International Journal For Multidisciplinary Research

E-ISSN: 2582-2160   •   Impact Factor: 9.24

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Hamiltonian Origin of the T³ Quantum Gravity Phase in Dynamic Vacuum Field Theory

Author(s) Mr. Satish B. Thorwe
Country India
Abstract Recent atom interferometry experiments employing Stern-Gerlach splitting and long-baseline coherence have demonstrated a cubic time dependence (T^3) of the accumulated gravitational phase, a result that is not naturally explained within standard Newtonian or metric-based formulations of gravity. In this work, we provide a first-principles derivation of the observed T^3 phase using Dynamic Vacuum Field Theory (DVFT), in which gravity emerges from the dynamics of a real physical vacuum modeled as a complex scalar field Φ=ρe^iθ.
We formulate DVFT in a fully Hamiltonian framework, derive the canonical equations governing vacuum amplitude and phase, and show that matter couples minimally to the vacuum phase rather than to a spacetime metric. The gravitational field is identified with the spatial gradient of the vacuum phase, and the interferometric phase shift arises as a canonical action integral over the phase history along each interferometer branch. The cubic time dependence follows uniquely from the Hamiltonian evolution of the phase field combined with controlled branch separation in the interferometer protocol.
This formulation demonstrates that the Folman T^3 result is not anomalous but a natural and unavoidable prediction of vacuum-based gravity, providing a direct experimental probe of vacuum phase dynamics beyond geometric gravity.
Keywords Quantum Gravity, interferometry, gravity, Hamiltonian Mechanics
Field Physics
Published In Volume 8, Issue 1, January-February 2026
Published On 2026-02-10
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E-ISSN 2582-2160
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