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Alright, so according to Bernoulli's principle says that moving fluids result in a lower air pressure. Light and all electromagnetic waves are fastest in a vacuum. Lower air pressure is closer to a vacuum. So... Marginally? I have no idea how much but I'm guessing it's miniscule enough to need special equipment to detect. Not worth it. Plus the fan itself could block the waves. The fields around the wires powering the fans would have an effect as well. All of this is going to be super minor but I think the physical blockage of the fan is going to have more of an effect (but still teeny tiny) than anything.
In order to be unessecary specific:
if it would benefit the waves:
it would only benefit the outgoing waves.
The waves coming back feom clients, transmitting data back to the wifi access point would have to fight against this additional airpressure.
But this is all only hypothetical and i am sure in the real world it would make no difference even if there would be a benefit in theory.
And yes you are correct the electromanetic field of the spinning fan would definitly harm and not improve the signal quality.
It's simple. We point it away from the router except during large uploads!
No no no we make use of MIMO beamforming and let the uplink signal get reflected towards the back of the fan so it slipstreams into the router
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