HDBLAST: Exact Stored-State Comparison with the Certified BD Prehistory Target
Description
This scientific checkpoint encloses the difference between exact represented incoming first-order states retained in four source/resolution capsules and the prescribed Bunch-Davies prehistory target. It covers all 49,152 capsule-node occurrences, 20 selected exact-reader arrays and 12 registered finite weighted prefixes at K=64,128,256. All registered stored-minus-target error rectangles are ENCLOSED. Capsule identities remain separate even when their momentum values coincide.
The fixed reader preserves represented binary80 values as exact rationals, including momenta, quadrature weights and u_1/w_1. It uses U=u_1/epsilon_represented and W=w_1/epsilon_represented without projecting or renormalizing the saved state. The preregistered target engine uses global degree 832 and Arb precision 512. Every exported U rectangle and every exported W rectangle passes the complete L1-radius gate of at most 1e-18. This gate controls certified target uncertainty, not incoming mismatch or stress error.
Certified positive lower and upper brackets resolve nonzero incoming mismatch. On the complete K=256 prefixes, coarse-capsule maximum normalized Cartesian complex L1 W errors are approximately 1.91e-14 at retained momenta near 255.86 and 255.90, while fine-capsule maxima are approximately 5.3-5.8e-16. These are decimal display approximations; exact outward brackets and maximizing-node witnesses in RESULTS.md are authoritative. These observations do not establish the cause of the errors or a convergence theorem.
Exact finite-weight transport encloses signed anchor differences and phase-uniform linear density/pressure differences on eta in [-4.5,-3.5], using the represented measure dk*k^2/(2 Pi_represented^2) and the inherited a_0(eta)^4/epsilon_represented scaled R/P convention. Subsequent forcing remains active; the difference evolves homogeneously under identical forcing and complete contacts. These bounds concern the twelve fixed finite represented weighted prefixes. They do not establish continuum interpolation or quadrature, later saved numerical-trajectory accuracy, full source/contact error or ultraviolet completion.
Actual normal and optimized registered executions pass, all eight stable scientific artifacts agree byte for byte, and independent saved-output review passes. Analytic bounds, compact summaries, source certificates, execution receipts, exact norm witnesses and original figures are in the scientific supplement. Complete target-node exports and replay inputs are pinned on GitHub. The scientific source was publicly frozen before execution at Git commit bedcca7e86995da1230c12a20fae3755b31f4a94. The complete standalone replay package, including all eight original/compact inputs and node-level exports, is available at immutable GitHub commit 13a30ef46f5c90c1b01ae83b609db65fd0f8a709 (https://github.com/maldonado-research/HDblast/tree/13a30ef46f5c90c1b01ae83b609db65fd0f8a709/research/HDBLAST_STORED_STATE_COMPARISON_PACKAGE_20261007). The smaller Zenodo supplement archives 159 unchanged checkpoint files and explicit external replay references. The fresh archive extraction passes complete saved-output verification and full normal/optimized replay, reproducing all eight scientific artifacts exactly. External pins bind that successfully replayed full archive, its completed receipt and the separate scientific supplement. The full 240,135,519-byte archive remains a prepared asset after two managed cloud credential-proxy HTTP 401 upload refusals; it is not a Zenodo attachment in this edition.
The full continuum pressure/contact certificate remains UNRESOLVED, historical metric calibration FAIL, higher-dimensional Big Bang causation NOT_ESTABLISHED and external novelty NOT_ASSESSED. Internal AI-assisted checks are not external peer review or proof-assistant formalization. Literature access comprises 46 recorded TLS GET responses with status 200 and eight selected primary-source passage readings. This is bounded coverage, not an exhaustive search or full-paper/proof verification; private caches and third-party paper bodies are excluded.
This is an additive edition in the existing concept family 10.5281/zenodo.17088132, following record 23225288. All 27 prior files are preserved and the scientific publication supplement plus an original overview are the two intended additions. Final file counts, content hashes and delivery status come from the sealed release inventory and complete public content readback.
Notes (English)
Other (English)
Historical v24 summary: the following text describes the unchanged inherited five-field linear-response checkpoint, published as record 22347452 (semantic version 2026.09.05-v24). It is retained for historical context. The main Description above describes the current source/operator update.
Historical v24 plain-language summary
This checkpoint completes an error-controlled calculation across the whole domain of a registered fixed-background five-field linear mathematical model. It joins 176 calculation regions with exactly matching boundaries, then includes bounds for the equation error, background uncertainty, boundary-data error and source integration. The resulting two-by-two response matrix has a determinant between 2.12278154373842557755059 and 2.53743323308364125340774. Because this interval is entirely positive, the two selected input pulses produce linearly independent output patterns in the two chosen mathematical readouts, within the model's stated assumptions.
The advance is a complete certification argument for this adjoint calculation over the full domain. Earlier project checkpoints already reported rank-two results by other arguments. This release does not claim a more precise determinant estimate or external mathematical novelty.
The conclusion depends on the archived background branch and inherited equations, source identities and stability bounds. A separate rigorous error enclosure for the independent forward calculation remains open. The detector normalizations are mathematical coefficient conventions; they do not establish physical measurement sensitivity or observational accessibility.
These results do not show that a higher-dimensional blast caused the Big Bang. Nonlinear persistence, agreement with cosmological observations and the proposed physical mechanism remain unestablished. The reviews and replays are internal checks, not external peer review or proof-assistant formalization.
Files
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Additional details
References
- Randall & Sundrum (1999), RS2
- Shiromizu, Maeda & Sasaki (2000), effective brane equations
- Maartens review on brane-world gravity
- NIST Digital Library of Mathematical Functions, §15.5, equation 15.5.4 (Gauss hypergeometric differentiation identity). https://dlmf.nist.gov/15.5.E4
- Forrester, P. J. (2018), Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882–83. arXiv:1806.10411. https://arxiv.org/abs/1806.10411
- Johansson, F. (2017). Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic. IEEE Transactions on Computers. https://doi.org/10.1109/TC.2017.2690633
- Johansson, F. (2018). Numerical Integration in Arbitrary-Precision Ball Arithmetic. https://doi.org/10.1007/978-3-319-96418-8_30