{"oa_version":"Preprint","related_material":{"record":[{"id":"19540","relation":"dissertation_contains","status":"public"}]},"OA_place":"repository","title":"How a space-time singularity helps remove the ultraviolet divergence problem","arxiv":1,"month":"02","status":"public","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2409.00677"}],"corr_author":"1","citation":{"ama":"Henheik SJ, Poudyal B, Tumulka R. How a space-time singularity helps remove the ultraviolet divergence problem. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2409.00677\">10.48550/arXiv.2409.00677</a>","mla":"Henheik, Sven Joscha, et al. “How a Space-Time Singularity Helps Remove the Ultraviolet Divergence Problem.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/arXiv.2409.00677\">10.48550/arXiv.2409.00677</a>.","chicago":"Henheik, Sven Joscha, Bipul Poudyal, and Roderich Tumulka. “How a Space-Time Singularity Helps Remove the Ultraviolet Divergence Problem.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2409.00677\">https://doi.org/10.48550/arXiv.2409.00677</a>.","apa":"Henheik, S. J., Poudyal, B., &#38; Tumulka, R. (n.d.). How a space-time singularity helps remove the ultraviolet divergence problem. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2409.00677\">https://doi.org/10.48550/arXiv.2409.00677</a>","short":"S.J. Henheik, B. Poudyal, R. Tumulka, ArXiv (n.d.).","ista":"Henheik SJ, Poudyal B, Tumulka R. How a space-time singularity helps remove the ultraviolet divergence problem. arXiv, <a href=\"https://doi.org/10.48550/arXiv.2409.00677\">10.48550/arXiv.2409.00677</a>.","ieee":"S. J. Henheik, B. Poudyal, and R. Tumulka, “How a space-time singularity helps remove the ultraviolet divergence problem,” <i>arXiv</i>. ."},"year":"2025","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331"}],"day":"28","oa":1,"language":[{"iso":"eng"}],"publication_status":"draft","external_id":{"arxiv":["2409.00677"]},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","article_processing_charge":"No","abstract":[{"lang":"eng","text":"Particle creation terms in quantum Hamiltonians are usually ultraviolet\r\ndivergent and thus mathematically ill defined. A rather novel way of solving\r\nthis problem is based on imposing so-called interior-boundary conditions on the\r\nwave function. Previous papers showed that this approach works in the\r\nnon-relativistic regime, but particle creation is mostly relevant in the\r\nrelativistic case after all. In flat relativistic space-time (that is,\r\nneglecting gravity), the approach was previously found to work only for certain\r\nsomewhat artificial cases. Here, as a way of taking gravity into account, we\r\nconsider curved space-time, specifically the super-critical\r\nReissner-Nordstr\\\"om space-time, which features a naked timelike singularity.\r\nWe find that the interior-boundary approach works fully in this setting; in\r\nparticular, we prove rigorously the existence of well-defined, self-adjoint\r\nHamiltonians with particle creation at the singularity, based on\r\ninterior-boundary conditions. We also non-rigorously analyze the asymptotic\r\nbehavior of the Bohmian trajectories and construct the corresponding Bohm-Bell\r\nprocess of particle creation, motion, and annihilation. The upshot is that in\r\nquantum physics, a naked space-time singularity need not lead to a breakdown of\r\nphysical laws, but on the contrary allows for boundary conditions governing\r\nwhat comes out of the singularity and thereby removing the ultraviolet\r\ndivergence."}],"department":[{"_id":"LaEr"}],"doi":"10.48550/arXiv.2409.00677","date_published":"2025-02-28T00:00:00Z","date_created":"2025-04-11T12:07:25Z","date_updated":"2025-07-10T11:51:58Z","publication":"arXiv","acknowledgement":"JH gratefully acknowledges partial financial support by the ERC Advanced\r\nGrant “RMTBeyond” No. 101020331.","_id":"19552","type":"preprint","ec_funded":1,"author":[{"orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha","last_name":"Henheik"},{"full_name":"Poudyal, Bipul","last_name":"Poudyal","first_name":"Bipul"},{"last_name":"Tumulka","full_name":"Tumulka, Roderich","first_name":"Roderich"}]}