Papers

Four papers spanning theory, forecasting, and observational discovery. Papers 1 and 2 present the theoretical framework and falsifiable predictions. Paper 3 opens a new observational channel via AI-driven anomaly detection. Paper 4 delivers the largest bias-audited galaxy handedness catalog ever produced.

Paper 2 — The Decisive Test 100% Ready

Title: "Testing the Matter Bounce with Primordial Non-Gaussianity: Forecasts for SPHEREx and MegaMapper"

Scope: \(f_{\rm NL} = -35/8\) benchmark verification (Cai action audit + vertex-by-vertex normalization match at 92% confidence). Full-commutator polynomial (6,2,−18,10,−66,18) derived algebraically from Cai's own intermediate equations via 2×(Eqs. 34+35+36) at ε = 3/2—not a fit, the physics-derived result. ε correction bounded [1–8%], corrected range [-4.35, -4.02]. Template mismatch quantified: \(r \approx 0.85\text{--}0.90\) (CMB Fisher near 0.90, LSS/SDB nearer 0.85). NaMaster injection: ALL levels pass including \(\beta = 0.5°\) and \(\beta = 0.27°\). Template-corrected SPHEREx galaxy bispectrum forecast (~5.0–5.5\(\sigma\)). Consistency relation slope bounded: \(c \in [-0.7, -10]\). MegaMapper scale-dependent bias (3–7\(\sigma\)). Bayesian model comparison (600,000+ MC realizations). GR projection marginalization. Photo-z catastrophic outlier degradation analysis (bispectrum robust to 10% outliers, §7.3). 5 publication figures. ~12 pages.

Key results: Cai vs Li normalization resolved (92% confidence, vertex-by-vertex match). Full-commutator polynomial (6,2,−18,10,−66,18) derived algebraically from Cai's own intermediate equations using exact rational arithmetic: 2×(Eqs. 34+35+36) at ε = 3/2. The published (3,1,−9,5,−66,9) are the single-ordering coefficients. No independent verification of −35/8 found in the 2020–2024 literature. ε correction bounded [1–8%], corrected f_NL range: [−4.35, −4.02]. Template mismatch \(r \approx 0.85\text{--}0.90\) (CMB Fisher near 0.90, LSS/SDB nearer 0.85) — first explicit quantification showing local estimator captures 85–90% of the matter-bounce signal. NaMaster injection: ALL levels pass including \(\beta = 0.5°\) and \(\beta = 0.27°\) with zero bias. NaMaster EB: NSIDE=1024 \(\beta = 0.19 \pm 0.03°\) (lead result); NSIDE=2048 \(\beta = 0.07 \pm 0.02°\) (stress test—high-\(\ell\) instability). Bounce favored over standard inflation at BF >300 (robust to conservative GR treatment); favored over tuned multifield at BF >7. Template-corrected SPHEREx significance: ~5.0–5.5\(\sigma\) (reduced from naive 6.2\(\sigma\)). SPHEREx bispectrum channel avoids \(k_{\rm min}\) fragility. Null result would disfavor quasi-dust bounce at >4\(\sigma\).

Paper 4 — Galaxy Chirality at Scale ~20% Ready

Title: "8.47 Million Galaxies Classified for Spiral Handedness: A Bias-Audited Chirality Catalog from the DESI Legacy Imaging Surveys"

Target: MNRAS (Monthly Notices of the Royal Astronomical Society)

Scope: Production chirality pipeline v2 applied to the full Smith42/galaxies dataset (8.47M objects). 3-class CNN (CW/CCW/NOT_SPIRAL) with 93.7% accuracy, 8/8 bias tests passed, equivariant CW fraction = 0.5012. Largest bias-audited galaxy handedness catalog ever produced (40x larger than prior work). 3 catalog tiers: raw, calibrated, and equivariant. Connects to cosmological parity violation via torsion-induced spin preference.

Key results: 8,474,531 galaxies classified. CW = 1,687,069; CCW = 1,634,726; NOT_SPIRAL = 5,152,736. Raw CW/(CW+CCW) = 0.5079 (0.79% excess). After equivariant calibration: 0.5012 (consistent with parity conservation at current sensitivity). Model published on HuggingFace: bamfai/galaxy-chirality-v2. Full catalog backed up on local + Backblaze B2 + HuggingFace + Convex.

Remaining work: Spatial dipole analysis (is the CW excess direction-dependent?), redshift tomography (does asymmetry evolve with z?), cross-correlation with spectral anomaly catalog, systematic error budget, comparison with Shamir (2020) and Iye (2021) catalogs.

Paper 3 — The Discovery Catalog ~30% Ready

Title: "195,829 Spectral Anomalies from DESI DR1: An Autoencoder Search for Uncharacterized Objects at Survey Scale"

Target: ApJS (Astrophysical Journal Supplement Series)

Scope: Spectral autoencoder anomaly detection across the full DESI DR1 Main Survey (~18M spectra), the largest such search ever conducted on DESI data (~90x prior EDR-scale work). Running on H200 GPU at 896 spectra/sec. Enhanced 18M catalog with 45 columns (first of its kind). Includes 6-database cross-match (SIMBAD, NED, AllWISE, Milliquas, Gaia, SDSS), artifact investigation, and anomaly taxonomy. Draft v0.1 (~2,800 words).

Key results: 195,829 anomalies identified. Galaxies are 20x more anomalous than QSOs (0.75% vs 0.037% anomaly rate). Cross-match against 6 databases: SIMBAD 0.2%, NED 12.7%, AllWISE 1.5%, Milliquas 0%, Gaia 0.6% — 99.8% of anomalies are uncataloged in SIMBAD. 151,244 multi-band anomalies, 44,436 B-dominant anomalies, 96 artifact suspects flagged.

Remaining work: Spectral inspection of top candidates, injection/recovery tests, systematic artifact investigation, completeness analysis, redshift-dependent anomaly rate characterization.

Paper 1 — The Framework & Reckoning 99% Ready

Title: "Spin-Torsion Cosmology and the Search for Geometric Dark Energy: Structural Barriers, Perturbation Transparency, and Surviving Predictions"

Scope: Full ECH framework: LQC bounce + parity-odd effective action + inflationary suppression mechanism + MCMC constraints (Planck+BAO+SN, 424,181 samples across 3 dataset combinations (2 frozen + 1 exploratory)) + 14 structural barriers closing all bounce→DE routes + perturbation-transparency theorem (5-step proof, scalar + tensor) + hybrid-DE loophole rejection (7 forms) + ALP birefringence analysis (\(\beta = 0.27°\), MCMC inference with 9,720 samples, Bayes factor \(\ln B = 5.17\), LiteBIRD 9\(\sigma\) forecast) + falsification criteria. ~24 pages (focused version; supplementary material available).

Key results: \(\Lambda_{\rm eff} = \Xi M_{\rm Pl}^2 + c_\omega \omega^2\); fine-tuning reduced from \(10^{120}\) to \(\sim 10^5\); \(\Delta N_{\rm eff}\) consistent with zero in all datasets; 14 barriers close all standard bounce→DE mechanism classes; ECH perturbation-transparency theorem (N3 novelty): Holst term topological for scalar field matter, \(\gamma\) invisible in all perturbation observables; ALP birefringence prediction \(\beta = 0.27°\) matches 3.6\(\sigma\) observed signal. Honest documentation of known limitations including assumed \(w = -1\) and missing photon-torsion coupling.