The Golden Torus: Scale-Invariant Containment Geometry in Harald Wave Field

The Golden Torus extends Harald Wave Field Theory (HWFT) by proposing the toroidal geometry—scaled by the golden ratio (φ ≈ 1.618)—as the universal containment form for coherent wave interactions. This paper establishes the torus as a scale-invariant structure, maintaining coherence across magnitudes from quantum particles to galaxies. The framework introduces ±1000 scaling as the mechanism for structural invariance, linking micro- and macro-systems through a unified geometry. As a foundational work, Golden Torus focuses on conceptual and geometric principles rather than empirical evidence. It provides the structural basis upon which later HWFT papers (Golden Gravity, Golden Wave) will demonstrate testable evidence, including planetary oblateness fits, harmonic scaling logic, and astrophysical coherence signatures. Together, these works form the Golden Framework, a unified approach to understanding multidimensional resonance, containment, and creation.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-25
DOI
https://doi.org/10.5281/zenodo.16943486
Citations
6
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
14.89
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article

The Golden Torus: Scale-Invariant Containment Geometry in Harald Wave Field

6 citations
Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
14.89
article

The Golden Torus: Scale-Invariant Containment Geometry in Harald Wave Field

article en
6 citations

Abstract

The Golden Torus extends Harald Wave Field Theory (HWFT) by proposing the toroidal geometry—scaled by the golden ratio (φ ≈ 1.618)—as the universal containment form for coherent wave interactions. This paper establishes the torus as a scale-invariant structure, maintaining coherence across magnitudes from quantum particles to galaxies. The framework introduces ±1000 scaling as the mechanism for structural invariance, linking micro- and macro-systems through a unified geometry. As a foundational work, Golden Torus focuses on conceptual and geometric principles rather than empirical evidence. It provides the structural basis upon which later HWFT papers (Golden Gravity, Golden Wave) will demonstrate testable evidence, including planetary oblateness fits, harmonic scaling logic, and astrophysical coherence signatures. Together, these works form the Golden Framework, a unified approach to understanding multidimensional resonance, containment, and creation.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 1%
Geochemistry and Geologic Mapping
14.89
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