Quantum superpositions of Minkowski spacetime

Foo, Joshua; Senem, Arabaci, Cemile; Zych, Magdalena; Mann, Robert B.

doi:10.1103/physrevd.107.045014

Cited by 11 publications

(2 citation statements)

References 47 publications

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“…Targeting applications in the formalization of physical theories in Minkowski spacetime, the authors of Cocco and Babic (2021) [3] developed an elementary system of axioms for the geometry of Minkowski spacetime. In Foo et al (2023) [4], the authors studied the quantum-gravitational effects generated by superpositions of periodically identified Minkowski spacetime. The authors of that work demonstrated that it is possible in principle to measure the field-theoretic effects generated by the coupling of a relativistic quantum matter to fields on such a spacetime background.…”

Section: Introductionmentioning

confidence: 99%

Relativistic Formulation in Dual Minkowski Spacetime

Ganesan

2024

Symmetry

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The objective of this work is to derive the structure of Minkowski spacetime using a Hermitian spin basis. This Hermitian spin basis is analogous to the Pauli spin basis. The derived Minkowski metric is then employed to obtain the corresponding Lorentz factors, potential Lie algebra, effects on gamma matrices and complex representations of relativistic time dilation and length contraction. The main results, a discussion of the potential applications and future research directions are provided.

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Section: Introductionmentioning

confidence: 99%

Relativistic Formulation in Dual Minkowski Spacetime

Ganesan

2024

Symmetry

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“…The idea is not to give a full description of quantum gravitational effects, but to establish the necessity or not to quantize the field and, at the same time, to provide some experimental guidance for the theoretical construction of the theory. Among these developments we can mention investigations regarding the possibility of gravitationally mediated entanglement [1][2][3][4][5], the consequences of the superposition of spacetimes [6][7][8] and the study of indefinite causal order in the gravitational scenario [9,10], just to mention a few. We point the reader to [11] for more references.…”

Section: Introductionmentioning

confidence: 99%

Decoherence of a composite particle induced by a weak quantized gravitational field

Moreira,

Céleri

2023

Class. Quantum Grav.

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Even though we have some proposals for the quantum theory of gravity like string theory or loop quantum gravity, we do not have any experimental evidence supporting any of these theories. Actually, we do not have empirical evidence pointing in the direction that we really need a quantum description of the gravitational field. In this scenario, several proposals for experimentally investigating quantum gravitational effects far from the Planck scale have recently appeared in literature, like gravitationally induced entanglement, for instance. An important issue of these approaches is the decoherence introduced by the quantum nature not only of the system under consideration but also from the gravitational field itself. Here, by means of the Feynman–Vernon influence functional, we study the decoherence of a quantum system induced by the quantized gravitational field—in the linearized gravity regime—and also by its own quantum nature. Our results may be significant in better understanding many phenomena like the decoherence induced by the gravitational time-dilation, the quantum reference frames, and the quantum equivalence principle.

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Gravity and the Superposition Principle

Culetu

2023

Int J Theor Phys

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The relation between gravity and quantum mechanics is investigated in this work. The link is given by the wave packet expansion process, rooted from the Uncertainty Principle. The basic idea is to express the de Broglie wavelength used by Schrodinger for a massive particle in terms of the associated Compton wavelength which is replaced by the Michell-Laplace radius Gm/c 2 of the spherical object of mass m ≥ mP , where mP is the Planck mass.The wave packet spreading is studying in spherical coordinates, having the width σ(t), expressed in terms of G and c instead of . Therefore, for masses larger than the Planck mass, a faster dispersion rate of σ(t) is obtained, compared to the standard case. The dispersion of the wave packet is observed only by a free falling observer and the process breaks down once the observer hits the surface of the object. Different freely falling observers notice different rates of expansion of the wave packet and the source of gravity is in a quantum superposition. We further confront the Mita formula for the mean energy of the wave packet with the de Broglie-Bohm quantum potential energy when the Schrodinger equation is expressed in the Madelung form.

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Quantum superpositions of Minkowski spacetime

Cited by 11 publications

References 47 publications

Relativistic Formulation in Dual Minkowski Spacetime

Relativistic Formulation in Dual Minkowski Spacetime

Decoherence of a composite particle induced by a weak quantized gravitational field

Gravity and the Superposition Principle

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