Two-Energy Theory (TDE) v15.0: Octant Geometric Unification of Resonant EFT, Cosmology, and Gravity (ToE Final Report)

This deposition releases Two-Energy Theory (TDE) v15.0 as a reproducible research package: a main preprint (formalism) plus supplementary verification modules (engineering tests and anomaly/cosmology cross-checks). TDE is formulated as a resonant effective field theory in which “stable” matter arises from coherent resonant nodes, while a shadow channel corresponds to incomplete or screened resonance. The framework links particle-scale effects and cosmology through a single geometric control parameter (“the barrier”) and its local response (screening/gates). What is new in v15.0v15.0 incorporates the Octant Hypothesis: the formerly empirical barrier value is replaced by a geometry-fixed quantity derived from a 4D anchor and the eight octants of 3D space. In practical terms, this removes the last “arbitrary number” from the barrier sector and turns it into a projection of geometry. The same barrier controls (i) the branching between stable and shadow channels, (ii) the neutrino mass scale estimate, and (iii) the exponential hierarchy observed in microscopic “leakage” factors used for anomaly mapping. Files in this record• Main manuscript (PDF) + LaTeX sources.• Supplementary packages (ZIP): galaxy rotation curve pipeline (SPARC), Solar-System weak-field constraints (PPN-lite / Solar Gate checks), cosmology cross-checks (public posteriors), and anomaly-mapping operator notes.Each supplement contains a short README describing inputs, assumptions, and reproduction steps. Reproducibility and falsifiabilityThis work is released as a falsifiable program. Readers are encouraged to reproduce the calculations, audit assumptions, and test the framework against independent datasets. Preface: The Origin of TDEThis theory has an unconventional origin. It began in April 2025 as the solitary quest of an independent thinker without formal training in physics or mathematics. Driven by a singular intuition—that nature must be fundamentally simple—and supported by logic plus an AI assistant for formal derivations and computation, the project evolved over nine months.Over 15 iterations (v1 to v15), the work moved from basic concepts to covariant field formalism and tensor-level gravity closure, consistently discarding complexity whenever a simpler geometric explanation was available.On January 19, 2026, the development converged on the Octant Hypothesis: the barrier parameter is interpreted as a projection of 4D geometry onto the eight sectors of observed 3D space. This document is the final report of that expedition. Authorship and AI assistanceConcept, assumptions, and research direction: Michał Surowiecki.AI assistance: formalization support (LaTeX), algebraic manipulation, computational pipelines, and editorial help.