HDBLAST Zenodo v20: Fourier-Support Correction and Fail-Closed 4+1D Numerical-Readiness Checkpoint through PHYS-M400 — No Radiation or Detection Promotion

This Zenodo v20 deposit is a theory-only correction and reproducible
  numerical-analysis release for HDBLAST, a falsifiable
  higher-dimensional-origin hypothesis program. It records the
  PHYS-M313--M316 Fourier-support correction and the latest fail-closed
  PHYS-M397--M400 4+1-dimensional numerical-readiness checkpoint. It does not
  establish that the Big Bang was caused by a higher-dimensional blast, does
  not report an observed gravitational-wave signal, and does not make a
  detection claim.

  The principal scientific correction concerns PHYS-M309--M312. A
  Fourier-support audit shows that the nonzero transverse-traceless matrix
  reported in PHYS-M309 was evaluated at a wave vector absent from the
  quadratic stress of the two declared independent free scalar trigger
  fields. Therefore the PHYS-M309 Fourier-resolved radiative TT certification
  is withdrawn. The PHYS-M311 value F_KK^E = 1.33765% was generated using an
  imposed Gaussian source window rather than the Fourier transform of that
  event's stress, and is demoted to an imposed-window/profile diagnostic
  rather than a same-event emitted KK energy fraction.

  A narrower viable channel remains. Two coherent, non-collinear momentum
  lobes in one scalar field generate genuine cross-support and select a
  massive Kaluza--Klein shell, m_*^2 = 2pq(1-cos(theta)). At the retained
  benchmark, m_*/mu = 1.1403134602092284, V_TT/mu^4 =
  0.2113523183350605, and the M52 continuum overlap is |C_m*|^2 =
  0.012457538514629291. These establish selected-shell kinematics and coupling
  diagnostics only. They are not absolute emitted energies or zero-mode/KK
  energy fractions. An interacting two-field phase-space witness shows that
  interaction-generated sidebands can support massless TT radiation, but no
  interaction-complete collision amplitude or energy ledger has been
  obtained.

  The numerical branch remains deliberately fail-closed. The prospective
  tensor-SBP-H quadrature repairs an earlier O_K convergence artifact, but the
  York-field diagnostic O_X remains non-asymptotic under both endpoint and
  SBP-H quadratures. In an exactly nested all-eight-face test, the D1/D2
  common-core psi response passes the registered 1% gate, while the
  common-core X response is 12.771% and fails. The aggregate status is
  A01--A09 = true, A10 = A11 = A12 = false, and
  PASS_ANALYSIS_FAIL_CLOSED_AT_A10.

  Four serialized raw numerical states pass implementation-separated
  reconstruction (4/4), release claim-boundary checks pass (48/48), fresh
  replay comparisons pass (4/4), and the 63-file M400 manifest passes. The
  three-part M400 publication set contains the locked M396 parent state, the
  four new raw NPZ states, source code, registered configurations, precomputed
  outputs, validators, and receipts. Its operator-kit, state-delta, and parent-
  state archives reconstruct the same 63-file manifest-complete tree as the
  certified monolithic release. The PHYS-M313--M316 correction package reports
  49/49 numerical checks and 14/14 package, equation, and claim-boundary checks.

  The following remain unestablished: an infinite-domain limit, production
  ADM initial data, a physical 114-field generalized-harmonic checkpoint,
  nonlinear D=5 evolution, causal packet interaction, data-derived source
  shutoff, worldtube/slab closure, a bounded late-time tail, covariant charge
  applicability, absolute E0, absolute EKK, a zero-mode/KK energy fraction, a
  present-day SGWB prediction, and detection. The finite-box quantities O_K,
  O_X, O_dpsi, their SBP-H counterparts, and O_Pi are constraint-slice
  diagnostics; they are not emitted energies, asymptotic charges, or
  observable spectra.

  The empirical firewall remains unchanged: v431 / WAIT_FOR_RETURN. No v432
  empirical package was created, no official return data or assignment was
  used, and no detection is claimed. The next registered branch,
  PHYS-M401--M404, targets a localized common-core York observable and
  repeated refinement/larger-domain tests before any production-state or
  physical generalized-harmonic checkpoint attempt.