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Can someone explain this ElectroBoom experiment

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with2ls

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Can anyone explain what is actually happening in this video by ElectroBoom at the 7:10-7:40 mark:
Name of video: How Wrong Is VERITASIUM? A Lamp and Power Line Story

Quote:
"AC is a different beast though, as the frequency rises, the energy will find and radiate through many different parasitic, capacitive, and inductive pathways to the load or to the environment."

He then shows a loop of wire with an LED and a single connection to a function generator.

I have setup the same experiment and seen similar results. Just changing environment, like moving my hands around it, can have significant impacts on the LED brightness.
Can anyone explain what is going on here (what is causing current in the loop to illuminate the LED)?
Is it just a loop antenna?
Is there a simple way to measure the RMS current coming from the function generator (it's running at ~5MHz).
 

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