What does it take to solve the measurement problem?

Hance, Jonte R.; Hossenfelder, Sabine

doi:10.48550/arxiv.2206.10445

Cited by 2 publications

(2 citation statements)

References 48 publications

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“…This is because with large enough p, discretised Hilbert space is fine enough that it replicates to experimental accuracy the probabilistic predictions of a theory based on continuum Hilbert space (and Born's Rule to interpret the squared modulus of a state as a probability-something automatically satisfied in RaQM). Conversely, however, if p is some finite albeit large number, then in principle an experiment with free parameter p exp can study situations where p exp > p where there might be some departure between reality and QM [47].…”

Section: Experimental Testsmentioning

confidence: 99%

Superdeterminism without Conspiracy

Palmer

2024

Universe

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Superdeterminism—where the Measurement Independence assumption in Bell’s Theorem is violated—is frequently assumed to imply implausibly conspiratorial correlations between properties λ of particles being measured and measurement settings x and y. But it does not have to be so: a superdeterministic but non-conspiratorial locally causal model is developed where each pair of entangled particles has unique λ. The model is based on a specific but arbitrarily fine discretisation of complex Hilbert space, where λ defines the information, over and above the freely chosen nominal settings x and y, which fixes the exact measurement settings X and Y of a run of a Bell experiment. Pearlean interventions, needed to assess whether x and y are Bell-type free variables, are shown to be inconsistent with rational-number constraints on the discretised Hilbert states. These constraints limit the post-hoc freedom to vary x keeping λ and y fixed but disappear with any coarse-graining of λ, X, and Y, rendering so-called drug-trial conspiracies irrelevant. Points in the discretised space can be realised as ensembles of symbolically labelled deterministic trajectories on an ‘all-at-once’ fractal attractor. It is shown how quantum mechanics might be ‘gloriously explained and derived’ as the singular continuum limit of the discretisation of Hilbert space. It is argued that the real message behind Bell’s Theorem has less to do with locality, realism, or freedom to choose, and more to do with the need to develop more explicitly holistic theories when attempting to synthesise quantum and gravitational physics.

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Section: Experimental Testsmentioning

confidence: 99%

Superdeterminism without Conspiracy

Palmer

2024

Universe

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“…This question is intimately linked to the so-called "measurement problem" in quantum physics, or more frequently referred to as the quantum-to-classical transition, see e.g. [22][23][24][25][26][27][28][29][30][31]. Although we think that quantum theories give a more fundamental description of nature than classical theories, and therefore in reality such a transition would never occur, we want to find a mechanism that allows us to better understand how it is that under certain circumstances the classical description is an excellent approximation for our purposes.…”

Section: Introductionmentioning

confidence: 99%

Emergent universe: tensor perturbations within the CSL framework

et al. 2022

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We calculate the primordial power spectrum of tensor perturbations, within the emergent universe scenario, incorporating a version of the Continuous Spontaneous Localization (CSL) model as a mechanism capable of: breaking the initial symmetries of the system, generating the perturbations, and also achieving the quantum-to-classical transition of such perturbations. We analyze how the CSL model modifies the characteristics of the B-mode CMB polarization power spectrum, and we explore their differences with current predictions from the standard concordance cosmological model. We have found that, regardless of the CSL mechanism, a confirmed detection of primordial B-modes that fits to a high degree of precision the shape of the spectrum predicted from the concordance $$\Lambda $$ Λ CDM model, would rule out one of the distinguishing features of the emergent universe. Namely, achieving a best fit to the data consistent with the suppression observed in the low multipoles of the angular power spectrum of the temperature anisotropy of the CMB. On the contrary, a confirmed detection that accurately exhibits a suppression of the low multipoles in the B-modes, would be a new feature that could be considered as a favorable evidence for the emergent scenario. In addition, we have been able to establish an upper bound on the collapse parameter of the specific CSL model used.

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What does it take to solve the measurement problem?

Cited by 2 publications

References 48 publications

Superdeterminism without Conspiracy

Superdeterminism without Conspiracy

Emergent universe: tensor perturbations within the CSL framework

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