The Factorial Torsion Model   ( FTM )

Factorial Torsion Model (FTM)
Author: Dimitar Sevastiyanov Ivanov
Contact: sevastiyanov.m.theory@gmail.com

Interactive 3D visualization: https://vppreactor.github.io/FACTORIAL-TORSION-MODEL/

Description:

This record serves as a cumulative research archive for the Factorial Torsion Model (FTM). It contains the complete suite of working files, iterative iterations, and documentation related to the model.

The FTM is a purely geometric framework that explains physical forces, particle masses, and cosmological phenomena not as separate fields or substances, but as projections (shadows) of higher-dimensional spatial torsion. The model is built on the geometric conflict between the factorial growth of combinatorial complexity ($n!$) and the linear limitation of the coordinate skeleton ($2n$), which generates torsion: Tn=n!/VnTn=n!/Vn.

The files in this archive are organized by their functional role within the research program:

1. Core Theoretical Framework & Axiomatics
Documents establishing the primary geometric foundation. They define the three geometric pillars (Dynamic Triangle, Static Coordinate X, Spherical Limit), the elimination of the Cartesian square as a fundamental building block, and the derivation of the projection constant (19,958,400).

2. Foundational Derivations & Constants
Documents detailing the derivation of fundamental physical constants without free parameters, including the fine-structure constant (α−1α−1), the Weinberg angle (sin⁡2θWsin2θW), the strong coupling constant (αsαs), and the muon-electron mass ratio (mμ/memμ/me). This section also includes the micro-structural extension defining particle mass, spin, and charge as topological projections.

3. Cosmology, Astrophysics & Data Analysis
Documents presenting the application of the model to large-scale structures. This includes the geometric interpretation of black holes as dimensional phase transitions, the mechanism for generating high-energy astrophysical phenomena (TeV, PeV, EeV), and the comprehensive methodology and results of classifying over 458,000 galaxies (HECATE, SDSS, TNG100), magnetars, and pulsars.

4. Cross-Disciplinary Applications
Documents extending the geometric principles to other fields. This includes applications in biology (DNA structure, morphogenesis), computer science, neuroscience (consciousness, brain waves), and philosophy, as well as systematic answers to major open questions in science.

5. Research Roadmaps, Verification & Formalization
Documents outlining the empirical and mathematical path forward. This includes a roadmap for the mathematical formalization of the model (addressing the challenges of non-Cartesian geometry), proposed experimental frameworks, and a comprehensive list of 100 specific methods for empirical verification and potential refutation.

6. Metadata & Interactive Elements
Includes the master index document with cryptographic hashes for integrity verification, and an interactive 3D simulation visualizing the hypersphere evolution from 1D to 12D.

Methodological Note & Corrections:

This archive is a living document that reflects the iterative nature of the research. Early iterations of the model contained factual inaccuracies and conceptual errors, some of which were introduced during the use of AI-assisted drafting tools. These errors have been identified, documented, and corrected in the subsequent files.

Rather than hiding these corrections, this archive preserves the evolution of the idea — including the mistakes — to provide a transparent record of the research process. The current files represent the most accurate version of the model to date.

The model strictly avoids ad-hoc parameters (such as dark matter or inflation). It is presented as a geometric framework in development, with explicit limitations and open questions. The author invites independent peer review and mathematical formalization.

Contact: sevastiyanov.m.theory@gmail.com

Interactive 3D visualization: https://vppreactor.github.io/FACTORIAL-TORSION-MODEL/