{"id":"https://openalex.org/W7223248170","doi":"https://doi.org/10.48550/arxiv.2610.28652","title":"Near-Horizon Scalar-Wave Sampling: Rindler Bounds and Schwarzschild Comparison","display_name":"Near-Horizon Scalar-Wave Sampling: Rindler Bounds and Schwarzschild Comparison","publication_year":2026,"publication_date":"2026-10-08","ids":{"openalex":"https://openalex.org/W7223248170","doi":"https://doi.org/10.48550/arxiv.2610.28652"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.28652","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28652","pdf_url":"https://arxiv.org/pdf/2610.28652","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/2610.28652","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120040696","display_name":"Anik Chakraborty","orcid":"https://orcid.org/0009-0002-9930-396X","observed_orcids":["https://orcid.org/0009-0002-9930-396X"]},"institutions":[{"id":"https://openalex.org/I110166357","display_name":"University of Delhi","ror":"https://ror.org/04gzb2213","country_code":"IN","type":"education","lineage":["https://openalex.org/I110166357"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Chakraborty, Anik","raw_affiliation_strings":["Department of Mathematics , University of Delhi , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , University of Delhi , India","institution_ids":["https://openalex.org/I110166357"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5120040696"],"corresponding_institution_ids":["https://openalex.org/I110166357"],"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":0.7656000256538391,"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":0.7656000256538391,"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":0.04129999876022339,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.03959999978542328,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/scalar-waves","display_name":"scalar waves","score":0.7730000019073486},{"id":"https://openalex.org/keywords/rindler-metric","display_name":"Rindler metric","score":0.8600000143051147},{"id":"https://openalex.org/keywords/schwarzschild-black-hole","display_name":"Schwarzschild black hole","score":0.9449999928474426},{"id":"https://openalex.org/keywords/klein-gordon-equation","display_name":"Klein-Gordon equation","score":0.9440000057220459},{"id":"https://openalex.org/keywords/fusion-frames","display_name":"fusion frames","score":0.7200000286102295},{"id":"https://openalex.org/keywords/event-horizon","display_name":"event horizon","score":0.41600000858306885}],"concepts":[{"id":"https://openalex.org/C115304011","wikidata":"https://www.wikidata.org/wiki/Q72755","display_name":"Schwarzschild radius","level":3,"score":0.7221999764442444},{"id":"https://openalex.org/C88018779","wikidata":"https://www.wikidata.org/wiki/Q1568269","display_name":"Unruh effect","level":3,"score":0.49970000982284546},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.47589999437332153},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.43950000405311584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43779999017715454},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.42879998683929443},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.3978999853134155},{"id":"https://openalex.org/C136125196","wikidata":"https://www.wikidata.org/wiki/Q742969","display_name":"Schwarzschild metric","level":3,"score":0.3846000134944916},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.37540000677108765},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.3652999997138977},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3296000063419342},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31040000915527344},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3098999857902527},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.30820000171661377},{"id":"https://openalex.org/C54937798","wikidata":"https://www.wikidata.org/wiki/Q2024141","display_name":"Massless particle","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C48286519","wikidata":"https://www.wikidata.org/wiki/Q461255","display_name":"Deriving the Schwarzschild solution","level":5,"score":0.28859999775886536},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.28349998593330383},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2700999975204468},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.26669999957084656},{"id":"https://openalex.org/C172849965","wikidata":"https://www.wikidata.org/wiki/Q3148875","display_name":"Reference