November 10, 2025Open Access

Golden Ratio Geometry in Rotating Spacetime: A Unified Framework for Quantum Spin, Fractal Scaling, and Cosmological Structure

Key Points

Wave-particle duality arises from the interaction of geometric structures in rotating spacetime, demonstrating the Golden Ratio's presence.
The geometric invariant framework predicts phenomena such as CMB anisotropy and galaxy spin asymmetry through fractal scaling laws.
This theoretical model connects diverse physical structures across scales, emphasizing their dependence on universal rotational dynamics.
Insights into biological scaling laws illustrate the broader relevance of these geometric principles in natural systems.

Abstract

This work proposes a geometric framework linking the golden ratio (φ), universal rotation, and physical structures across scales. Under frame-dragging in rotating spacetime, stable trajectories form helical paths that follow φ-proportional geometry. We show that: (1) Spin-1/2 and 720° rotation emerge from golden-angle phase sampling; (2) Wave–particle duality arises as a projection effect of 3D helices onto a 2D boundary; (3) Biological scaling (3/4 law) is derived from φ-based fractal dimensional equilibrium; (4) Cosmological rotation parameter a ≈ 1/φ² ≈ 0.382 predicts CMB anisotropy and galaxy spin asymmetry. This establishes the golden ratio as a universal geometric invariant governing stability under rotational dynamics.

Golden Ratio Geometry in Rotating Spacetime: A Unified Framework for Quantum Spin, Fractal Scaling, and Cosmological Structure

Key Points

Abstract

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