Determine the fate of the Unrestricted Iteration Principle in perspectivist RQM

Ascertain whether perspectivist versions of Relational Quantum Mechanics should accept the Unrestricted Iteration Principle (UIP), under which relativity iterates without end, or instead reject UIP and develop a coherent restriction that preserves epistemic accessibility and cross-perspective consistency of interaction outcomes.

Background

UIP plays a central role in classical RQM by supporting communicability and avoiding cross-perspective incoherences. Yet combining UIP with relationalism yields untenable consequences, motivating a move to perspectivism. Within perspectivist RQM, the status of UIP remains unsettled: rejecting it requires a workable restriction; embracing it implies an infinite regress of perspective-dependencies that some regard as problematic.

The author explicitly identifies the fate of UIP in perspectivist RQM as an open question that must be addressed to assess the interpretation’s theoretical costs and coherence.

References

Among the open questions that I have argued need addressing are the type of perspectivism at issue as well as the fate of the iteration principle.

Relational Quantum Mechanics, Quantum Relativism, and the Iteration of Relativity  (2403.04069 - Riedel, 2024) in Section 4 (Conclusions)