Microscopic foundation of thermodynamics, transition to classicality and regularization of gravitational-collapse singularities within Non-unitary $4$-th Derivative Gravity classically equivalent to Einstein gravity and its Newtonian limit

TL;DR

This paper reviews De Filippo's non-unitary 4th derivative gravity, highlighting its potential to explain classicality, thermodynamics, and black hole information loss, proposing a finite quantum gravity theory with novel regularization features.

Contribution

It introduces a non-unitary gravity model that addresses classicality, thermodynamics, and black hole information loss, with a potential for renormalizability and finiteness.

Findings

Non-unitarity facilitates transition to classicality and localization.

The theory may be renormalizable and finite due to negative energy fields.

Addresses black hole information loss without modifying Einstein gravity.

Abstract

A detailed and updated review is given of De Filippo's Non-unitary $4$-th Derivative Gravity and its Newtonian limit, by pointing out the crucial role of non-unitarity in addressing transition to classicality and specifically localization of macroscopic bodies, microscopic foundation of the second law of thermodynamics, measurement problem; furthermore it provides a quantum field theory of gravity possibly not only renormalizable but even finite, with a cancelation mechanism analogous to supersymmetric field theories where cancelations are due to superpartners whereas here to negative energy fields. Finally this non-unitary proposal addresses the longstanding black hole information loss problem and this according to an unorthodox view at variance with the mainstream endeavors to save unitarity at the expense of changing General Relativity in vague unspecified ways. Last but not least motivations and conceptual framework are given, as the author could not present them in his first papers written in a hurry since he was aware that in a little time he would be unable to use pc keyboard or to write on paper due to the progressing of motor neuron disease.