetism is one of the cornerstones of modern physics, taking its place next to special and general relativity.

  8. When we warn people not to touch an object that’s really hot, we might say something like “be careful!

  9. Intuitively, momentum and kinetic energy are both about speed and how much mass something has – if you increase either the speed or mass of an object, it gains more kinetic energy and momentum.

  10. If electrons are negatively charged and the nuclei in atoms are positively charged, they should attract each other and intuitively, it would seem that electrons should just fall into the nucleus.