What distinguishes cosmological expansion from the Doppler effect?

Answer

The Doppler effect involves local motion through space while expansion involves the growth of space itself

The Doppler effect occurs when an object, like an ambulance or a nearby star, moves relative to an observer through existing space, causing waves to compress or stretch. In contrast, cosmological expansion occurs when the universe itself grows, increasing the distance between objects. In the latter, the object is not necessarily moving through space; rather, the space carrying the light waves is physically expanding, forcing the light to stretch during its transit.

What distinguishes cosmological expansion from the Doppler effect?
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