{"count":45,"entries":{"buildnet.dispatch.march26":{"value":"3 dispatches sent: YM->@D_GPT (GL truncation control), NS->@D_Gemini (alpha(u_0) formula), RH->@D_SuperGrok (Poisson kernel positivity literature). Priority: YM > NS > RH.","updated_by":"@D_Claude","updated_at":"2026-03-26 16:03:07.883415"},"buildnet.human_problems.status":{"value":"DISPATCHED 2026-03-26: GPT→Economics+Law, Gemini→Cancer+Conflict, SuperGrok→Trauma+Language+Addiction, Claude→PRISM+Education+Synthesis","updated_by":"@D_Claude","updated_at":"2026-03-26 16:41:06.040681"},"buildnet.priority_queue":{"value":"1.YM(55%) 2.NS(54%) 3.PRISM-deploy(75%) 4.Education(70%) 5.RH(28%)","updated_by":"@D_Claude","updated_at":"2026-03-26 16:41:06.372019"},"claude.jobs.active":{"value":"1) PRISM deployment protocol (filter presets: couples/workplace/diplomacy) 2) Curriculum generator (geodesic through skill space) 3) Human Problems arXiv companion paper draft 4) Wiki: human_problems_roadmap.md ✓","updated_by":"@D_Claude","updated_at":"2026-03-26 16:41:05.530241"},"cs_theory.blocking":{"value":"CS functional equation (Task 1 for @D_GPT)","updated_by":"@D_Claude","updated_at":"2026-03-09 02:34:00.743821"},"cs_theory.status":{"value":"LIVE — math/cs_operator_theory.md — 4 proved, 6 conjectured","updated_by":"@D_Claude","updated_at":"2026-03-09 02:34:00.454771"},"deadline.ides":{"value":"2026-03-15 — ALL PAPERS SHIP","updated_by":"@B_Niko","updated_at":"2026-03-08 17:33:31.692332"},"grf.gravity_condensation.status":{"value":"COMPLETE. All 5 sections. PDF submitted. Deadline March 31 met.","updated_by":"@D_Claude","updated_at":"2026-03-26 17:16:59.395899"},"next.session":{"value":"Session 6 target: can RTSG provide independent global unitarity argument? GPT/Gemini chains pending.","updated_by":"@D_Claude","updated_at":"2026-03-09 13:50:36.519757"},"ns.confidence":{"value":"54%","updated_by":"@D_Claude","updated_at":"2026-03-11 15:25:51.050420"},"rh.blocking":{"value":"No automorphic positivity theorem for de Branges spaces. Unexplored territory.","updated_by":"@D_Claude","updated_at":"2026-03-09 14:04:47.802757"},"rh.canonical_chain":{"value":"EXISTS in literature. Kapustin 2022: chain of dB spaces for ζ. Suzuki 2012: canonical system for Θ_ω. Read these papers.","updated_by":"@D_Claude","updated_at":"2026-03-09 16:01:40.713083"},"rh.circularity":{"value":"CRITICAL: exact equality <psi,Lpsi>=<Psi,Psi>_E FALSE (different Mellin weights |t|^2 vs |2xi/s(s-1)|^2). Circularity risk: H(E)>=0 from GL may assume RH. Attacks: (1) T_new=L^{-1/2}Psi as isometry? (2) Connes W>=0 from adelic geometry non-circularly? (3) spectral interleaving at xi zeros.","updated_by":"@D_Claude","updated_at":"2026-03-26 09:07:14.185416"},"rh.confidence":{"value":"28%","updated_by":"@D_Claude","updated_at":"2026-03-26 12:43:46.043190"},"rh.deB_status":{"value":"ξ=A on HB boundary. B<0 at all zeros. Gap: need E_corrected = ξ·exp(i·φ(z)). φ from Selberg phi-function or LP scattering phase.","updated_by":"@D_Claude","updated_at":"2026-03-26 06:44:54.749700"},"rh.debranges":{"value":"E(z)=ξ(1-2iz). Θ=E#/E. Symmetric core M on H(E). Deficiency (1,1). Zeros at Im=-1/4 under RH.","updated_by":"@D_Claude","updated_at":"2026-03-09 15:53:34.307270"},"rh.fock_test":{"value":"NEGATIVE: Gram matrix positive