What Are the Most Fascinating Idealized Entities in Physics?

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The discussion centers on the concept of idealized entities used in physics, such as massless springs and friction-free slopes. Participants mention various examples, including point masses, massless strings, ideal elastic strings, ideal black bodies, and zero internal resistance batteries. Other idealizations discussed include containers with zero heat capacity, pendulums performing simple harmonic motion, ideal gases, and thin lenses depicted without thickness in ray diagrams. These idealizations help simplify complex physical systems for analysis and problem-solving. The conversation highlights the importance of these concepts in theoretical physics.
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In this thread mgb listed massless springs and friction free slopes. That made me think - what other idealized entities (not sure of that's the best selection of word, feel free to correct/edit) do we use in physics? Other things that I can think of just off the top of my head are point masses, massless strings and rods, ideally elastic strings, ideal black body, zero internal resistance batteries.

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Containers with zero heat capacity
Pendulums that actually perform SHM (the theta = sine theta trick!)
Ideal gasses
"Thin" lenses shown as having no thickness in ray diagrams
 
Hello! Let's say I have a cavity resonant at 10 GHz with a Q factor of 1000. Given the Lorentzian shape of the cavity, I can also drive the cavity at, say 100 MHz. Of course the response will be very very weak, but non-zero given that the Loretzian shape never really reaches zero. I am trying to understand how are the magnetic and electric field distributions of the field at 100 MHz relative to the ones at 10 GHz? In particular, if inside the cavity I have some structure, such as 2 plates...
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