We propose a possible experimental test of quantum measurement theories by means of a photon interference experiment, focusing on distinction between the many-Hilbert-spaces theory and the environment-induced-superselection-rule theory or the many-worlds interpretation.
We propose the Branched Hilbert Subspace Interpretation (BHSI) as an alternative perspective on quantum measurement. BHSI describes measurement as a unitary branching of the local Hilbert space into decoherent, independent, and unitarily evolving subspaces, while updating observer states (through their equipment) by causally engaging and disengaging operators. Unlike the Copenhagen Interpretation (CI), BHSI avoids wave function collapse while maintaining the Born rule through the branch weights associated with the initial system state. Unlike the Many-Worlds Interpretation (MWI), BHSI sidesteps parallel worlds by entangling branches with the local environment within a single world. We compare BHSI features with those of CI, MWI, and Bohmian Mechanics (BM). We investigate its implications for the double-slit experiment, Bell tests, Wigner and his friend, black hole radiation, and the delayed-choice quantum eraser. We examine quantum teleportation, demonstrating that locally controlled decoherence and recoherence processes (CDRP) can be observed. Specifically, we suggest experiments using modern Stern-Gerlach interferometers (SGI) to visualize the CDRP, measure branch weights that encode the Born rule, and predict the electromagnetic (EM) phase shift resulting from the independent unitary evolution of decoherent branches. BHSI thus provides a minimalist alternative to interpretations based on collapse or many-worlds.
With the exception of superselection rules, there are no known explicit violations of the Principle of quantum Superposition. However, quantum measurement and the emergence of classicality seem to imply that the Principle of Superposition is not universal, so perhaps new superselection rules or something similar wait to be found. This invites us to search for explicit violations of superposition, even in places where we expect it to hold. Given that many quantum measurement devices rely on atoms absorbing photons, these processes are natural places for a first search for such violations. We propose experiments designed to test whether the emission and absorption of photons by atoms may suppress the interference in certain conditions. If the atom is found, in certain situations, to absorb completely the photon, this would mean that in those situations the atom cannot exist or at least it cannot be stable as a superposition of states in which it absorbed the photon and it did not absorb it. Then we will have a new possibility to resolve the problem of measurement, and that of the emergence of classicality. A negative result would mean an additional confirmation of the Principle of Superposition in these particular cases.
The interpretation of measurements in quantum mechanics has been disputed for over a century. The scope of this study is to find an experimental test of Everett’s many-worlds interpretation that could potentially verify the existence of a multiverse. Our proposal is based on a quantum field theory formulation of the many-worlds interpretation through the path integral formalism and a careful choice of the vacuum state. By generalizing the earlier quantum suicide thought experiment to quantum field theory, we find that the many-worlds interpretation implies a measurable change in the lifetime of elementary particles.