Program for the Special State Theory of Quantum Measurement

Schulman, L. S.

doi:10.3390/e19070343

“…Some interpretations already do this, by admitting only a subset of state vectors from the Hilbert space as representing physical states. These include proposals made by Schulman [25][26][27], 't Hooft [28], and Stoica [29][30][31], with the purpose of having unitary symmetry without collapse and without branching into more worlds. An apparently unrelated result shows that most state vectors in the Hilbert space lead to states in which the records incorrectly represent the past history of the system [32].…”

Section: Consequences For the Foundations Of Quantum Mechanicsmentioning

confidence: 99%

No-go results on emergent space and other structures

Stoica

¹

2023

J. Phys.: Conf. Ser.

0

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It is often claimed that, from the abstract quantum state vector and Hamiltonian, everything emerges uniquely (for example the 3D-space, a preferred factorization of the Hilbert space, and a preferred basis). This thesis, called Hilbert-Space Fundamentalism (HSF), is assumed for example in Carroll and Singh’s “Mad-dog Everettianism”, some proposals based on decoherence, proposals that aim to describe everything by the quantum structure alone, and proposals that spacetime emerges from a purely quantum theory of gravity. I show that whenever the 3D-space, a preferred factorization, or any other structure emerges like this, there are infinitely many solutions. This refutes Hilbert-Space Fundamentalism. Implications for various research programs aiming to show that certain structures emerge uniquely, and for various interpretations of Quantum Mechanics, are discussed.

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“…These include spontaneous collapse models, the fifth force from a nearby surface, the self-charge interaction between the two ion wavepackets, and so on. Eventually, one may be able to realize a double SG-splitter with different orientations, as originally attempted by Stern, Segrè and co-workers [108,109], in order to test ideas like the Bohm-Bub non-local hidden variable theory [110][111][112], or ideas on deterministic quantum mechanics (see, e.g., [113]). Since ions may form the basis of extremely accurate clocks, an ion-SG device would enable clock interferometry at a level sensitive to the Earth's gravitational red-shift (see the proof-of-principle experiments with neutral atoms in [20,21]).…”

Section: Sgi With Single Ionsmentioning

confidence: 99%

Stern-Gerlach Interferometry with the Atom Chip

Keil

¹

,

Machluf

²

,

Margalit

³

et al. 2021

Molecular Beams in Physics and Chemistry

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In this invited review in honor of 100 years since the Stern-Gerlach (SG) experiments, we describe a decade of SG interferometry on the atom chip. The SG effect has been a paradigm of quantum mechanics throughout the last century, but there has been surprisingly little evidence that the original scheme, with freely propagating atoms exposed to gradients from macroscopic magnets, is a fully coherent quantum process. Specifically, no full-loop SG interferometer (SGI) has been realized with the scheme as envisioned decades ago. Furthermore, several theoretical studies have explained why it is a formidable challenge. Here we provide a review of our SG experiments over the last decade. We describe several novel configurations such as that giving rise to the first SG spatial interference fringes, and the first full-loop SGI realization. These devices are based on highly accurate magnetic fields, originating from an atom chip, that ensure coherent operation within strict constraints described by previous theoretical analyses. Achieving this high level of control over magnetic gradients is expected to facilitate technological applications such as probing of surfaces and currents, as well as metrology. Fundamental applications include the probing of the foundations of quantum theory, gravity, and the interface of quantum mechanics and gravity. We end with an outlook describing possible future experiments.

show abstract

“…These include spontaneous collapse models, the fifth force from a nearby surface, the self-charge interaction between the two ion wavepackets, and so on. Eventually, one may be able to realize a double SG-splitter with different orientations, as originally attempted by Stern, Segrè and co-workers [106,107], in order to test ideas like the Bohm-Bub non-local hidden variable theory [108][109][110], or ideas on deterministic quantum mechanics (see, e.g., [111]). Since ions may form the basis of extremely accurate clocks, an ion-SG device would enable clock interferometry at a level sensitive to the Earth's gravitational red-shift (see the proof-of-principle experiments with neutral atoms in [20,21]).…”

Section: Outlook a Sgi With Single Ionsmentioning

confidence: 99%

Stern-Gerlach Interferometry with the Atom Chip

Keil,

Machluf,

Margalit

et al. 2020

Preprint

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In this invited review in honor of 100 years since the Stern-Gerlach (SG) experiments, we describe a decade of SG interferometry on the atom chip. The SG effect has been a paradigm of quantum mechanics throughout the last century, but there has been surprisingly little evidence that the original scheme, with freely propagating atoms exposed to gradients from macroscopic magnets, is a fully coherent quantum process. Specifically, no full-loop SG interferometer (SGI) has been realized with the scheme as envisioned decades ago. Furthermore, several theoretical studies have explained why it is a formidable challenge. Here we provide a review of our SG experiments over the last decade. We describe several novel configurations such as that giving rise to the first SG spatial interference fringes, and the first full-loop SGI realization. These devices are based on highly accurate magnetic fields, originating from an atom chip, that ensure coherent operation within strict constraints described by previous theoretical analyses. Achieving this high level of control over magnetic gradients is expected to facilitate technological applications such as probing of surfaces and currents, as well as metrology. Fundamental applications include the probing of the foundations of quantum theory, gravity, and the interface of quantum mechanics and gravity. We end with an outlook describing possible future experiments.

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Program for the Special State Theory of Quantum Measurement

Cited by 7 publications

References 24 publications

No-go results on emergent space and other structures

No-go results on emergent space and other structures

Stern-Gerlach Interferometry with the Atom Chip

Stern-Gerlach Interferometry with the Atom Chip

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