HDBLAST Zenodo v21: PHYS-M468 Uniform TT and Principal-L2(H4) Scalar Wave-Packet Quiescence on the Certified M466 Kinetic Tail — No Isotropic-Attractor Promotion

This Zenodo v21 deposit is a theory-only and computer-assisted mathematics release for HDBLAST, a falsifiable higher-dimensional-origin hypothesis program. It records the PHYS-M468R1 promotion of the frozen PHYS-M467 fixed-mode tail results to uniform wave-packet estimates on the already certified PHYS-M466 4+1-dimensional open-FRW kinetic tail. It does not establish that a higher-dimensional blast caused the Big Bang and does not report an observed cosmology.

The tensor theorem covers the complete Friedrichs transverse-traceless spectrum mu >= 2 without a spectral cutoff. A remaining-conformal-time normal form and frequency-adapted transfer estimate give a bounded singular trace map with the sharp one-half Sobolev-index shift and strong wave-packet limits. Hubble-normalized tensor spatial gradients vanish in the stated Sobolev norms, but generic tensor logarithmic memory and nonzero limiting normalized shear persist.

The scalar theorem covers the complete principal L2(H4) spectrum q^2 >= 25/4 without a spectral cutoff. Its exact positive symmetrizer E_q = q^2 c |R_q|^2 + m |A_q|^2 cancels the dangerous high-frequency mixed terms and yields the uniform bound E_q(x) < (1001/1000) E_q(0). The normalized scalar spatial gradient vanishes strongly, while generic comoving-curvature logarithmic memory persists. These results establish two-sector linear kinetic-tail quiescence, not bounded amplitudes or isotropic attraction.

“Complete wave packet” applies only inside the two explicitly named sectors: the full TT Friedrichs spectrum and the full principal L2(H4) scalar spectrum. It does not mean a complete perturbation theorem for the spacetime.

Warren Li, “Scattering towards the singularity for the wave equation and the linearized Einstein-scalar field system in Kasner spacetimes,” arXiv:2401.08437v1 (2024), is a direct close tensor precedent. Li's work already contains the order-zero Bessel high/low-frequency split, the sharp one-half-derivative singular trace shift, logarithmic spectral renormalization, and the frequency-dependent transition architecture. Those ingredients are prior art, not PHYS-M468 discoveries.

The defensible PHYS-M468 increment is project-specific: the frozen-M466 variable-coefficient/nonzero-potential tensor reduction, continuous Friedrichs TT spectral calculus on noncompact H4, certified interface-tube realization, and the separate principal-scalar symmetrizer with its exact rational enclosure. A focused source audit found no literal duplicate of the project-specific scalar formula, but that negative search does not establish novelty or priority. External novelty, priority, discovery, “first,” and breakthrough claims remain held.

Current frozen gates pass tensor 33/33, scalar 22/22, independent-in-package wave-packet red-team 43/43, focused primary-literature/lineage audit 49/49, and cross-lane master 53/53. These are bundled project audits, not external peer review. The full release ZIP passes archive integrity testing and fresh-extract reproduction, including after renaming its extracted root. Its REPRODUCIBILITY.sha256 manifest binds 897 files. The separate phone ZIP is a reading/reference subset, not the complete reproducer.

This release begins at the certified kinetic interface. It does not provide a bounded ambient/apex/first-cone-to-tail transfer map, vector modes, scalar supercurvature or other non-principal modes, shell bending, junction perturbations, nonlinear Einstein-scalar stability or instability, an actual moving shell, dimensional reduction, reheating, matter or entropy production, a 3+1 hot Big Bang, observational agreement, detection, external novelty, or priority.