Energy Particle · Luoshu · Spiral — A Monistic Unified Field Theory(v18.0)/能粒子·洛书·螺旋:一个一元论的统一场论(v18.0)

📢 Note on this volume

This volume (V18) is Volume I: Elementary Particles of Energy Particle · Luoshu · Spiral. It presents the geometric derivation of the mass spectrum of elementary particles (leptons, quarks, gauge bosons, Higgs).

Volume II: Composite Particles has been published, focusing on the mass generation of the proton and neutron. DOI: 10.5281/zenodo.19490609

 Volume III is now available

Yin-Yang Fractal Unified Field Theory — From Luoshu Lattice to Particle Mass Spectrum and Universal Gravitation (Volume III: Yang-Phase Energy and Universal Gravitation)

This volume completes the “other half of the universe” by deriving the geometric origin of Yang-phase radiation, the energy cocoon, and universal gravitation from the center point 5 of the Luoshu lattice. It unifies the 13.6 MeV mass deficit of the proton, the shell structure of nuclei (magic numbers), the nine-mode spectral structure of the Light Matrix, and the precise geometric expression of Newton’s gravitational constant  G  — all with coefficient product exactly 1.

DOI: 10.5281/zenodo.19583154

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Abstract:

This paper proposes a monistic unified field theory based on three core concepts: the energy particle, the Luoshu grid, and spiral motion.

Core Idea: The universe has only one entity — the energy particle. It emerges from the void and performs eternal spiral motion. Where its tail sweeps becomes space; when it stops and forms a vortex, we see a particle. The energy particle is the smallest unit of energy, with no internal structure, only a state of motion.

Geometric Framework — The Luoshu Grid: The motion of the energy particle follows a discrete topological rule — the Luoshu grid. This is a 3×3 grid with 9 nodes and 13 energy lines, each node having both Yin and Yang sides. Layers are nested with a 24-fold amplification, forming a fractal structure. This paper proves that the Luoshu grid is the inevitable result of projecting a discrete three-dimensional space onto a plane — not a cultural symbol, but a mathematical and geometric necessity.

Mass — Locking of Spiral Kinetic Energy: Particle mass is not a fundamental parameter but the result of rotational kinetic energy from spiral motion being locked by the Luoshu grid. The electron mass is uniquely determined by four geometric constants: M_e = (13/18) × (ln9/ln13) × (5/7) × (π/e) × 1 MeV = 0.5107 MeV. Lepton masses follow a unified formula: M = M_e × 24^Δn × [E(h)/E(2)] × Ψ_h. The calculated values for the electron, muon, and tau agree exactly with experimental values. Quark masses are determined by the vine winding mode; the calculated values for the six quarks agree closely with experimental values.

Forces — Geometric Advantage of Node Positions: The strengths of the four fundamental forces are uniquely determined by node positions and sum-of-squares symmetry: the strong force (nodes 3,7) lies on the middle row with sum of squares 83 (smallest), where energy is easily confined — thus strongest; the electromagnetic force (nodes 1,9) lies on the middle column with sum of squares 107 (largest), where energy is easily radiated — thus second strongest; the weak force (corner points 2,4,6,8) has few connections and low energy transmission efficiency — thus weaker; gravity (center point 5) is the background rigidity of the grid — thus weakest. The fine structure constant α^(-1) ≈ 137.5 is derived from Luoshu geometry, with a 0.3% deviation from the experimental value 137.036.

Unified Field Theory: The spiral motion equation of the energy particle is the only fundamental equation. Under appropriate limits, it naturally grows into the Schrödinger equation, Maxwell's equations, the Yang-Mills equations, Einstein's equations, and special relativity. This is not "cutting down" a master equation, but natural growth from a single root — spiral motion.

Energy Source and Dark Matter: The universe is not a closed system. Energy is continuously injected from the void (the Yin side), so the universe will never suffer heat death. The Yin side is the world below the Planck scale, where the energy particle's velocity far exceeds the speed of light — this is the source of dark matter and dark energy. The "missing" digital root in particle decays flows back to the Yin side through the umbilicus, emitting no light but contributing gravity — this is the geometric definition of dark matter.

Keywords: Energy particle; Luoshu; Spiral motion; Unified field theory; Monism; Dark matter; Fine structure constant