This theory reveals mechanical interpretations of fundamental constants, indicating implications for electromagnetic coupling and proton dimensions.
This paper is Part I of the Action-Only Theory (AOT) trilogy, offering a mechanical interpretation of modern physics by treating the vacuum as a dilatant fluid with measurable impedance properties (μ₀, ε₀). We reveal structural relationships behind fundamental constants while preserving all experimental results. Three main achievements: (1) Relativity as fluid mechanics—the Lorentz factor is mathematically identical to the Prandtl-Glauert compressibility factor, with c as the vacuum jamming transition. (2) Fine-structure constant identity—the relation α = Z₀/(2R_K) is shown to be an exact impedance-matching condition, demystifying electromagnetic coupling. (3) Proton radius prediction—topological analysis (Borromean rings) yields R = 4ℏ/(Mc) with zero free parameters, predicting R_p = 0.8412 fm (0.02% experimental agreement) and R_π/R_p = π/4 (0.3% agreement). Parts II and III address operational foundations and cosmological implications, completing a unified mechanical framework.
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Ayaki et al. (2026) studied this question.