A Feynman diagram ✍️
It is a simple picture that physicists use to show how tiny subatomic particles, like electrons, interact in quantum field theory. In these diagrams, straight lines with arrows usually represent matter particles such as electrons, with arrows pointing forward in time for particles and backward for antiparticles. Wavy or squiggly lines represent force-carrying particles like photons. The points where lines meet are interaction vertices, such as when an electron emits or absorbs a photon. Time flows from left to right, and each diagram illustrates one possible way a quantum process can happen mathematically, even though particles do not actually follow literal paths. Physicists calculate the probability of real events by adding contributions from many such diagrams based on specific Feynman rules. A classic example is two electrons repelling each other by exchanging a virtual photon, shown as a wavy line between them. Invented by Richard Feynman, these diagrams make complex quantum calculations visual and much easier to work with in particle physics.
Stokes' Theorem, distilled:
The line integral of F around any closed curve C equals the surface integral of curl F over any surface S it bounds.
Every circulation on the boundary is accounted by the net "swirl" inside.
∮_C F · dr = ∬_S (∇ × F) · dS
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