The Macroscopic Vacuum Architecture: Perez Hourglass Topology, Counter-Rotating Bowls, and $m=6\oplus12$ Fractal Superposition in the Solar System (IT3 Framework v6.0)
Authors/Creators
Description
This repository contains the official manuscript (v6.17), complete datasets, Python source code, and pure data-driven high-resolution visualizations for the $IT^3$ (Invariant Topological Torus) Framework.
This major update elevates the research to an unprecedented dual-scale empirical validation, expanding the scope to a massive, universal analysis of 1,549,644 objects (the complete MPCORB database). Crucially, this release introduces a rigorous Real-Time Out-of-Sample Validation (Delta Analysis), a completely data-driven framework for "Macroscopic Chemistry," and fundamentally derives the $\sqrt{3}$ planetary scaling invariant from the $O_h$ cuboctahedral symmetry group and Connes' spectral geometry. By identifying the algorithmic np.floor() operation as the physical Topological Quantization Operator, this work uncovers the true topological architecture and quantum-like phase confinement of the macroscopic vacuum.
Authors:
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Victor Logvinovich (Master of Physical and Mathematical Sciences, Researcher in Pedagogical Sciences, Belarus) | ORCID: 0009-0007-2040-6955
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Jean-Claude Perez (Retired IBM Artificial Intelligence European Research Centre; Luc Montagnier Foundation, France) | ORCID: 0000-0001-6446-2042
๐ฏ Key Scientific Findings & Major Breakthroughs:
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๐ Geometric Origin of the $\sqrt{3}$ Invariant (NEW): The logarithmic spiral scaling of planetary orbits ($R_n = 27 \times (\sqrt{3})^{n-1}$ AU) is rigorously derived from the $O_h$ point group symmetry. The 1:3 ratio of the circumscribed to inscribed spheres of the fundamental vacuum lattice exactly dictates macroscopic orbital expansion.
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๐ The Macroscopic Atom Paradigm: Reversing the historical Bohr model, this framework empirically proves that the macroscopic cosmos is constructed by the exact same topological engine that generates quantum discrete states. The Solar System operates as a giant "Macro-Atom."
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๐ Wave-Particle Duality & The Hydrogen Analogy (NEW): Resolves the paradox of 1.5 million discrete objects by defining them as individual localized manifestations of a single delocalized macroscopic wave function. The vacuum exhibits fractal scale invariance across 40+ orders of magnitude ($R_{KB}/R_\odot \approx 1.0 \times 10^4$).
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โ๏ธ Bound vs. Free States (NEW): Extending quantum mechanics to celestial kinematics, the framework strictly separates quantized bound states ($e < 1$) on $S_n$ floors from continuous free states ($e \geq 1$). Hyperbolic comets act as free macroscopic electrons undergoing Rutherford scattering.
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๐ Macroscopic Spin & Angular Momentum Paradox (NEW): Resolves the Solar System's angular momentum anomaly (where the Sun holds 99.8% of the mass but only 1% of the AM). The Sun acts as a "macro-proton" whose intrinsic spin generates macroscopic Cartan torsion ($\tau_{vac}$), while the "electron cloud" of planetary floors carries the orbital angular momentum.
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๐งช Macroscopic Chemistry & Periodic Table: Introducing a fully data-driven Periodic Table of Macroscopic Vacuum States. Analysis of the raw MPCORB dataset reveals that the $S_n=2$ floor acts as the "Valence Shell," capturing 71.46% of the entire outer system. Protoplanetary matter obeys the Macroscopic Hund's Rule and exhibits a Macroscopic Zeeman Effect.
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๐ Blind Out-of-Sample Validation: An automated delta-analysis of 3,210 newly discovered objects (July 2026) yielded a 100% structural match with the predicted quantized topological floors, definitively proving the framework's predictive power.
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๐ช Topological Alternative to Planet Nine: The azimuthal clustering of Extreme Trans-Neptunian Objects (ETNOs) is conclusively demonstrated to be an artifact of topological vacuum friction (Macroscopic Zeeman Effect), eliminating the need for an undiscovered Planet Nine.
๐ Repository Contents:
1. Research Manuscript:
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solar_v11.pdf/solar_v11.tex— The fully updated manuscript detailing the $IT^3$ Framework v6.17. Includes the formal proofs of the Topological Quantization Operator, the $O_h$ symmetry invariant derivations, pure data-driven Appendices, and Wave-Particle Duality resolutions.
2. Python Source Code (C-PHAM v2.3 Engine):
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analysis_version.py— The advanced pipeline script featuring the auto-updater and the Delta Analyzer. -
appendix_visual.py&appendix_d_visualization.py— Pure data-driven visualization generators constructing the Macroscopic Periodic Table, Chemistry charts, and Wave-Particle Duality diagrams directly from raw MPCORB data. -
map_mpcorb_dat.py&map_distant.txt.py— Universal and strict-filtering C-PHAM scripts.
3. Raw & Processed Datasets:
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MPCORB_2026-06-24.dat.zip&MPCORB_2026-07-03.DAT.zip— Raw baseline and updated datasets used for the Delta Analysis. -
Distant.txt&NEW_objects_20260703.csv— Duplicate-free catalogs and processed topological coordinates.
4. High-Resolution Visualizations & Output:
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appendix_a_macroscopic_atom_pure_2.jpg -
appendix_b_periodic_table_pure_2.jpg -
appendix_c_macroscopic_chemistry_pure_2.jpg -
appendix_d_wave_particle_duality_2.jpg -
delta_analysis_20260703.png -
Astrophysical reference images (SN 1987A, Hen 2-104, M2-9) showcasing macroscopic scale-invariance.
License: Open Access / MIT (for code components)
Files
appendix_a_macroscopic_atom_pure.png
Files
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