What question did this study set out to answer?

This work aims to redefine spin as a local resonance within tetrahedral lattices, rather than just a quantum number.

June 3, 2026Open Access

Spin Dynamics in the Tetrahedral Lattice

Key Points

This work aims to redefine spin as a local resonance within tetrahedral lattices, rather than just a quantum number.
Introduced Python code for simulating spin dynamics.
Developed 3D visualizations of spin precession in a tetrahedral lattice.
Examined the relationship between spin orientation, phase, and frequency.
Spin precession is synchronized with a base frequency of 57 Hz and its harmonics.
Spin orientation corresponds to the 8 vertices of a stellated tetrahedron.
Eversion correlates with spin inversion indicating a periodic behavior.

Abstract

This work (Publication №24 of Resonance Group) opens the new cycle „Mechanics of the Universe‘s Energies“. Each publication of the cycle implants one law into the simulation, assembling reality layer by layer, organ by organ — from spin to cosmos. Here, Organ 1 – Spin Dynamics in the Tetrahedral Lattice – is presented. It is shown that spin is not an „internal quantum number“ but a local resonance of the standing layer: S=ℏ2sin⁡(ϕ)S=2ℏsin(ϕ), where ϕϕ is the phase of the standing layer. Spin precession is synchronized with the base frequency 57 Hz and its harmonics. Spin orientation is quantized by the 8 vertices of the stellated tetrahedron. Eversion (256 ≡ 0) corresponds to spin inversion (180° flip). The paper includes working Python code, 3D visualisation of spin precession, and a spoiler for the next publication (№25 – Rotational Modes of Platonic Solids).

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