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The Relational Interpretation of Quantum Physics (2109.09170v3)

Published 19 Sep 2021 in quant-ph and physics.hist-ph

Abstract: The relational interpretation (or RQM, for Relational Quantum Mechanics) solves the measurement problem by considering an ontology of sparse relative events, or "facts". Facts are realized in interactions between any two physical systems and are relative to these systems. RQM's technical core is the realisation that quantum transition amplitudes determine physical probabilities only when their arguments are facts relative to the same system. The relativity of facts can be neglected in the approximation where decoherence hides interference, thus making facts approximately stable.

Citations (9)

Summary

  • The paper presents the Relational Interpretation, showing that quantum facts arise only through interactions between systems.
  • It demonstrates that quantum transition amplitudes only yield valid probabilities when linked to correlated physical interactions.
  • The framework bridges quantum theory with quantum gravity and challenges classical realism by rejecting fixed ontological states.

Relational Quantum Mechanics: A Closer Examination

The paper authored by Carlo Rovelli presents an exposition of the Relational Interpretation of Quantum Mechanics (RQM), an interpretation that posits a departure from the classical realist perspectives on quantum states. This interpretation hinges on the notion that quantum mechanics should be understood through a framework of relative events that occur during interactions between physical systems, rather than ascribing an ontological reality to the quantum state itself.

Key Tenets of the Relational Interpretation

At the heart of RQM is the idea that facts are realized through physical interactions and are not absolute but relative to the systems involved in those interactions. This standpoint provides a resolution to the long-standing measurement problem in quantum mechanics by rejecting the assumption that the wave function ψ represents an objective physical reality. Instead, it is a tool for calculating probabilities of events based on known interactions.

RQM argues that quantum transition amplitudes, which determine the probabilities of events, are valid only when the involved arguments refer to facts correlated to the same physical system. Consequently, in the absence of such an interaction, quantum states should not be considered representative of any intrinsic property of a system.

Historical Context and Philosophical Implications

The paper traces the roots of the relational interpretation to the foundational debates on quantum mechanics, foregrounding Heisenberg’s early contention against the notion of a wave function representing the actual state of a system. RQM suggests an interpretation of quantum theory as fundamentally concerning the sparse and interaction-dependent events rather than the continuity of a wave function.

From a philosophical standpoint, RQM challenges the strong realist paradigm by insisting on the context-dependent nature of facts. This relational aspect aligns with various interpretations that endorse a more epistemological or informational perspective. Yet, RQM maintains a unique stance by discarding absolute entities like hidden variables or multiple universes, while still offering a coherent realist interpretation contingent upon interactional relativity.

Technical Implications and Comparisons

Rovelli’s discussion on decoherence offers insights into why some quantum facts appear stable and why macroscopic observations can be safely treated as fact within quantum theory. However, RQM stipulates that such stability is relative and arises from the interactions delineated by the systems involved, therefore challenging the classical boundary between micro and macro realms.

In terms of applicability, RQM offers a framework that is well-suited to quantum gravity, as it does not depend on predefined spatio-temporal frameworks, thus harmonising well with the principles of general relativity. Such compatibility may become increasingly important as physicists work toward a unifying theory that seamlessly integrates quantum mechanics with gravitational theory.

RQM also distinguishes itself by navigating between the realist interpretations like Many-Worlds, which proliferate reality into many branches, and purely instrumentalist approaches that render quantum mechanics merely a human-centric framework.

Future Directions and Impact

The Relational Quantum Mechanics framework opens a spectrum of philosophical discourse, pushing for a reevaluation of entrenched positions on realism and the nature of existence. Its emphasis on contextuality may continue to propel advancements in quantum information theory and shed light on non-classical phenomena such as quantum entanglement and non-locality, potentially leading to novel theoretical as well as experimental inquiries. The approach of considering relative facts might also yield refined techniques for dealing with systems in decoherence-limited environments and support the development of quantum technologies that leverage relational properties for new computational paradigms.

Rovelli’s presentation of RQM in this paper thus serves not only as a theoretical re-evaluation of quantum ontology but as a potential pathway to novel interpretations and applications both within quantum theory and in broader scientific inquiry.

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