A class of nonunitary models of Newtonian gravity and its unicity

TL;DR

This paper introduces a class of nonunitary, non-Markovian models of Newtonian gravity derived from natural hypotheses, revealing a mass threshold for localization, nonlinearity, and links between thermodynamic and von Neumann entropies.

Contribution

It characterizes a new class of nonunitary gravity models, connecting them to higher derivative gravity and exploring their implications for localization and entropy.

Findings

Mass threshold around 10^{11} proton masses for localization

Breaking of linearity in the models

Potential identification of thermodynamic and von Neumann entropies

Abstract

A class of non-Markoffian nonunitary models for Newtonian gravity is characterized as following from some rather natural hypotheses. One of such models was previously obtained as the Newtonian limit of a classically stable version of higher derivative gravity. They give rise to a mass threshold around $10^{11}$ proton masses for gravity induced localization, to a breaking of linearity and to the possible identification of thermodynamic and von Neumann entropies.