Can information density drive spacetime dilation?

Jacobson's 1995 derivation of General Relativity from thermodynamic entropy bounds is peer-reviewed and widely accepted — the Einstein field equations genuinely emerge from the Bekenstein entropy bound applied to local causal horizons. The Bekenstein bound itself is rigorously proven within quantum field theory. KAM stability theory is established mathematics: the golden ratio is provably the most resonance-resistant frequency ratio. The Alcubierre metric is a valid GR solution. Bobrick & Martire's 2024 subluminal warp drive satisfying all energy conditions is published in Classical and Quantum Gravity.

We propose that approaching the Bekenstein bound in a bounded volume produces measurable spacetime dilation in a static inertial frame. This is physically motivated by Jacobson's derivation but has never been tested experimentally. The modified Lorentz factor γ̃ = 1/√(1 − I²/B²) is a provisional equation of state, not a derived result. Whether the Jacobson thermodynamic equivalence operates in the regime we describe — a bench-scale electromagnetic system rather than a gravitational horizon — is the open question this program is designed to answer.

A critical finding from our computational work: I/B = c·Δt/(2πR) — energy cancels entirely. Approaching the Bekenstein bound depends only on perturbation timescale relative to the light-crossing time of the bounding volume. This means the critical frequency for our REBCO toroid is ~133 MHz, an ordinary radio frequency. The fact that no anomalous forces have been observed at RF frequencies implies that the quantum coherence condition described in our paper — the transition from independent quantum systems to a single coherent quantum system spanning the apparatus — is the real physical threshold. Finding that threshold is the primary experimental unknown.

The research program spans five tracks. Track 1 (BEC analog gravity, $235K–$385K, 18 months) is the fastest path to a result: measure phonon anisotropy when a Bose-Einstein condensate is driven toward its effective Bekenstein bound. A positive result is publishable in Nature Physics regardless of propulsion implications. Track 2 (superconducting Bekenstein device, $780K–$1.4M, 36 months) is the direct bench-scale warp drive experiment with two parallel architectures. Track 3 engages Applied Physics and their Warp Factory toolkit. Track 4 monitors the IVO OTP-2 orbital propellantless thrust experiment. Track 5 pursues long-range ER=EPR entanglement theory.

If no anomalous force is detected after a comprehensive frequency sweep spanning all physically accessible resonance conditions in both Track 2 architectures, the information-geometry coupling hypothesis is falsified at bench scale. If the BEC experiment shows no phonon anisotropy at any accessible density, the analog gravity prediction is constrained. Both outcomes are scientifically valuable and publishable. The Jacobson thermodynamic equivalence may only operate at the horizon-formation level — requiring actual event horizon formation rather than mere approach to the Bekenstein bound. We design every experiment to produce a definitive answer either way.

If the basic coupling exists, the power question is more tractable than classical warp drive proposals suggest. The I/B ratio doesn't depend on total energy — it depends on perturbation timescale and confinement radius. The apparatus runs on laboratory-scale power supplies (tens of kilowatts), not stellar-mass energy. REBCO magnets at 20+ Tesla are being built now by Commonwealth Fusion Systems. The cryogenic, power supply, and control systems exist commercially. The right question for the next three years is not "how do we power a warp drive" but "does the basic coupling exist?" Tracks 1 and 2 are designed to answer exactly that, for under $2M, within 36 months.