Data & Repro Pack (REALDATA, LISA 10-yr + confusion): Brane-world unification — one λ links a GW break and ΔNₑff (v1.2.1)

What’s new in v1.2.1 — Adds a compact AIC/BIC evidence panel (single vs broken power law), a LISA forecast strip at the joint f_br (median ± 1σ), and a λ–ΔN_eff corner (physical-units convention). Includes a drop-in REVTeX supplement with a short derivation box (SMS→FRW) and constraints DOIs. Filenames match those cited in the PRD Supplemental Material. Physics summaryWe model the universe as a 4-D brane in a higher-D bulk. The effective flat-FRW equation on the brane isH^2 = (8πG/3) ρ (1 + ρ/(2λ)) + Λ_4/3 + C/a^4.Two near-term, falsifiable links follow from a single parameter (λ):(1) GW spectral break: f_br(λ) ∝ λ^{1/4} (transition from ρ^2 era to standard 4-D radiation).(2) Early-radiation excess: C/ρ_γ,0 = (7/8) (4/11)^{4/3} ΔN_eff constrained by CMB/BBN. Contents• Results_TwoPager_REALDATA_20250816.pdf (equations + PTA/LISA overlays; ΔAIC outcome line)• Results_Insert_JOINT_REALDATA_20250816.pdf (joint posteriors + mini AIC table)• Model_Comparison_20250816.pdf (single vs broken overlay + ΔAIC)• Evidence_Table_REALDATA_20250817.pdf (+ Evidence_REALDATA_20250817.json)• LISA_ForecastStrip_20250817.png (band at joint f_br median ± 1σ)• Corner_LambdaPhys_DNeff_20250817.pdf (λ [TeV^4] vs ΔN_eff; labeled convention)• Compactification_Supplement_ToyComplete_20250816.pdf (RS toy; anomalies ✓, toy CKM/PMNS ✓, stabilization ✓)• Compactification_Snapshot_Ftheory_SU5_20250816.pdf (mainstream snapshot)• BestFit_JOINT_REALDATA_20250816.json; CMB_Planck2018_DeltaNeff_prior.json• exported_pta_spectrum_HD_30f_100fDMGP.csv; columns_and_units.txt• supplement.tex (REVTeX drop-in) Column schemaPTA CSV: freq_Hz [Hz], log10rho_median, log10rho_p16, log10rho_p84LISA CSV (ESA style): f_Hz [Hz], Sn_1_per_Hz [1/Hz], label [string] How to reproduce (minimal)1) Fit a broken power law in log10ρ(f) to the PTA CSV and read off the break f_br.2) Compare to BestFit_JOINT_REALDATA_20250816.json (central values + 68%).3) Overlay any LISA CSV (10-yr + confusion shown) for sensitivity context.4) The Two-Pager and Joint Insert are rendered directly from these files. License: CC BY 4.0. Please cite this record’s DOI. For all versions, cite the concept DOI; the version DOI identifies this release.