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PREreview:Timelike Thin-Shell Evolution in Gravitational Collapse: Geometric and Thermodynamic Perspectives in Classical General Relativity.

This work is motivated by the need to acquire a consistent, singularity free model of gravitational collapse. Success in this endeavour has far reaching consequences including, most notably, a resolution of the ‘information loss paradox’. Allied to this is the preservation of unitary evolution at the quantum level, which would provide firm ground for any future theory of quantum gravity. If published, this would represent a small but important step towards a paradigm shift in the science of gravitational collapse. For these reasons, more work like this entering into the literature, is to be encouraged.

It does however, have one limitation, which is the absence of a derived singularity free solution. The solution offered is certainly valid but it has been inserted by hand. That said, the author demonstrates a good understanding of thermodynamics on a background constituting a Schwarzschild de-Sitter exterior and a de-Sitter interior, as well as the physics of thin-shell boundaries in 3+1 space-time. To strengthen the argument supporting a timelike thin-shell solution, this paper would benefit from the insertion of additional references that derive thin-shell solutions from first principles. As examples, I would recommend including the following:

Gabbanelli L, (2019), “Analysis of some classical and quantum aspects of black holes”, PhD Thesis, University of Barcelona. https://www.academia.edu/63848903

Austin JC, (2021), “A potential barrier halting spherically symmetric relativistic gravitational collapse”, Ch9, Research Trends and Challenges in Physical Science, Vol. 1, Ed. S-H Dong, BP International. doi:10.9734/bpi/rtcps/v1/4203F, https://www.academia.edu/51100542

Austin JC, (2023), A Barrier to the Vaidya Event Horizon, Ch3, Hidden Aspects of Time, Cambridge Scholars Publishing. https://www.academia.edu/45625238 .

The first of these references describe objects that have undergone maximal collapse as ‘graviton condensates’ where maximal graviton packing occurs at the critical radius. The other two derive a timelike thin-shell solution classically by considering the hamiltonian of a test particle in a diagonalised Vaidya metric. It might also be worth mentioning that since the stress parameters remain finite across the shell then, although implied, the shell thickness does not vanish, but may ultimately be reduced to Planck scales.

Just a few other minor points include:

• Propositions (1,2) are followed by sketch proofs. More clearly indicating sources where full proofs are found may be helpful.

• There is a typographical error in the keywords, “imelike thin shell” should read “Timelike thin shell”.

All in all this work should be published somewhere and, to me it only requires a few small changes to render it publishable.

Competing interests

The author declares that they have no competing interests.

Use of Artificial Intelligence (AI)

The author declares that they did not use generative AI to come up with new ideas for their review.