Demonstrates tensor gravity formation through vacuum entanglement in a theoretical framework, suggesting new insights into gravitational interactions.
The Vacuum Folding Dynamics (VFD) framework models gravity through a scalar field σ_f representing the vacuum micro-state density. Paper A established a Le Sage overpressure mechanism in which isotropic vacuum flux, partially attenuated by matter, reproduces Newton's constant through a self-consistency condition. That derivation assumes the full-gravity interpretation but does not derive the spin-2 (tensor) sector that carries ~99.9999999% of the gravitational interaction. This paper closes that gap. We show that the VFD entanglement entropy s_hol = k_B c_0 (σ_f/σ_0)2/3 / l_P^2 (Paper VII) provides the area-scaling input required by the Jacobson (1995) thermodynamic construction. Applying the Clausius relation δQ = T_U dS to local Rindler horizons, combined with the Raychaudhuri equation as a geometric bridge, yields the full Einstein equation Gμν + Λ gμν = (8π G_N / c^4) Tμν — including the complete tensor structure — with an effective gravitational constant G_eff = G_N / (4 c_0). Consistency between the Le Sage route (Paper A, constraining the scalar mass m_σ) and the Jacobson route (constraining the boundary-mode fraction c_0) requires c_0 = 1/4, yielding G_eff = G_N exactly. In the Le Sage overpressure picture, the scalar field satisfies δσ_f/σ_0 < 10⁻²⁶⁰ everywhere, so G_eff = G_N universally — not only in the weak-field limit. The Susskind-Uglum (SU) mechanism is extended to VFD's Brans-Dicke action at the equilibrium point Φ_0 = 1, providing independent UV support for c_0 = 1/4 at Level 3. The scalar-only interpretation — in which the Le Sage mechanism generates only α^2 G_N — destroys the constant product α · λ_C = 3.59 μm, leaves the tensor sector unexplained, and eliminates VFD's main experimental signature. An exponent error in Paper A §8.1 is corrected. Eight open problems are catalogued. The paper rests on two assumptions beyond established physics: (1) the VFD micro-state Hilbert space (Paper VII), and (2) the Clausius relation on local Rindler horizons (Jacobson 1995).
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Daniel Leonforte (2026) studied this question.
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