Theoretical analysis demonstrates mathematical scale invariance across quantum, planetary, and cosmological scales, suggesting unified dynamics governed by fundamental constants.
This document synthesizes a complete series of theoretical physics calculations and numerical modeling steps demonstrating scale invariance across microscopic (quantum atomic physics), macroscopic (planetary kinematics), and cosmological (galactic dynamics) systems. By employing fundamental metrics—primarily the fine-structure constant (α−1≈137.035), the speed of light (c≈299,792 km/s), Earth's orbital and rotational parameters, and gravitational acceleration (g≈9.81 m/s2)—this study establishes an interconnected invariant mathematical framework.
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Danijus Kazlauskas (2026) studied this question.
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