Hello Rubin/LSST community and Solar System Pipeline engineers,
I have been tracking the recent discussions regarding the pipeline’s performance, specifically how the data processing framework handles fast-moving, same-visit objects across multiple detectors and filters without generating unphysical orbital anomalies.
The current software architecture heavily relies on continuous Newtonian-Keplerian models and iterative parameter-fitting. However, our comprehensive ab initio data mining of the entire Minor Planet Center database (MPCORB, 1,549,644 unique objects) reveals a fundamental blind spot: the macroscopic vacuum isn’t continuous—it is topologically quantized.
In a milestone study co-authored with Dr. Jean-Claude Perez (Retired IBM AI European Research Centre) and backed by the prestigious Luc Montagnier Foundation (Paris), we developed the unified IT³-PHAM framework (Invariant Topological Torus with Perez Hourglass Field Equation). By applying a discrete Topological Quantization Operator—represented algorithmically as an automated np.floor() function—the chaotic continuous spectrum instantly collapses into strict, discrete geometric layers governed by a scale-invariant √3 cuboctahedral (Oh) symmetry.
THE COMPUTATIONAL INVARIANT MATRIX:
Our global sorting algorithm proves that orbital shell layers scale rigidly by the formula: Rₙ = 27 AU × (√3)ⁿ⁻¹.
When this discrete metric is executed on the massive 1.5M database:
• 99.56% of all known mass is rigidly trapped at the Sₙ=0 interior neck (Mercury through Saturn).
• The Kuiper Belt peak perfectly dynamically anchors at Sₙ=2 (46.77 AU), precisely reconstructing the Kuiper Cliff without planetary migration parameters.
• Main Belt structures like 16 Psyche anchor at the Sₙ=-4 phase boundary (3.00 AU theory vs 2.92 AU observed, <2.7% margin), while Jupiter locks at Sₙ=-3 (5.196 AU theory vs 5.20 AU observed, 0.07% error).
OUT-OF-SAMPLE CHALLENGE FOR LSST DR1:
To definitively rule out overfitting, we performed a blind test on 3,210 newly discovered objects added post-baseline, achieving a 100% structural match within a strict 2×3 transverse-vertical lattice. Section 6 of our manuscript explicitly predicts the exact coordinates (RA, Dec, semi-major axis, eccentricity) for the next 50 Extreme Trans-Neptunian Objects (ETNOs) to be discovered by your detectors. If the newly tracked bodies do not cluster within ±10° of our 36 interlocking resonance nodes, the model is falsified.
To show the Rubin data team this isn’t just an abstract mathematical theorem, our Zenodo repository includes the complete open-source cinematic analysis engine: it3_mpcorb_mapper_html.py. It performs live-sync uplinks to the Harvard CfA database and generates 3D dark-themed interactive HTML models driven by Plotly with zero-clutter typography for dense phase spaces.
Instead of patching a continuous pipeline that struggles with high-velocity boundary crossings, we suggest injecting Connes’ Non-Commutative Spectral Geometry directly into the tracking core. We officially invite the Rubin Observatory data scientists to audit our code, run the 1.5M database locally, and examine our specific falsification criteria for the upcoming LSST releases.
Full preprint, source code, and live-sync mapping scripts are fully public and archived:
Zenodo Record ID: 21263961 (The Macroscopic Vacuum Architecture: Perez Hourglass Topology, Counter-Rotating Bowls, and $m=6\oplus12$ Fractal Superposition in the Solar System (IT3 Framework v6.0))
Looking forward to your technical feedback and comparison with early Rubin datasets.
Best regards,
Victor Logvinovich
Master of Physical and Mathematical Sciences
Belarus