But do we really get an idea of how the bird really 'feels' those electromagnetic lines?
I once heard someone describe a dogs sense of smell as allowing the animal to 'see' smells.
While I don't think we can fully comprehend the information of these senses, this is not really what you were asking (or what I got from the question).
That would be more like a blind person trying to 'visualize' sight, even when it is described to them -- but then think how difficult it is to visualize a sense that you have absolutely no knowledge of.
We have a sense of up and down because of the interaction of gravity with our inner ears, perhaps the sense that birds have is similar to this. (Octopii on the other hand have eyes with weights so their horizontal eye slit is always level, no inner ear sense of gravity).
Thinking of "seeing" in radio waves is just an extension of visual imagery, and is usually translated into visual images for consumption. Likewise, translation of "ultrasound" and "infrasound" is usually done by changing the frequency to ones we naturally hear.
This is not analogous to imagining a new way of sensing the universe and then building something to measure it.
It is really a tautology that our understanding of the universe is limited by our perceptions of it.
we are limited in our ability to understand
by our ability to understand
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