[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-83224-en":3,"doc-seo-83224-105":29,"detail-sidebar-cat-0-en-105":83},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":13,"seo_description":14,"update_tm":27,"read_time":28},83224,962075114765,"Quinn","https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd",8,"Research & Report","Horizon-Restricted Leading Soft QED as Open Quantum System","The paper formulates black-hole-horizon-induced decoherence for charged branch codes as a leading-soft QED reduced to an exterior algebra, treating it as an open quantum system. The fixed-history Feynman–Vernon identity stays exact, while decoherence arises from an unequal-history influence factor tied to complementary horizon output. In the coherent eikonal regime, a completely positive Schur channel emerges from horizon-projected leading-soft (eikonal) factors, yielding operational constraints, non-Markovian tests, and interferometric access to a horizon Bargmann holonomy.","arXiv :2607 .07342v 1 [hep-th] 8 Jul 2026  \nHorizon-Restricted Leading Soft QED  \nas  \nOpen Quantum System  \nSoo-Jong Rey  \nKwangwoon University  \nSeoul, Korea  \n[sjrey@kw. ac. kr](sjrey@kw. ac. kr)  \nAbstract  \nI formulate black-hole-horizon-induced decoherence of charged branch codes as the leading-soft QED restricted to an exterior algebra, formulated as an open quantum system. The fixed-history Feynman–Vernon identity F [J, J] = 1 remains exact. Decoherence enters through the unequal-history influence factor that survives exterior monitoring and belongs to the complementary horizon output. In the coherent eikonal regime, I derive the completely positive Schur channel (E(0)Hρ)ab = ⟨ΦH,b(0)|ΦH,a(0)⟩ ρab. The leading soft input is the eikonal factor, projected onto the horizon radiative algebra. The channel yields Gram-positivity constraints, an exterior quantum-eraser bound, finitetime non-Markovianity tests, soft/hard scaling criteria, and a charged-qutrit interferometer measuring a leading-soft Bargmann holonomy. The holonomy phase is the rephasing-invariant symplectic area of a triangle in horizon soft phase space. I show that its orientation, common-mode, triangulation, and completely positive determinant identities render falsifiable tests beyond pairwise two-path visibility.  \n1 Introduction  \nLong-range gauge fields necessitate a rigorous separation between the constrained Coulomb field and independent radiation [1–5 , 7] . In this work, I employ this separation to formulate black-hole-horizon-induced decoherence as a leading-soft [8] opensystem channel [9 , 10] . A dressed charged branch carries the Coulomb field required by Gauss’s law; the environment consists exclusively of soft radiative records that lie outside the algebra controlled by the exterior experimenter. In flat spacetime, an adiabatic protocol drives the independent radiative record to vanish upon recombination. Near a horizon, however, this identical branch-dependent leading-soft record bifurcates: exterior modes propagate to I + , whereas a complementary component crosses H+ and remains inaccessible to exterior operations.  \nExisting analyses of horizon decoherence have established the physical effect for charged and massive bodies near black holes and Killing horizons, connected it to local low-frequency two-point functions, and identified the finite-time recovery problem [11–16] . (For recent follow-up works, see [17–20]) . I reformulate these elements within the framework of leading-soft inclusive QED and open quantum systems, extending the work of [9 , 10] . The central object of study is a reduced channel specified by an accessible exterior algebra, detector resolution, and a complementary output; it is not merely a coordinate-frequency designation for a horizon detector.  \nI initiate the construction by assuming a tensor product between the dressed charged branch sector and the independent radiation field,  \nρintot = ρinbr ⊗ ρinrad , (1)  \nwhile the branch density matrix itself remains entirely arbitrary. A diagonal branch input generates classical emission histories, whereas a coherent branch input probes the off-diagonal entries of the identical channel. Consequently, the familiar twobranch spatial superposition functions merely as a basis choice for extracting a single channel coefficient, rather than as a fundamental structural assumption. The normalized Feynman–Vernon influence functional obeys the fixed-history identity [9 , 10]  \nF [J, J] = 1 , (2)  \nand the black-hole effect manifests as the residual unequal-history factor F [Ja , Jb ], which exterior operations are unable to erase.  \nWithin the coherent-state regime, the horizon component of this residual factor assumes the form of a Gram matrix:  \nGHab,(0) = ⟨ΦH,b(0) |ΦH,a(0) ⟩ , (E(0)Hρ)ab = GHab,(0) ρab. (3)  \nThus, the horizon contribution acts as a completely positive Schur multiplier on any finite branch code. This channel formulation enforces Gram positivity, constrains exterior","cbCaiuVIM7Q0rJNO","https://ap.wps.com/l/cbCaiuVIM7Q0rJNO","pdf",410666,1,32,"English","en",105,"# Abstract\n# 1 Introduction\n## Horizon decoherence and separation of Coulomb vs radiation\n## Open quantum system channel and reduced horizon contribution\n## Operational predictions: erasure limits and non-Markovianity tests\n## Interferometric observable: multi-branch Bargmann product\n## Paper organization","[{\"question\":\"What is the key operational observable derived from the leading-soft construction?\",\"answer\":\"A three-arm charged interferometer reconstructs the leading-soft Bargmann product (cyclic multi-branch visibility), whose phase corresponds to an orientation- and triangulation-revealing symplectic area in the horizon soft phase space.\"}]",1784186041,81,{"code":4,"msg":30,"data":31},"ok",{"site_id":24,"language":23,"slug":32,"title":13,"keywords":33,"description":14,"schema_data":34,"social_meta":78,"head_meta":80,"extra_data":82,"updated_unix":27},"horizon-restricted-leading-soft-qed-as-open-quantum-system","",{"@graph":35,"@context":77},[36,53,68],{"@type":37,"itemListElement":38},"BreadcrumbList",[39,43,47,50],{"item":40,"name":41,"@type":42,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":44,"name":45,"@type":42,"position":46},"https://docshare.wps.com/document/","Document",2,{"item":48,"name":12,"@type":42,"position":49},"https://docshare.wps.com/document/research-report/",3,{"item":51,"name":13,"@type":42,"position":52},"https://docshare.wps.com/document/horizon-restricted-leading-soft-qed-as-open-quantum-system/83224/",4,{"url":51,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":23,"description":14,"dateModified":61,"datePublished":62,"encodingFormat":60,"isAccessibleForFree":63,"interactionStatistic":64},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":40,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-07-17","2026-07-16",true,{"@type":65,"interactionType":66,"userInteractionCount":20},"InteractionCounter",{"@type":67},"ViewAction",{"@type":69,"mainEntity":70},"FAQPage",[71],{"name":72,"@type":73,"acceptedAnswer":74},"What is the key operational observable derived from the leading-soft construction?","Question",{"text":75,"@type":76},"A three-arm charged interferometer reconstructs the leading-soft Bargmann product (cyclic multi-branch visibility), whose phase corresponds to an orientation- and triangulation-revealing symplectic area in the horizon soft phase space.","Answer","https://schema.org",{"og:url":51,"og:type":79,"og:title":13,"og:site_name":58,"og:description":14},"article",{"robots":81,"canonical":51},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":84},[85,89,93,97,102,107,112,115,120,123,127],{"id":20,"doc_module":4,"doc_module_name":45,"category_name":86,"show_sort_weight":87,"slug":88},"Story & Novel",90,"story-novel",{"id":46,"doc_module":4,"doc_module_name":45,"category_name":90,"show_sort_weight":91,"slug":92},"Literature",80,"literature",{"id":52,"doc_module":4,"doc_module_name":45,"category_name":94,"show_sort_weight":95,"slug":96},"Exam",70,"exam",{"id":98,"doc_module":4,"doc_module_name":45,"category_name":99,"show_sort_weight":100,"slug":101},5,"Comic",60,"comic",{"id":103,"doc_module":4,"doc_module_name":45,"category_name":104,"show_sort_weight":105,"slug":106},6,"Technology",50,"technology",{"id":108,"doc_module":4,"doc_module_name":45,"category_name":109,"show_sort_weight":110,"slug":111},7,"Healthcare",40,"healthcare",{"id":11,"doc_module":4,"doc_module_name":45,"category_name":12,"show_sort_weight":113,"slug":114},30,"research-report",{"id":116,"doc_module":4,"doc_module_name":45,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":45,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":45,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":45,"category_name":129,"show_sort_weight":98,"slug":130},19,"General","general"]