α‑Triad and the Multiverse: A Unified Theory of Physics Based on a Three‑Dimensional Invariant

Title:α‑Triad and the Multiverse: A Unified Theory of Physics Based on a Three‑Dimensional Invariant Abstract: This work presents an interactive conceptual model of a unified theory of physics based on the α‑Triad — a three‑dimensional invariant (α1,α2,α3)(α1,α2,α3) satisfying the normalisation condition α12+α22+α32=1α12+α22+α32=1. The Triad unifies the three fundamental layers of reality: quantum action (the fine‑structure constant α≈1/137α≈1/137), electromagnetism, and gravitation. Special attention is given to the open multiverse. It is shown that the normalisation of the α‑Triad has infinitely many solutions, and each solution corresponds to a separate universe with unique physical parameters: the cosmological constant ΛΛ, the mass of the α‑boson, the expansion rate, and the possibility of supporting complex structures. The multiverse emerges not as a speculative construct, but as a mathematical inevitability. The work contains 16 thematic blocks, including: Essence of the Triad — the fundamental invariant of reality. Unification of Forces — gravity, electromagnetism, and quantum action as projections of the α‑tensor. Quantum and Cosmos — the link between the micro‑ and macro‑worlds through a unified numerical code. Mathematical Apparatus — complete derivation of equations and projection operators. Predictions — the exact value α−1≈137.036α−1≈137.036, discrete mass spectrum, large‑scale structure of the Universe. Rotation of the Universe — as a consequence of the α‑Triad balance. Cosmology — dark energy, dark matter, and expansion as projections of α‑components. Information and Noise — the role of entropy and quantum decoherence. Quantum Gravity — the bridge between GR and quantum mechanics via α‑invariants. Multiverse — an infinite set of worlds generated by normalisation. Self‑Restoration — self‑consistency of the system. Chronology of Cycles — the pulsation of regression and progression. Planetary Network — the geometric organisation of cosmic objects. Golden Node — the connection between φφ and αα. Auto‑Balance — self‑regulation of the system. Singularity and α‑Triad — the beginning and end of cycles. The interactive model allows users to generate random α‑triads, visualise the parameters of neighbouring universes, and explore the space of all possible worlds. The work includes a full mathematical derivation, Python simulations, and practical predictions for experimental verification.