The Universal Geometric Constant Φ_F = √2 − 1 — Complete Master Document with Integrated Figures (v1.0)

This package presents Ferreyra Dimensional Mechanics (FDM), a complete theoretical framework proposing that gravitational phenomena conventionally attributed to dark matter and dark energy arise from scale-dependent effective spatial dimensionality governed by a universal geometric constant Φ_F = √2 − 1 ≈ 0.414213562. CORE HYPOTHESIS:Space-time exhibits a universal topological phase transition: D_eff ≈ 2.414 near mass concentrations, transitioning to D_eff = 2.0 at cosmological scales. This single modification naturally explains flat galaxy rotation curves, the Hubble tension, JWST early galaxies, cluster collision offsets, and cosmic acceleration—without invoking dark matter particles or dark energy. KEY PREDICTIONS:- Galaxy rotation curves predicted with ZERO adjustable parameters (only universal Φ_F + scale r_s)- Hubble constant evolution H_0(z) resolves 5σ CMB-SNe tension through dimensional corrections- JWST massive galaxies at z > 10 naturally accommodated via enhanced early collapse efficiency- Bullet Cluster offset explained by dimensional viscosity (finite vacuum relaxation time τ_vac)- Late-time acceleration emerges from geometric transition, not cosmological constant FALSIFICATION:Framework includes 6 independent falsification criteria. Failure in any test falsifies FDM. PACKAGE CONTENTS:- FDM_COMPLETE_MASTER_FINAL.docx: 75-85 page master document with 15 integrated professional figures (300 DPI)- 15 individual figures (PNG, publication quality)- Complete figure catalog with detailed captions- DECLARATION.txt: Formal authorship and intellectual property statement- LICENSE.txt: Creative Commons BY-NC-SA 4.0 with scientific attribution requirements- CITATION.cff: Standard citation format for academic use- README.md: Complete documentation, quick start guide, and technical notes- MANIFEST.txt: SHA-256 checksums for all files (cryptographic verification)- VERSION.txt: Version history and compatibility information- KEYWORDS.txt: Indexing terms for academic databases IMPORTANT NOTICES:- All observational comparisons use ΛCDM-optimized pipelines; definitive testing requires FDM-native infrastructure (development ongoing)- Conservative scientific language throughout ("predicts" not "proves"; "if confirmed" not "demonstrates")- Fractal properties emerge as consequence in relaxed configurations, not as fundamental assumption- Framework is testable and falsifiable through multiple independent observational campaigns RELATED WORK:This v1.0 Complete Master Document builds upon and extends the Stage-1 Foundational Package (DOI: 10.5281/zenodo.18527544). VERIFICATION:All files include SHA-256 checksums in MANIFEST.txt for cryptographic integrity verification. IF CONFIRMED: This framework would eliminate the need for 95% of universe content (dark sector in ΛCDM), reducing unknown content to precisely zero through geometric structure alone—a paradigm shift comparable to General Relativity. STATUS: Ready for expert review, peer evaluation, and observational testing. Collaboration inquiries welcome.