Vacuum Folding Dynamics: Precision Observables and Experimental Windows

The Vacuum Folding Dynamics (VFD) framework predicts a scalar field σf with bare mass m₀ ~ 10⁻³ eV and dilaton coupling β₁ ~ O (1–10) to matter. In the chameleon-screened regime, the effective coupling in dense environments is reduced by the thin-shell factor, rendering VFD compatible with all existing fifth-force searches. This paper presents a systematic confrontation of VFD predictions with the full suite of precision low-energy experiments: (i) sub-millimetre gravity (Eöt-Wash torsion balance), (ii) lunar laser ranging (LLR), (iii) the MICROSCOPE satellite test of the weak equivalence principle, (iv) atomic clock comparisons constraining time variation of the fine-structure constant α, (v) the Oklo natural reactor bound, (vi) quasar absorption-line spectroscopy, and (vii) the Nordtvedt effect constraining the strong equivalence principle. In every case the VFD prediction falls below the experimental bound by large margins, ranging from ~5×10³ (Eöt-Wash torsion balance at r ~ r_σ = 1/m₀ ≈ 0. 2 mm) to effective infinity (MICROSCOPE, LLR, and Nordtvedt, where exponential Yukawa suppression renders the signal identically zero). The screening mechanism is essential: without it, β₁ ~ 10 would violate the Eöt-Wash bound by more than three orders of magnitude (αbare ~ 200 vs. αEW < 0. 1).