Conceptual analysis demonstrates dimensional correspondences between a helical harmonic oscillator and cosmic expansion timescales, suggesting an exploratory framework for cosmological analogies.
This work presents an exploratory conceptual analogy inspired by elementary mechanics, geometry, and cosmology. Rather than proposing a new cosmological theory, the manuscript investigates a simple thought experiment: what if cosmic expansion is viewed through the familiar picture of a balanced helical harmonic oscillator? The framework explores characteristic timescales, harmonic-frequency scales, the hypothetical parameter K_Obaid, and their numerical comparison with established cosmological quantities. The correspondence is presented as a conceptual and dimensional observation, not as evidence that the Universe physically behaves as a harmonic oscillator. The manuscript is a continuation of the author's first DOI-archived conceptual note and is intended to document the development of the analogy in a clearer and more organized form. All assumptions and numerical results are explicitly presented as exploratory and hypothetical, with no claim of a new physical law or replacement of established cosmology.
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Mouna Zazi (2026) studied this question.
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