We develop a quantum-vacuum model in which gravitational attraction emergesfrom the spectral filtering of zero-point electromagnetic modes by material bound-aries. Each body acts as a frequency-selective barrier characterized by a material-dependent cutoff frequency, and only the common band of suppressed modes con-tributes to the interaction. The Casimir effect is reformulated as a finite-barrierfiltering problem, and this framework is generalized to arbitrary bodies by identify-ing the force with the imbalance between interior and exterior zero-point pressuresover their common projected area. In the short-distance, material-limited regimethe force saturates, avoiding the divergence of the ideal Casimir formula. In themacroscopic, distance-limited regime the geometric cutoff 𝜔𝑑 ∼ 𝜋𝑐/𝑑 becomesdominant, yielding a filtered energy density scaling as 1/𝑑4. Combined with thescaling of the common projected area, 𝐴eff (𝑑) = 𝐾𝐴𝐵 𝑑2, this produces an inverse-square force law and recovers Newtonian gravity with 𝐺 emerging as a derivedparameter. The model predicts orientation-dependent corrections for anisotropicbodies, statistical cutoff behavior arising from material microstructure, and charac-teristic signatures in mixed-material configurations. These results provide a unifiedphysical mechanism linking Casimir forces and Newtonian gravity as two regimesof zero-point spectral filtering
GUILLERMO J. ESTRELLA SANTOS (Tue,) studied this question.
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