Neutrino Oscillations at JUNO, the Born Rule, and Sorkin's Triple Path Interference

Huber, Patrick; Minakata, Hisakazu; Minic, Djordje; Pestes, Rebekah; Takeuchi, Tatsu

doi:10.48550/arxiv.2105.14061

Cited by 3 publications

(6 citation statements)

References 42 publications

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“…Experimental confirmation of I 3 = 0 would be a confirmation of the Born rule. As discussed in [31] in Refs. [33,34], bounds were placed on the parameter…”

Section: Triple and Higher Order Interferencementioning

confidence: 96%

See 1 more Smart Citation

Triple Interference, Non-linear Talbot Effect and Gravitization of the Quantum

Berglund¹,

Geraci²,

Hübsch³

et al. 2023

Preprint

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Recently we have discussed a new approach to the problem of quantum gravity in which the quantum mechanical structures that are traditionally fixed, such as the Fubini-Study metric in the Hilbert space of states, become dynamical and so implement the idea of gravitizing the quantum. In this paper we elaborate on a specific test of this new approach to quantum gravity using triple interference in a varying gravitational field. Our discussion is driven by a profound analogy with recent triple-path interference experiments performed in the context of non-linear optics. We emphasize that the triple interference experiment in a varying gravitational field would deeply influence the present understanding of the kinematics of quantum gravity and quantum gravity phenomenology. We also discuss the non-linear Talbot effect as another striking phenomenological probe of gravitization of the geometry of quantum theory.

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“…Experimental confirmation of I 3 = 0 would be a confirmation of the Born rule. As discussed in [31] in Refs. [33,34], bounds were placed on the parameter…”

Section: Triple and Higher Order Interferencementioning

confidence: 96%

“…(See also [35,36].) Quite surprisingly [31], the neutrino test of triple-interference based on the forthcoming JUNO experiment gives the same order of precision as the electromagnetic tests.…”

Section: Triple and Higher Order Interferencementioning

confidence: 99%

Triple Interference, Non-linear Talbot Effect and Gravitization of the Quantum

Berglund¹,

Geraci²,

Hübsch³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Experimental confirmation of I 3 = 0 would be a confirmation of the Born rule. As discussed in [14] in Refs. [16,17], bounds were placed on the parameter…”

Section: Essay Written For the Gravity Research Foundationmentioning

confidence: 96%

“…(See also [18,19].) Quite surprisingly [14], the neutrino test of triple-interference based on the forthcoming JUNO experiment gives the same order of precision as the electromagnetic tests.…”

Section: Essay Written For the Gravity Research Foundationmentioning

confidence: 99%

Gravitizing the Quantum

Berglund¹,

Hübsch²,

Mattingly³

et al. 2022

Preprint

Self Cite

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We discuss a new approach to the problem of quantum gravity in which the quantum mechanical structures that are traditionally fixed, such as the Fubini-Study metric in the Hilbert space of states, become dynamical and so implement the idea of gravitizing the quantum. In particular, in this formulation of quantum gravity the quantum geometry is still consistent with the principles of unitarity and also captures fundamental aspects of (quantum) gravity, such as topology change. Furthermore, we address specific ways of testing this new approach to quantum gravity by utilizing multi-path interference and optical lattice atomic clocks.

show abstract

“…Experimental confirmation of I 3 = 0 would be a confirmation of the Born rule. As discussed in [31] in references [33,34], bounds were placed on the parameter…”

Section: Triple and Higher Order Interferencementioning

confidence: 99%

Triple interference, non-linear Talbot effect and gravitization of the quantum

Berglund

Geraci

Hübsch

et al. 2023

Class. Quantum Grav.

View full text Add to dashboard Cite

Recently we have discussed a new approach to the problem of quantum gravity in which the quantum mechanical structures that are traditionally ﬁxed, such as the Fubini-Study metric in the Hilbert space of states, become dynamical and so implement the idea of gravitizing the quantum. In this paper we elaborate on a speciﬁc test of this new approach to quantum gravity using triple interference in a varying gravitational ﬁeld. Our discussion is driven by a profound analogy with recent triple-path interference experiments performed in the context of non-linear optics. We emphasize that the triple interference experiment in a varying gravitational ﬁeld would deeply inﬂuence the present understanding of the kinematics of quantum gravity and quantum gravity phenomenology. We also discuss the non-linear Talbot eﬀect as another striking phenomenological probe of gravitization of the geometry of quantum theory.

show abstract

Neutrino Oscillations at JUNO, the Born Rule, and Sorkin's Triple Path Interference

Cited by 3 publications

References 42 publications

Triple Interference, Non-linear Talbot Effect and Gravitization of the Quantum

Triple Interference, Non-linear Talbot Effect and Gravitization of the Quantum

Gravitizing the Quantum

Triple interference, non-linear Talbot effect and gravitization of the quantum

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