{"id":"https://openalex.org/W7214128606","doi":"https://doi.org/10.48550/arxiv.2609.26475","title":"Stochastic motion of massless particles near event horizons in Schwarzschild and Reissner-Nordstr\u00f6m spacetimes","display_name":"Stochastic motion of massless particles near event horizons in Schwarzschild and Reissner-Nordstr\u00f6m spacetimes","publication_year":2026,"publication_date":"2026-09-22","ids":{"openalex":"https://openalex.org/W7214128606","doi":"https://doi.org/10.48550/arxiv.2609.26475"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.26475","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26475","pdf_url":"https://arxiv.org/pdf/2609.26475","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.26475","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152559728","display_name":"Yinhan Huang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Yinhan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5152507072","display_name":"Lezhen Miao","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miao, Lezhen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5152562501","display_name":"Xiao Zhang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Xiao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.0027000000700354576,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.0020000000949949026,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/massless-particles","display_name":"massless particles","score":0.9290000200271606},{"id":"https://openalex.org/keywords/event-horizon","display_name":"event horizon","score":0.8510000109672546},{"id":"https://openalex.org/keywords/schwarzschild-metric","display_name":"Schwarzschild metric","score":0.9049999713897705},{"id":"https://openalex.org/keywords/reissner-nordstrom-spacetime","display_name":"Reissner-Nordstr\u00f6m spacetime","score":0.9980000257492065},{"id":"https://openalex.org/keywords/black-holes","display_name":"black holes","score":0.7129999995231628},{"id":"https://openalex.org/keywords/radial-motion","display_name":"radial motion","score":0.5509999990463257}],"concepts":[{"id":"https://openalex.org/C54937798","wikidata":"https://www.wikidata.org/wiki/Q2024141","display_name":"Massless particle","level":2,"score":0.9193000197410583},{"id":"https://openalex.org/C115304011","wikidata":"https://www.wikidata.org/wiki/Q72755","display_name":"Schwarzschild radius","level":3,"score":0.7404000163078308},{"id":"https://openalex.org/C148292158","wikidata":"https://www.wikidata.org/wiki/Q181741","display_name":"Event horizon","level":3,"score":0.7369999885559082},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7218999862670898},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7034000158309937},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.6438000202178955},{"id":"https://openalex.org/C175757954","wikidata":"https://www.wikidata.org/wiki/Q2361910","display_name":"Photon sphere","level":5,"score":0.5916000008583069},{"id":"https://openalex.org/C136125196","wikidata":"https://www.wikidata.org/wiki/Q742969","display_name":"Schwarzschild metric","level":3,"score":0.5814999938011169},{"id":"https://openalex.org/C2780397496","wikidata":"https://www.wikidata.org/wiki/Q2923525","display_name":"Massive particle","level":3,"score":0.5758000016212463},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.5052000284194946},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4731000065803528},{"id":"https://openalex.org/C50341732","wikidata":"https://www.wikidata.org/wiki/Q880302","display_name":"Black hole (networking)","level":5,"score":0.4702000021934509},{"id":"https://openalex.org/C32127712","wikidata":"https://www.wikidata.org/wiki/Q3366867","display_name":"Test particle","level":2,"score":0.43790000677108765},{"id":"https://openalex.org/C162241779","wikidata":"https://www.wikidata.org/wiki/Q1056595","display_name":"Proper time","level":2,"score":0.42980000376701355},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.41119998693466187},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.3950999975204468},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3544999957084656},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.34610000252723694},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.33959999680519104},{"id":"https://openalex.org/C144951741","wikidata":"https://www.wikidata.org/wiki/Q131468","display_name":"White hole","level":3,"score":0.3346000015735626},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.32670000195503235},{"id":"https://openalex.org/C114693822","wikidata":"https://www.wikidata.org/wiki/Q11757549","display_name":"Schwarzschild geodesics","level":5,"score":0.3165000081062317},{"id":"https://openalex.org/C48286519","wikidata":"https://www.wikidata.org/wiki/Q461255","display_name":"Deriving the Schwarzschild solution","level":5,"score":0.30230000615119934},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.2694999873638153},{"id":"https://openalex.org/C95086748","wikidata":"https://www.wikidata.org/wiki/Q1068747","display_name":"Kerr metric","level":4,"score":0.2694000005722046},{"id":"https://openalex.org/C77265313","wikidata":"https://www.wikidata.org/wiki/Q879844","display_name":"Rest (music)","level":2,"score":0.2687999904155731},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26660001277923584},{"id":"https://openalex.org/C63493438","wikidata":"https://www.wikidata.org/wiki/Q5533988","display_name":"Geodesics in general relativity","level":3,"score":0.2619999945163727},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.2567000091075897}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.26475","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26475","pdf_url":"https://arxiv.org/pdf/2609.26475","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.26475","doi":"https://doi.org/10.48550/arxiv.2609.26475","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.26475","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.26475","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26475","pdf_url":"https://arxiv.org/pdf/2609.26475","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320314331","display_name":"Centre de Recherches Math\u00e9matiques","ror":"https://ror.org/03czdsq06"},{"id":"https://openalex.org/F4320327522","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214128606.pdf","grobid_xml":"https://content.openalex.org/works/W7214128606.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3157100764","https://openalex.org/W4410247253","https://openalex.org/W2910366493","https://openalex.org/W7161630331","https://openalex.org/W7056547696","https://openalex.org/W3035947762","https://openalex.org/W4319662949","https://openalex.org/W3184785908","https://openalex.org/W3152965642","https://openalex.org/W1503830310"],"abstract_inverted_index":{"In":[0,30],"classical":[1,92],"general":[2],"relativity,":[3],"it":[4],"is":[5],"well":[6],"known":[7],"that":[8,61,64],"radially":[9,66],"moving":[10,67],"massless":[11,52,68],"particles":[12,53],"in":[13,26,54,74],"the":[14,23,47,62,71,82],"exterior":[15],"region":[16],"take":[17],"infinite":[18],"coordinate":[19,76],"time":[20,77],"to":[21,45],"reach":[22],"event":[24],"horizon":[25],"black":[27,72,93],"hole":[28,73],"spacetimes.":[29,58],"this":[31],"short":[32],"paper,":[33],"we":[34],"use":[35],"two":[36],"stochastic":[37,48,83],"versions":[38],"of":[39,51,85,91],"ingoing":[40],"radial":[41,49],"null":[42],"geodesic":[43],"equation":[44],"study":[46],"motion":[50],"Schwarzschild":[55],"and":[56],"Reissner-Nordstr\u00f6m":[57],"We":[59],"show":[60],"probability":[63],"a":[65],"particle":[69],"enters":[70],"finite":[75],"remains":[78],"zero.":[79],"This":[80],"indicates":[81],"perturbations":[84],"quantum":[86],"effects":[87],"preserve":[88],"certain":[89],"properties":[90],"holes.":[94]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-24T00:00:00"}
