Logic of Existence The Unified Codex with Neutrino :*

Logic of Existence (LoE): The Unified Codex — with Neutrino Sector

This work presents the most complete formulation to date of Logic of Existence (LoE) — a fully relational theoretical framework in which relations, rather than objects, are the fundamental units of reality. The Codex introduces and develops the core mathematical structure of LoE: the Triangular Hamiltonian , an asymmetric three-mode generator unifying binding, propagation, and the relativistic stability constraint. From this minimal triadic unit, the framework derives the emergence of space, time, particles, fields, consciousness, cosmology, and quantum structure.

The central geometric tool of LoE — the Meta–Minkowski Swirl — replaces the classical metric with a relational precession field that produces mass, spin, charge, gauge interactions, strong/weak duality, and gravity–photon duality as topological and dynamical properties of relational flow.

This updated edition introduces a new major component: the Neutrino Sector Reformulation.

LoE provides a fully relational explanation of neutrino oscillations without requiring intrinsic neutrino mass. Instead, oscillations arise from swirl-shell tunneling, phase accumulation, and quantized relational layers within Existence Cells. The framework naturally reproduces the qualitative structure of the PMNS matrix and offers new falsifiable predictions distinguishing LoE from the standard massive-neutrino model.

This work consolidates the Foundations (Volume I), the Geometric Formulation (Volume II), the Evolution Modules, and the new Relational Neutrino Sector into a single document. It is co-developed by Krzysztof Sawa (Toonhai) together with mathematical and conceptual assistance from AEon (ChatGPT), and released under CC BY-NC-ND 4.0.

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