a dilemma when one concedes that information is lost nevertheless, the problem first contemplated by Hawking opened up quantum mechanics to gravity with blackholes as the cases in point
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This means there is no S- matrix for the process of black-hole formation and evaporation.
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https://journals.aps.org/prd/abstract/10.1103/PhysRevD.14.2460
still learning a lot on S-matrix, this, one of those basic exercises involving S-matrix
https://foxtrotpaparomeo.wordpress.com/2022/12/15/15122022-updatesfirst-order-calculations-of-the-probability-amplitude-for-higgs-boson-to-electron-positron-decay/
... and in 2015 the late Prof. Hawking wrote a short paper wherein he tackled a possible resolution to the problem contained in his other paper written in 1976 with regard to information loss that seemed to vionlate unitarity of S-matrix or say, a violation of conservation of information in quantum mechanics
The Information Paradox for Black Holes
https://arxiv.org/abs/1509.01147
of course not! in no way possible that i am diverting my attention from this ongoing self exploration or say, exercise just dabbling a bit in other stuffs not far related and since it's a tthsun day!
https://foxtrotpaparomeo.wordpress.com/2022/12/05/rough-draft05122022static-solutions-to-einsteins-field-equations-in-11-space-time/
just follow up toots for what has been shared last night and here's a short presentation discussing...
A Brief History of Hawking's Information Paradox
https://arxiv.org/abs/2207.08671