HDBLAST: BD Prehistory Target Enclosures, Incoming-State Transfer and Finite-Band Ward Bookkeeping

This additive HDBLAST mathematical-methods edition completes a certified calculation of the prescribed Bunch-Davies incoming-state prehistory target on the inherited fixed geometry. It also archives the October5 finite-band Ward/contact bookkeeping and October7 incoming-state transfer theorem. All23 files from published record23114217 are preserved; four additions give27 files totaling 448,387,915 bytes.

Both independently implemented bounded routes enclose U and W for two compact source profiles at nine exact rational momenta, including the analytic normalized k=0 limit. All36 rectangle pairs and72 component intervals intersect; maximum actual exported L1 radii are below1.555e-21 and3.138e-23, within the fixed1e-20 target gate. Fresh extraction replay in normal and optimized Python reproduces every DATA byte and scientific budget component. An independent saved-output review verifies the four runs and all proof/control receipts.

The exact prescribed source and zero-past condition determine the continuum target; no arbitrary state was substituted at the matching time. U and W are entire at k=0, while certified nonzero W(a,0) proves a simple infrared pole in A=W/(2ik) for both sources. The matching-time first-order Bogoliubov coefficients have opposite1/k poles and are not uniformly small at fixed represented epsilon as k approaches zero. Their field combination stays finite; the higher-order epsilon remainder and nonlinear state are not enclosed.

A separately scoped continuous source-and-real-coefficient representation certificate gives scaled density upper4.094e-21 and pressure upper1.625e-18 on0<k<=256 and eta in[-4.5,-3.5]. Only the representation DIFFERENCE propagates homogeneously under identical subsequent forcing; the source is still active. These bounds exclude continuous numerical phase/ODE arithmetic, saved binary80 state comparison, time/momentum quadrature, full contacts and ultraviolet tails.

Original stored-state error remains NOT_ENCLOSED. The full twelve-case2e-8 pressure/contact continuum certificate remains UNRESOLVED; metric calibration remains FAIL. Physical energy normalization, coupled gravity, heating, thermalization, a sustained radiation era, observational agreement and a higher-dimensional cause of the Big Bang remain NOT_ESTABLISHED. External novelty remains NOT_ASSESSED. Internal AI-assisted reviews are not external peer review or proof-assistant formalization.

Start with the immutable scientific report: https://github.com/maldonado-research/HDblast/blob/7fbde527a9031baccd1f04b7ce3e8b905b2fdf10/research/HDBLAST_CHECKPOINT_20261007_BD_PREHISTORY/RESULTS.md. The prospective freeze remains a253f50158051881f18bbdec81c12dbbb4f49eba. Main concept DOI10.5281/zenodo.17088132 and previous main editions are preserved. Companion23111008 remains in concept10.5281/zenodo.22922927. Reports/data retain CC BY4.0, code its included MIT license and third-party material its own license.