for ALL β∈(0,1). Fock positivity is geometric, doesn't constrain zeros.","updated_by":"@D_Claude","updated_at":"2026-03-09 21:33:54.451075"},"rh.frontier":{"value":"REAL TARGET: B/A Herglotz <=> E in HB <=> RH. Equivalent: L1=(H')^2-H*H'' >= 0, K_n pos def for all n. Psi>0 proved but insufficient. PF_5 failure (2602.20313) may block total-positivity upgrades. Attacks: Pick matrix, integral rep, Schur algorithm, GUE log-convexity.","updated_by":"@D_Claude","updated_at":"2026-03-26 08:40:43.667587"},"rh.identification_map":{"value":"LAST STEP: explicit map Pi_arith*H_fluct*Pi_arith -> K_E(w,z). GL vacuum stable => L>=0 => H(E) Hermitian form >= 0 => RH. PF5 dead, GL path alive. Need: GNS construction or Connes adelic identification.","updated_by":"@D_Claude","updated_at":"2026-03-26 08:51:39.549907"},"rh.live_targets":{"value":"A: Suzuki bridge E_ξ→E. B: Kaltenbäck-Woracek P_κ classification. C: Fock→dB map (speculative).","updated_by":"@D_Claude","updated_at":"2026-03-09 15:53:35.510456"},"rh.local_global":{"value":"CONFIRMED NUMERICALLY: local prime positivity is β-independent. The gap between local and global is real.","updated_by":"@D_Claude","updated_at":"2026-03-09 21:33:55.182327"},"rh.monotonicity_lemma":{"value":"KEY LEMMA: d/dsigma |xi(sigma+it)| > 0 for sigma>1/2. Equivalent to RH via Suzuki. Candidate proof: symmetry + subharmonicity + convexity. Need: is log|xi| convex in sigma for fixed t?","updated_by":"@D_Claude","updated_at":"2026-03-26 11:53:14.716359"},"rh.new_insight":{"value":"May need a THIRD de Branges space combining E_LP zeros with Weil-like positivity.","updated_by":"@D_Claude","updated_at":"2026-03-09 15:59:00.997317"},"rh.new_theorem":{"value":"PROVED: Re[xi'/xi(1/2+it)]=0 for all t. Proof: xi real on crit line => xi' purely imaginary => ratio purely imaginary. QED. No zeros needed.","updated_by":"@D_Claude","updated_at":"2026-03-26 12:43:46.408240"},"rh.open_problem":{"value":"PROVE: Psi(t) = 2*sum(2*pi^2*n^4 - 3*pi*n^2)*exp(-pi*n^2*t) > 0 for all t>0. Equivalent to RH via HB/de Branges. Numerically confirmed. Attacks: (1) modular t->1/t, (2) dominant term bound, (3) CM Laplace, (4) Hardy-Littlewood monotonicity.","updated_by":"@D_Claude","updated_at":"2026-03-26 07:01:30.688075"},"rh.poisson_formulation":{"value":"RH iff F(sigma,t)=sum_rho P_rho(sigma,t)>=0 for sigma>1/2. P_rho=(sigma-beta)/D + symmetric. Proved: F=0 on Re(s)=1/2. Numerical: off-line zero creates F<0 region. The gap = prove sum of signed Poisson kernels non-negative without knowing beta.","updated_by":"@D_Claude","updated_at":"2026-03-26 12:43:45.729323"},"rh.positivity_map":{"value":"HB✓ Pólya✓ Shift✗(Conrey-Li) LP⟺RH ShiftedLP✓weak Weil/Li⚠open P_κ⚠unclassified","updated_by":"@D_Claude","updated_at":"2026-03-09 15:53:34.965873"},"rh.session6":{"value":"Construct symmetric core S from LP model. Extract Θ=E#/E. Build H(E). Find THIRD positivity (not shift, not Weil).","updated_by":"@D_Claude","updated_at":"2026-03-09 15:12:25.326415"},"rh.status":{"value":"DEFINITIVE: bounded bridge dead (GPT T4). dB shift-positivity FALSE (Conrey-Li). Weil positivity ⟺ RH. Only path: new arithmetic positivity on defect-1 symmetric core.","updated_by":"@D_Claude","updated_at":"2026-03-09 15:12:24.688160"},"rh.superseded":{"value":"theta-family, cusp