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Classical Fluid Analogies for Schr\"odinger-Newton Systems

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arxiv 2507.08583 v2 pith:MAVS4UKH submitted 2025-07-11 astro-ph.CO gr-qc

Classical Fluid Analogies for Schr\"odinger-Newton Systems

classification astro-ph.CO gr-qc
keywords classicalschrdescribedfluidnumberodinger-newtonsystemsanalogies
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The Schr\"odinger-Poisson formalism has found a number of applications in cosmology, particularly in describing the growth by gravitational instability of large-scale structure in a universe dominated by ultra-light scalar particles. Here we investigate the extent to which the behaviour of this and the more general case of a Schr\"odinger-Newton system, can be described in terms of classical fluid concepts such as viscosity and pressure. We also explore whether such systems can be described by a pseudo-Reynolds number as for classical viscous fluids. The conclusion we reach is that this is indeed possible, but with important restrictions to ensure physical consistency.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A First Post-Friedmann Extension of the Schr\"odinger Approach to Cosmic Structure Formation

    astro-ph.CO 2026-06 unverdicted novelty 6.0

    Derives a 1PF relativistic extension of the Schrödinger approach to cold matter dynamics that requires an effective vector potential for the transverse velocity component in the cosmological frame.

  2. Entanglement generation in a two-body Schr\"odinger--Newton model

    quant-ph 2026-05 unverdicted novelty 6.0

    In the two-body Schrödinger-Newton model the nonlinear self-field leaves the Schmidt spectrum unchanged while the pair potential generates entanglement, with growth amplified by delocalized or asymmetric initial states.