frame","level":3,"score":0.26260000467300415}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.28652","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28652","pdf_url":"https://arxiv.org/pdf/2610.28652","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.2610.28652","doi":"https://doi.org/10.48550/arxiv.2610.28652","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.28652","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.28652","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.28652","pdf_url":"https://arxiv.org/pdf/2610.28652","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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223248170.pdf","grobid_xml":"https://content.openalex.org/works/W7223248170.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1856929377","https://openalex.org/W1998097941","https://openalex.org/W2031521898","https://openalex.org/W2044545050","https://openalex.org/W2079890182","https://openalex.org/W2122555130","https://openalex.org/W2135804058","https://openalex.org/W2150477501","https://openalex.org/W2343907033","https://openalex.org/W2605786569","https://openalex.org/W2797985990","https://openalex.org/W2963218230","https://openalex.org/W2963549669","https://openalex.org/W3009213179","https://openalex.org/W3037747242"],"related_works":["https://openalex.org/W4292945971","https://openalex.org/W7166504494","https://openalex.org/W2200779991","https://openalex.org/W3207006842","https://openalex.org/W2198803947","https://openalex.org/W1710122942","https://openalex.org/W2044545050","https://openalex.org/W7221072104","https://openalex.org/W6922405805","https://openalex.org/W2051672519"],"abstract_inverted_index":{"We":[0],"study":[1],"classical":[2,193],"reconstruction":[3,103],"of":[4,42,47,151],"an":[5,38,149],"outgoing":[6,135],"scalar-wave":[7,122],"component":[8],"from":[9,13],"radial-shell":[10],"observations.":[11],"Starting":[12],"the":[14,28,54,65,88,121,158,183],"noncompact-time":[15],"Rindler":[16,66,127,163],"metric,":[17],"we":[18,91,119],"construct":[19],"Klein--Gordon":[20],"evolution":[21],"by":[22],"closed":[23],"quadratic":[24],"forms":[25],"and":[26,50,61,96,109,116,195],"reduce":[27],"massless":[29],"characteristic":[30],"dynamics":[31],"to":[32,166],"translation":[33],"in":[34],"optical":[35,40,153,184],"distance.":[36],"For":[37,112],"initial":[39,89],"interval":[41],"length":[43],"$L$,":[44],"a":[45,78,139],"shell":[46,75],"width":[48],"$d$,":[49],"recording":[51],"time":[52],"$T$,":[53],"optimal":[55,93],"squared":[56],"observability":[57],"bounds":[58,95,164],"are":[59],"$A(T,L)=\\min\\{d,(T-L)_+\\}$":[60],"$B(T,L)=\\min\\{d,T\\}$.":[62],"At":[63],"$T=L$,":[64],"observation":[67,123,194],"map":[68],"is":[69,145,155,178],"injective":[70],"with":[71,125],"nonclosed":[72],"range.":[73],"Discrete":[74],"observations":[76],"form":[77],"spatial":[79],"fusion":[80],"frame":[81],"precisely":[82],"when":[83],"their":[84],"transported":[85],"regions":[86],"cover":[87],"interval;":[90],"compute":[92],"uniform-grid":[94],"characterize":[97],"robustness":[98],"under":[99],"profile":[100],"erasures.":[101],"Finite-resolution":[102],"separates":[104],"localization":[105],"error,":[106],"approximation":[107],"error":[108,144],"noise":[110],"amplification.":[111],"fixed":[113,152],"Schwarzschild":[114,167,175],"mass":[115],"angular":[117],"momentum,":[118],"compare":[120],"operator":[124,143],"its":[126],"limit.":[128],"Anchored":[129],"finite-energy":[130],"preparation":[131],"permits":[132],"arbitrary":[133],"prescribed":[134],"$L^2([-L,0])$":[136],"profiles":[137],"without":[138],"zero-integral":[140],"condition.":[141],"The":[142],"explicitly":[146],"$O(e^{-2\u03baa})$":[147],"as":[148],"apparatus":[150],"size":[154],"translated":[156],"toward":[157],"horizon;":[159],"whenever":[160],"$T>L$,":[161],"positive":[162,174],"transfer":[165],"for":[168,187],"all":[169],"sufficiently":[170],"large":[171],"$a$.":[172],"A":[173],"lower":[176],"bound":[177],"impossible":[179],"at":[180],"or":[181,200],"below":[182],"travel":[185],"time,":[186],"every":[188],"translation.":[189],"These":[190],"results":[191],"concern":[192],"reconstruction,":[196],"not":[197],"quantum":[198],"information":[199],"dissipative":[201],"horizon":[202],"evolution.":[203]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-23T00:00:00"}