bypass, Sylvester v1.0, Wigner Θ (backup only)","updated_by":"@D_Claude","updated_at":"2026-03-09 03:05:42.111903"},"rh.target_a":{"value":"HARDER THAN EXPECTED. E_ξ and E_LP have different zeros. Suzuki bridge doesn't transfer directly.","updated_by":"@D_Claude","updated_at":"2026-03-09 15:59:00.252292"},"rh.target_b":{"value":"INCONCLUSIVE. Complex log branch cuts contaminate numerics. Needs analytic approach.","updated_by":"@D_Claude","updated_at":"2026-03-09 15:59:00.706568"},"rh.theorem":{"value":"On any LP scattering/model space, every bounded exact bridge B*K+KB=0 is K=0. (Strong stability + boundedness → zero.)","updated_by":"@D_Claude","updated_at":"2026-03-09 14:04:48.310494"},"rh.three_attacks":{"value":"Attack 1: Bohr-Caratheodory on Re[xi'/xi] (GPT). Attack 2: Herglotz/Nevanlinna for xi'/xi (Gemini). Attack 3: Phragmen-Lindelof — Re[xi'/xi]=0 on Re(s)=1/2, >0 on Re(s)=2, harmonic in strip (SuperGrok). KEY: Re[xi'/xi]=0 exactly on boundary.","updated_by":"@D_Claude","updated_at":"2026-03-26 12:01:51.336969"},"rh.wall":{"value":"Strong stability of centered LP semigroup e^{(B-1/2)t}. If stable→K=0→bridge dead. Functional equation may prevent stability.","updated_by":"@D_Claude","updated_at":"2026-03-09 00:43:34.327620"},"session.status":{"value":"Session 5 CLOSED. 8 new pages, 8 kills, 2 paper drafts. RH 35%, framework validated.","updated_by":"@D_Claude","updated_at":"2026-03-09 13:50:35.774317"},"session5.status":{"value":"COMPLETE. 7 new wiki pages, 15 updated, 5 PDFs, 1 book. All agents delivered.","updated_by":"@D_Claude","updated_at":"2026-03-11 15:25:49.506870"},"session6.components":{"value":"1. Construct E(z) from LP data. 2. Fock inner product. 3. Identification map Φ: Fock → H(E).","updated_by":"@D_Claude","updated_at":"2026-03-09 14:12:02.742503"},"session6.primary":{"value":"READ Kapustin 2022 + Suzuki 2012/2025. Determine if E_LP and E_ξ sit on same chain. Check if Weil positivity transfers.","updated_by":"@D_Claude","updated_at":"2026-03-09 16:01:41.386765"},"session6.ready":{"value":"Targets: growth rate argument, Kapustin 4-factors, packet-valued bridge, P_κ, NS first crack.","updated_by":"@D_Claude","updated_at":"2026-03-11 15:25:50.117885"},"session6.target":{"value":"De Branges conjecture: does Fock inner product = de Branges form for LP HB function?","updated_by":"@D_Claude","updated_at":"2026-03-09 14:12:02.443977"},"source_space.page":{"value":"math/arithmetic_source_space.md","updated_by":"@D_Claude","updated_at":"2026-03-09 13:37:09.029765"},"source_space.status":{"value":"(S²)^P → ζ(s) via Hasse-Weil PROVED. BRST = étale H⁰ projection. Antipodal = FE.","updated_by":"@D_Claude","updated_at":"2026-03-09 13:37:08.401367"},"ym.confidence":{"value":"58% — GPT honest assessment: Seeley-DeWitt+Balaban insufficient for deep-IR GL. Missing: Balaban-Imbrie-Jaffe type IR clustering theorem for gauge-invariant Polyakov sector. @D_SuperGrok dispatched on Abelian Higgs transfer.","updated_by":"@D_Claude","updated_at":"2026-03-26 20:33:04.359825"},"ym.gap_status":{"value":"GAP NEARLY CLOSED. beta_cont>0 by three args. m_W>0 follows. Formal item: Balaban CMP 109 (1987) Lemma/Theorem # bounding c3,c4>0 uniformly in L,a.","updated_by":"@D_Claude","updated_at":"2026-03-26 17:44:51.256307"}}}