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> I have borrowed some "wisdom" in how particles interact. They exchange particles back and forth

If particles interact by exchanging particles, how do they interact with the particles they exchange?

I'm not sure I understand this question. If I hand someone a book, we're both interacting with the book as well as each other, so why wouldn't this also hold true for particles?

Is it particle turtles all the way down?

I don't see why the answer to that question affects whether particles can interact by exchanging particles with each other. To be clear, I'm not taking a stance on whether that's an accurate description of how particles work, but I don't think that it's somehow logically incoherent.

The point wasn't that particles can interact that way, but that that is how they interact. But that requires infinite regression. (That needn't necessarily be a problem, but it does need a justification.)

We already have mathematical metaphors of such infinity compressed in finite regions. E.g. statistical self-similarity of mandelbrot fractal.

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