Numerical simulation of non-unitary gravity-induced localization

Filippo, Sergio De; Maimone, Filippo; Robustelli, Antonio

doi:10.1016/s0378-4371(03)00616-2

Cited by 14 publications

(29 citation statements)

References 20 publications

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“…The aim of this section is to briefly recall the key features of the NNG model. On the basis of a number of considerations (among which, the consistency with the basic formal relations of QM, energy conservation, classical and quantum behavior of matter, suggestion that non-unitary terms could have a gravitational origin), it is possible to isolate a two-parameter class of non-unitary gravity models, as discussed in detail in [8,13,32,33]. We will comment later in the section on these parameters.…”

Section: A Brief Survey On Nonunitary Newtonian Gravitymentioning

confidence: 99%

A two-particle simulation of nonunitary Newtonian gravity

2018

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The result of a numerical simulation of two interacting particles in the framework of Nonunitary Newtonian Gravity is presented here. Particles are held close together by a 3d harmonic trap and interact with each other via an 'electrical' delta-like potential and via the ordinary Newtonian term, together with a fluctuational nonunitary counterpart of the latter. Fundamental nonunitarity can be seen as arising from the interaction of the physical degrees of freedom with (gravitational) hidden copies of them. Starting from an energy eigenstate within the ordinary setting, it is shown that, while energy expectation remains constant, a slow net variation of the von Neumann entropy for the system as a whole takes place, with a small modulation induced on the relative entanglement entropy of the two particles. Besides, the simulation shows explicitly how fundamental gravity-induced entropy can be clearly distinguished from the subjective notion of coarse-grained entropy, i.e. from the entropy of one particle with respect to the 'environment' of the other.

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Section: A Brief Survey On Nonunitary Newtonian Gravitymentioning

confidence: 99%

A two-particle simulation of nonunitary Newtonian gravity

2018

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“…The low-energy limit of this model, a brief account of which is given in the Appendix A, is known as Nonunitary Newtonian Gravity (NNG, from now on), and has been studied in detail, in particular the case N = 2, showing (entropic) dynamical self-localization for masses above the sharp threshold of 10 11 proton masses, with precise signatures susceptible to future experimental tests [13,14,15,16]. Recently it has been explicitly shown to be free from causality violation problems [17,18], at variance with semiclassical gravity, namely (in the Newtonian limit) Newton-Schroedinger model.…”

Section: Introductionmentioning

confidence: 99%

Microscopic foundation of the second law of thermodynamics within nonunitary Newtonian gravity

Filippo

Maimone²,

Naddeo

et al. 2019

Int. J. Quantum Inform.

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The quest for a microscopic foundation of thermodynamics is addressed within the Nonunitary Newtonian Gravity model through the study of a specific closed system, namely a three-dimensional harmonic nanocrystal. A numerical calculation of the nanocrystal von Neumann entropy as a function of time is performed, showing a sharp monotonic increase, followed by a stabilization at late times. This behavior is consistent with the emergence of a micro-canonical ensemble within the initial energy levels, signaling, in this way, the establishment of a nonunitary gravity-induced thermal equilibrium.

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“…The model, known as Nonunitary Newtonian Gravity (NNG, from now on), has been studied in some detail, in particular the limit N = 2, showing the interesting property of (entropic) dynamical self-localization for masses above the (sharp) threshold of 10 11 proton masses (m p from now on), with precise signatures susceptible to future experimental tests [18], [19], [20].…”

Section: Introductionmentioning

confidence: 99%

“…By 'superposition of two approximate position eigenstates' we have meant, throughout the text, a superposition of two contiguous clusters of localized states; as a matter of fact, a necessary condition for a complete state reduction within the characteristic time τg is that the superposition is composed by a large number of localized states, of width ∼ (mp/m) 1/2 cm (see[19] for an explicit numerical simulation of this case). Otherwise, a superposition of two really separated localized states would lead to a rapid oscillation of coherences in the basis of positions.…”

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confidence: 99%

A natural cure for causality violations in Newton–Schrödinger equation

Maimone¹,

Scelza²,

Naddeo³

2019

Phys. Scr.

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It is explicitly shown that a one-family parameter model reproducing the nonlinear Newton-Schrödinger equation as the parameter goes to infinity is free from any causality violation problem for any finite value of it. This circumstance arises from the intrinsic mechanism of spontaneous state reduction of the model, absent in the Newton-Schrödinger limit. A specific ideal EPR experiment involving a superposition of two distinct CM's position states of a massive lump is analyzed, showing recovered compatibility with QM. Besides, the new framework suggests a soft version of the Many Worlds Interpretation, in which the typical indiscriminate proliferation of Everett branches, together with the bizarre inter-branches communications made possible by nonlinearity, are strongly suppressed in the macroscopic world by the same mechanism of state reduction.

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Numerical simulation of non-unitary gravity-induced localization

Cited by 14 publications

References 20 publications

A two-particle simulation of nonunitary Newtonian gravity

A two-particle simulation of nonunitary Newtonian gravity

Microscopic foundation of the second law of thermodynamics within nonunitary Newtonian gravity

A natural cure for causality violations in Newton–Schrödinger equation

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