Vacuum Folding Dynamics: Gravitation as Informational Underpressure

This preprint introduces Vacuum Folding Dynamics (VFD), a scalar-tensor framework in which gravitation emerges from spatial variations in a real-valued folding density field σf (x), interpreted as the local density of vacuum degrees of freedom. Regions of enhanced folding carry greater informational content; the resulting entropy gradient generates an effective gravitational force, realising gravitation as informational underpressure. The framework is cast as a Jordan-frame scalar-tensor action with a generalised kinetic coupling, yielding an effective Brans–Dicke parameter ωBD > 40, 000 and all post-Newtonian deviations from general relativity unmeasurably small at astrophysical scales. We derive field equations from the variational principle, establish consistency through the contracted Bianchi identity, propose a UV-complete self-interaction potential with a Planck-density barrier, and identify the scalar mass m_σ as the primary free parameter accessible to pulsar-timing and gravitational-wave observations. A holographic derivation combining Coleman–Weinberg one-loop corrections with holographic entropy yields a concrete prediction m_σ ≈ 10 μHz in the LISA band. The explicit PPN reduction demonstrates Cassini compatibility, and a numerical parameter-space analysis demonstrates that VFD lies 12 orders of magnitude below the strongest current experimental bound across the entire scalar mass range. We introduce the concept of agraviton domains — finite regions with σf ≈ 0 in which folding-induced gravity is absent — and show that parametric resonance at the scalar eigenfrequency can exponentially amplify vacuum perturbations seeded by Casimir geometries, suggesting a concrete experimental programme for the detection and possible engineering of local gravitational modification.