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Nonrelativistic field theoretic setting for gravitational self-interactions

2001/05/07 by Sergio De Filippo, De Filippo, Sergio
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Statistical Mechanics and Entropy #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0105021

The statement about the finite character of the ensuing field theory is more transparent

openalex publication_date 2001/05/07 · arxiv created 2001/07/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that a recently proposed model for the gravitational interaction in non relativistic quantum mechanics is the instantaneous action at a distance limit of a field theoretic model containing a negative energy field. It reduces to the Schroedinger-Newton theory in a suitable mean field approximation. While both the exact model and its approximation lead to estimates for localization lengths, only the former gives rise to an explicit non unitary dynamics accounting for the emergence of the classical behavior of macroscopic bodies.

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