Gravity-induced wavefunction-collapse in a temporally expanding spacetime

Quandt-Wiese, Garrelt

doi:10.48550/arxiv.1701.01765

Cited by 3 publications

(34 citation statements)

References 65 publications

(134 reference statements)

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“…For starting with the Dynamical Spacetime approach, the overview article [1] is recommended. The mathematical model is derived in [2].…”

Section: Dynamical Spacetime Approachmentioning

confidence: 99%

“…In this section, we recapitulate the mathematical model of the Dynamical Spacetime approach, which is derived in [2]. We focus on what is needed for the discussion of the later experiments and limit ourselves to the Newtonian limit.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The so-called reconfiguration equation is a conditional equation that depends on the intensities of the classical scenarios I i and the local competition actions S A Gκν ( t) between them, and whose solutions determine whether intensity changes of the classical scenarios dI i are possible. It is given by the following set of equations (one equation for every state i) [2]:…”

Section: Reconfiguration Equationmentioning

confidence: 99%

“…A basically new perspective for checking a collapse model is provided by the recently published Dynamical Spacetime approach to wavefunction collapse [1,2], which predicts, beside lifetimes of superpositions, new effects in the form of deviations from Born's rule for special regimes. The Dynamical Spacetime approach is as the approaches of Di ósi and Penrose a gravity-based approach, which enhances semiclassical gravity by postulating that the spacetime region on which quantum fields exist and on which the wavefunction's evolution can be regarded is bounded towards the future by a spacelike hypersurface, which is dynamically expanding towards the future.…”

Section: Introductionmentioning

confidence: 99%

“…The Dynamical Spacetime approach is the first collapse model open to deviations from Born's rule, because it does not fear the consequences possibly resulting from superluminal signalling. The explanation of the "spooky action at a distance" by the quasi-abrupt reconfigurations of the wavefunction's evolution does not come in conflict with the principles of relativity [1,2].…”

Section: Introductionmentioning

confidence: 99%

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Experimental proposal for the Dynamical Spacetime approach to wavefunction collapse

Quandt-Wiese

2017

Preprint

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An experiment for checking the Dynamical Spacetime approach to wavefunction collapse is proposed. The Dynamical Spacetime approach predicts deviations from Born's rule, when a solid evolves into a three-state superposition, and when the displacement between the superposed states is, at the reduction point in time, significantly larger than the spatial variation of the solids nuclei, being typically on the order of a tenth of an Ångstr öm. The solid is brought into the three-state superposition by splitting a photon into three beams and by detecting it in each beam by avalanche photodiodes, which displace the solid at different distances with the help of a piezoactuator. The challenge of the experiment is the precise prediction of the setup's reduction point in time to ensure a sufficient separation between the states at this point in time. This is addressed by avoiding interactions of the setup with the environment during superposition, and by a precise calculation of the setup's reduction point in time with the help of a formulary for the Di ósi-Penrose criterion for solids in quantum superpositions. Since the measurement of reduction probabilities is not disturbed by state decoherence, the experiment can be performed at room temperature. The quantitative analysis demonstrates that the predicted increase of the reduction probability of one state by a factor of 1.5 with respect to Born's rule can be measured by a few hundred statistically significant measurements.

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“…For starting with the Dynamical Spacetime approach, the overview article [1] is recommended. The mathematical model is derived in [2].…”

Section: Dynamical Spacetime Approachmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Reconfiguration Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental proposal for the Dynamical Spacetime approach to wavefunction collapse

Quandt-Wiese

2017

Preprint

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Towards a theory of wavefunction collapse Part 1: How the Diosi-Penrose criterion and Born's rule can be derived from semiclassical gravity, and how the criterion can be relativistically generalised with help of the Einstein-Hilbert action

Quandt-Wiese¹

2017

Preprint

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A new approach to wavefunction collapse is prepared by an analysis of semiclassical gravity. The fact that, in semiclassical gravity, superposed states must share a common classical spacetime geometry, even if they prefer (according to general relativity) differently curved spacetimes, leads to energy increases of the states, when their mass distributions are different. If one interprets these energy increases divided by Planck's constant as decay rates of the states, one obtains the lifetimes of superpositions according to the Di ósi-Penrose criterion and reduction probabilities according to Born's rule. The derivation of Born's rule for two-state superpositions can be adapted to the typical quantum mechanical experiments with the help of a common property of these experiments. It is that they lead to never more than two different mass distributions at one location referring e.g. to the cases that a particle "is", or "is not", detected at the location. From the characteristic energy of the Di ósi-Penrose criterion, an action is constructed whose relativistic generalisation becomes obvious by a decomposition of the Einstein-Hilbert action to the superposed states. In Part 2, semiclassical gravity is enhanced to the so-called Dynamical Spacetime approach to wavefunction collapse, which leads to a physical mechanism for collapse.

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Diosi-Penrose criterion for solids in quantum superpositions and a single-photon detector

Quandt-Wiese¹

2017

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A formulary for the application of the Di ósi-Penrose criterion to solids in quantum superpositions is developed, which takes the solid's microscopic mass distribution (resulting from its nuclei) and its macroscopic shape into account, where the solid's states can differ by slightly different positions or extensions of the solid. For small displacements, smaller than the spatial variation of the solid's nuclei, the characteristic energy of the Di ósi-Penrose criterion is mainly determined by the mass distribution of the nuclei. For large displacements, much larger than the solid's lattice constant, the solid can be idealised as a continuum, and the characteristic energy depends on the solid's shape and the direction of the displacement. In Di ósi's approach, in which the mass density operator has to be smeared, the solid's microscopic mass distribution plays no role. The results are applied to a special single-photon avalanche photodiode detector, which interacts as little as possible with its environment. This is realised by disconnecting the detector from the measurement devices when it is in a superposition, and by biasing the photodiode by a plate capacitor, which is charged shortly before the photon's arrival. For a suitable choice of components, the detector can stay in a superposition for seconds; its lifetime can be shortened to microseconds with the help of a piezoactuator, which displaces a mass in the case of photon detection.1 My official last name is Wiese. For non-official concerns, my wife and I use our common family name: Quandt-Wiese.

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Gravity-induced wavefunction-collapse in a temporally expanding spacetime

Cited by 3 publications

References 65 publications

Experimental proposal for the Dynamical Spacetime approach to wavefunction collapse

Experimental proposal for the Dynamical Spacetime approach to wavefunction collapse

Towards a theory of wavefunction collapse Part 1: How the Diosi-Penrose criterion and Born's rule can be derived from semiclassical gravity, and how the criterion can be relativistically generalised with help of the Einstein-Hilbert action

Diosi-Penrose criterion for solids in quantum superpositions and a single-photon detector

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