Motivation
I am pretty confused of why people are hopeful to find a version of the equivalence principle ("the complete physical equivalence of a gravitational field and a corresponding acceleration of the reference system") within QFT. I personally am of the position QM and the equivalence principle are compatible under proper formulation (and I am aware that this is controversial grounds).
Question
Within Special Relativity the definition of acceleration is limiting (to say the least). In light of this I was curious if there existed a version of the equivalence principle within Special Relativity? Personally if someone asked me this I would have just used GR and tried to find this approximation but please do not post this answer (see motivation).
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