Why do people think acceleration creates particles out of nothing?

Particles out of nothing!?

Can you cook a steak by accelerating it?

The Unruh Effect appears to spontaneously create particles from the quantum vacuum, but only if you're accelerating. To a stationary observer, there are no particles - only vacuum.

If one observer sees particles where another doesn't, do they really exist?

Some physicists suggest particles don't exist objectively; the number of particles in the universe may be differ depending on how you move through spacetime. And many popular presentations of the Unruh Effect make the same point.

So, is the Unruh effect really creating particles out of nothing? Is the notion of a "particle" subjective, i.e. dependent on how an observer is moving through spacetime?

A closer examination suggests that these Unruh particles are not all that they seem...
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