DOI: 10.5281/zenodo.16868085
title: Data and Repro Pack for "A testable brane-world unification: one parameter links a GW spectral break and ΔN_eff" (Maldonado, 2025)

description: Machine-readable files sufficient to reproduce the figures and key checks in Maldonado (2025).

Contents:• LISA sensitivity curves in CSV with ESA-style headers:  f_Hz (Hz), Sn_1_per_Hz (one-sided strain noise PSD in 1/Hz), label (string).  Variants: 4-yr instrument-only, 4-yr +confusion, 10-yr instrument-only, 10-yr +confusion.• PTA spectrum CSV used to anchor the broken-power-law fit:  columns = freq_Hz, log10rho_median, log10rho_p16, log10rho_p84.• Results Two-Pager PDF: equations, PTA fit preview, LISA overlays (reader-friendly).• Best-fit parameters with 68% intervals (JSON).• README with instructions; optional reproduction script to regenerate plots.

Purpose:To enable independent inspection and regeneration of (i) the SGWB broken-power-law shape and break frequency f_br(λ) ∝ λ^(1/4), and (ii) the mapping of the dark-radiation constant C to ΔN_eff via  C / ρ_γ,0 = (7/8) * (4/11)^(4/3) * ΔN_eff.This dataset is complementary to the associated manuscript and is intended for peer review and reuse.
description: Data & Repro Pack — Maldonado (2025)

Files-----LISA CSVs:  ESA_RCL2019_4yr_instrument_ONLY_*.csv  ESA_RCL2019_4yr_instrument_PLUS_confusion_*.csv  ESA_RCL2019_10yr_instrument_ONLY_*.csv  ESA_RCL2019_10yr_instrument_PLUS_confusion_*.csvPTA CSV:  PTA_public_anchor_*.csv   (or exported_pta_spectrum.csv)Figures:  Results_TwoPager_*.pdfParameters:  BestFit_with_uncertainties.jsonDocs:  columns_and_units.txt (optional), Data_Provenance_Extraction.pdf (optional)Script:  reproduce_posteriors.py (optional)

Column schema-------------LISA CSVs: f_Hz [Hz], Sn_1_per_Hz [1/Hz], label [string]PTA CSV:  freq_Hz [Hz], log10rho_median, log10rho_p16, log10rho_p84

How to reproduce----------------1) Load the PTA CSV and fit a broken power law in log10rho(f) with a single break frequency f_br.2) Overlay any LISA CSV for visual context of space-based sensitivity.3) Use BestFit_with_uncertainties.json to compare central values.4) The Two-Pager PDF shows the exact plots recreated from these same files.

Citation--------Please cite this dataset:  Maldonado, R. (2025). Data and Repro Pack for “A testable brane-world unification…”.  Zenodo. https://doi.org/10.5281/zenodo.16866884
description: Over the past several days I developed a compact, testable framework that ties early-universe cosmology to gravitational-wave data in a single, falsifiable way. In brief, we model our universe as a 4-D brane embedded in a higher-D bulk, yielding the standard Shiromizu–Maeda–Sasaki effective field equation on the brane and, in FRW, a modified expansion law:

 





Modified Friedmann (flat, k=0):

H^2 = (8πG/3) * ρ * (1 + ρ/(2λ)) + Λ4/3 + C/a^4



 

 

Here λ is the brane tension; the ρ^2 term is the high-energy correction, and C/a^4 is the “dark-radiation” piece from the projected bulk Weyl tensor. Two clean, near-term tests follow:

 





GW spectral break: a broken-power-law SGWB with break frequency

f_br(λ) ∝ λ^(1/4) (transition from the ρ^2 era to standard 4-D expansion), testable with PTAs now and LISA next.




Radiation excess: dark-radiation constant mapped to the early-time parameter

C / ρ_γ,0 = (7/8) * (4/11)^(4/3) * ΔN_eff, constrained by CMB/BBN.



 

 

Falsifiability (single-parameter rule): one and the same λ must jointly (i) place f_br where the PTA→LISA bands allow, and (ii) yield ΔN_eff consistent with CMB/BBN. If the required λ fails either sector, the model is wrong.

 

Status and materials. I’m attaching:

 





a short Two-Pager with the equations, the PTA fit preview, and LISA sensitivity overlays;




a compact All-in-One explainer for context;




a minimal Repro Pack (CSV + script) that regenerates the figures with public PTA spectra and Planck-style ΔN_eff priors.

(If you prefer, I can supply a Zenodo DOI for the exact CSVs/figures.)



 

 

Conceptual note (singularity): the initial “Big-Bang singularity” is replaced by a higher-D energy event (brane blast/collision), which regularizes the initial condition while leaving late-time GR intact (ρ << λ → standard GR limits). This same geometry offers avenues for dark radiation and potential dark-sector effects; black-hole signatures (e.g., modified ringdown via bulk Weyl memory) are noted as follow-ups.

 

What would confirm it? A SGWB break at the predicted range (given the λ that also satisfies CMB/BBN ΔN_eff) and a consistent joint fit. What would falsify it? No break where required, or a λ incompatible with early-radiation bounds.