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Published February 27, 2026 | Version 2026.02.27‑v7

Higher Dimensional BLAST Hypothesis (HDBLAST): NextLevel (Lastmile snapshot v7, 2026‑02‑27) — Bessel‑K fingerprint + knee scaling tests for low‑frequency stochastic GW background

  • 1. Independent Researcher

Description

Title:

HDBLAST NextLevel (Lastmile snapshot v7, 2026‑02‑27): Bessel‑K fingerprint + knee scaling tests for low‑frequency stochastic GW background

Description (short):

This release is a research snapshot for the HDBLAST (“Higher‑Dimensional BLAST”) program: a test‑first, falsifiable phenomenological framework for a low‑frequency stochastic gravitational‑wave background featuring (1) a Bessel‑K spectral “fingerprint” and (2) a knee/turnover scale (f50). It includes robust estimators, discriminants, preregistration language, and explicit kill‑switch criteria.

Key deliverables in this version:

• Preprint scaffold + unified claim/test suite (HDBLAST_NEXTLEVEL_PREPRINT_SCAFFOLD_20260226.md)

• “Fingerprint theorem” tools (plane fit, ν estimation, invariants)

• Robust inversion + discriminants patch

• λ‑lock update and worked example

• Selected LISA‑knee predictions table

Status: preprint / hypothesis + test protocol (not peer reviewed).

How to use: see README_HDBLAST_LASTMILE_v7_20260227.md (inside the ZIP) for quickstart scripts.

Suggested citation: see CITATION.cff.

License: CC BY 4.0 (as set on this Zenodo record).

Default “read first” PDF: HDBLAST_NEXTLEVEL_BUNDLE_20260212_v2.pdf

Other (English)

In more basic terms

(plain-language summary)

Gravitational waves are tiny ripples in spacetime. Some gravitational waves come from single events (like black holes merging). But scientists also expect a persistent, faint “background hum” made from many overlapping sources across the Universe — this is called a stochastic gravitational‑wave background.

Two major ways of listening to this low-frequency background are:

• Pulsar Timing Arrays (PTAs), such as NANOGrav, which use ultra-stable pulsars as cosmic clocks.

• LISA (a future space mission), which will listen at higher frequencies than PTAs.

HDBLAST (“Higher‑Dimensional BLAST”) is a test‑first framework that asks a specific question:

If the low‑frequency gravitational‑wave background is shaped by a particular physical mechanism (including — but not limited to — scenarios where gravity effectively behaves as if extra dimensions or “brane‑world” physics matter), would the background have a distinctive, testable shape?

This release focuses on two linked ideas:

  1. A shape “fingerprint”

    Instead of only asking “is there a background?”, HDBLAST asks “does the spectrum have a particular mathematical shape?”

    In this hypothesis, the spectrum should follow a characteristic curve related to a Bessel‑K function (a well-known mathematical function that appears in many physics problems). The practical point is not the function itself — the point is that it creates a very specific, checkable pattern in how the spectrum bends and changes with frequency.

  2. A “knee” (turnover) scale

    Many spectra can look like a simple power law over a limited range. HDBLAST additionally predicts a specific “knee” or turnover frequency — the place where the spectrum transitions (“bends”) in a structured way. In this work we summarize that knee using an operational definition called f50.

What is new/important in this snapshot is not a claim of a discovery. It is a packaged set of falsifiable tests:

• Tools to estimate the fingerprint parameters from spectra.

• Robust statistics designed to be less sensitive to noise, outliers, or modeling choices.

• Discriminants that help separate “looks like the fingerprint” from “does not look like the fingerprint.”

• “Kill‑switch” criteria — explicit conditions under which the hypothesis should be considered ruled out by the data.

Why this can matter:

If, over time, independent analyses find that the same fingerprint and knee behavior appear consistently across PTA data and then match cross‑band predictions for LISA, that would strongly suggest the background is not just an arbitrary curve — it would point to a structured physical mechanism shaping the spectrum. If the tests fail, that is also valuable: it would place strong constraints on this entire class of ideas and help narrow the space of viable models.

This Zenodo release is intended to be reproducible and inspectable: it includes a ZIP “lastmile” pack with scripts, notes, and tables, plus a compact PDF quicksheet so readers can understand the core tests without running code.

Other (English)

Media summary

(for journalists / general audiences)

A new Zenodo release of the HDBLAST (“Higher‑Dimensional BLAST”) project introduces an open, test‑first framework for checking whether the low‑frequency gravitational‑wave background has a distinctive, falsifiable spectral signature.

The central idea is that a real physical mechanism can leave a “fingerprint” in the spectrum — not just a generic power law. In this hypothesis, the fingerprint is a specific curve related to a Bessel‑K function, together with a characteristic “knee” (turnover) scale defined operationally by a frequency f50.

What this release provides:

• A unified claim + test suite (with preregistration‑style language) describing what would count as support or failure.

• Robust estimators and discriminants designed to reduce sensitivity to noise and analysis choices.

• Cross‑band forecasting tools linking PTA‑band features (e.g., NANOGrav) to testable expectations in the LISA band.

• Explicit “kill‑switch” criteria: conditions under which the hypothesis should be rejected.

What it is (and is not):

This is not a claim of a confirmed discovery, and it is not peer reviewed. It is a research snapshot designed so that other researchers can directly test, reproduce, and attempt to falsify the proposed signature.

Why it could be impactful if validated:

If independent analyses eventually find consistent evidence for the same fingerprint and knee behavior across datasets — and if future LISA observations match the predicted cross‑band behavior — it could point to new constraints (or new ingredients) in our understanding of gravitational physics and early‑Universe cosmology, including possibilities where effective higher‑dimensional or brane‑world effects matter. Even a null result would be important, because it would rule out a broad class of ideas with a clear, quantitative test.

Files

HDBLAST_NEXTLEVEL_BUNDLE_20260212_v2.pdf

Additional details

Dates

Updated
2025-12-12
vLASTMILE+ update: canonical physical ΔN_eff, updated indices, new referee-ready "rerun all gates" README + scripts, and updated plots/deck.
Updated
2025-12-17
vLASTMILE+ REALONLY v22: add shared-knee coherence, curvature/leave-one-out, covariance sensitivity; GrandStatus v18; ShortPaper v10
Updated
2025-12-29
vKILLSWITCH++ (covariance killswitch; copula‑free bounds; closed‑form n_eff mapping; runnable pipeline + calculator)
Updated
2026-01-06
v28 result add‑on: copula‑free (kernel‑free) certificate applied to NANOGrav 15‑yr KDE FreeSpectra (HD); PASS scorecards for N=10 and N=30; results bundle uploaded.

Software

Programming language
Python
Development Status
Active

References

  • Kass & Raftery (1995), Bayes Factors, JASA
  • NANOGrav Collaboration (2023), 15-year evidence for a gravitational-wave background
  • Randall & Sundrum (1999), RS2
  • Shiromizu, Maeda & Sasaki (2000), effective brane equations
  • Maartens review on brane-world gravity