Resonant Hunter v12/v13 - Sub-Higgs Causal Membrane Validation on LISA Spritz LDC2b (Zenodo 7436568): Hilbert Pure-Phase Pipeline Surviving 146k Gaps and Poisson Glitches 4/day, VGB 365d Secular Control Negative

This record contains the validation of the Resonant Hunter v12/v13 pipeline for sub-Higgs causal membrane detection on the LISA Data Challenge Spritz LDC2b open dataset (Zenodo Open DOI 10.5281/zenodo.7436568, Published 14 Dec 2022, 1.2 GB, 4 files: LDC2_spritz_mbhb1_training_v2.h5 85.8 MB loud SNR2000 31d 3 glitches, LDC2_spritz_mbhb2_training_v2.h5 85.8 MB quiet SNR100 1 week long glitch, LDC2_spritz_vgb_training_v2.h5 1.0 GB 36 Verification Galactic Binaries 365d Poisson 4 glitches/day, orbits.h5 618 kB). References: UAT (10.5281/zenodo.17729221), UPC (10.5281/zenodo.18210808), Dataset Spritz (10.5281/zenodo.7436568). Resonant Hunter DOI is intentionally NOT cited here to keep this record as independent instrumental validation. What is included: validation_script.py: Final script v12 Spritz Fix v2. Reads X,Y,Z -> A,E,T via A=(Z-X)/sqrt2, E=(X-2Y+Z)/sqrt6, cleans NaN gaps (mbhb1 10080 NaN, vgb 146160 NaN) via nan_to_num, decimates 0.2 Hz -> 0.1 Hz, bandpass 0.005-0.045 Hz Butterworth 4th, F_eff corrected for 96.4 deg sky error (F_eff = sqrt(F_plus^2+F_cross^2)(1+0.3cos)), Hilbert pure-phase DeltaPhi=Phi_A-Phi_E avoiding N_AN_E cross-noise, UAT sub-Higgs model f(t)=f0+alpha_sitk_early*(1-R_sub) with alpha=0.046 mHz/day, k_early=0.967, R_sub=0.008, ratio kappa/k=5.32>4.5 overdrive, energy 3531.7x.scientific_methodology.pdf: Full methodology v10 Welch (-0.0095 failed) -> v10.1 matched filter (+0.0450) -> v10.2 DUAL CROSS fails at SNR 0.2 due to N_A*N_E -> v10.5/10.6 sky map 96.4 deg error -> v11 dPhi/dt residual -> v12 sub-Higgs modular split SignalProcessor (agnostic) + UATEngineSubHiggs (UAT only). Steps to reach final script.field_equations.pdf: TDI conversion, orbital modulation, Hilbert, sub-Higgs equations, LambdaCDM ground truth we do NOT use (Omega_L 0.685).supplementary.zip: 46 PNGs + CSVs - combined 4 residues plot (mbhb1 mean -10.7002 std 15.2706, mbhb1 old -11.5804 std 11.6884, mbhb2 -10.6569 std 15.2163, vgb -18.0460 std 15.4791), VGB 365d secular plot slope -0.000284 mHz/day vs target 0.046 control negative.Limitations and Clarification - No Forced Results (core of this record):This validation does NOT force results and does NOT claim detection of membrane in Spritz. Console outputs are real physical values from real HDF5 files: obs/tdi shape (535680,1) and NaN counts are read from file headers, not hardcoded.Residue mean -10.7002 mHz std 15.2706 is nanmean(f_raw - f_theory) where f_raw = gradient(DeltaPhi)/(2pi) measured from real X,Y,Z with real glitches. If forced, mean would be exactly 0.046.VGB slope -0.000284 vs 0.046 is control negative. If forced, VGB would also give 0.046, but it gives ∼0, which is true LambdaCDM ground truth of Spritz (no membrane injected).The script validates that Hilbert pipeline survives 146k NaN gaps and realistic instrumental noise (laser, backlink, acceleration, readout) with flat std ∼15 mHz (time-domain product AE would be >60 mHz due to N_AN_E). It does NOT demonstrate detection, because Spritz does not contain it. It demonstrates robustness. Real detection requires real LISA 2035 data or real LISA Pathfinder thermal data from ESAC (http://lpf.esac.esa.int/lpfsa/), not synthetic LambdaCDM mock data.Novelty if membrane not demonstrated: Proof that all LDC datasets are synthetic LambdaCDM stress-test, not physical metric, and will be invalid if Roman Mpc BAO shows Lambda tension.Hilbert pure-phase method avoiding N_A*N_E, novel for LDC.Cleaning method for 10k-146k NaN gaps recovering residual where official LDC scripts return nan.VGB 365d as ideal secular control: 36 binaries, continuous, no MBHB chirp contamination.Keywords: LISA, Spritz, LDC2b, TDI, gaps, glitches, Hilbert phase, sub-Higgs, causal membrane, verification binaries Contact: Puán, Buenos Aires, Argentina - [email protected]://orcid.org/0009-0007-1748-3212