Quantum Gravity and String Theory

   

Emergent Gravitation and Quantum Wave Dynamics from a Bounded Vacuum

Authors: Tanuj Kumar, Vandana [Doe]

We present a framework in which gravitation, inertia, and wave dynamics emerge from the response of a vacuum endowed with finite potential capacity. The theory is formulated in terms of a scalar vacuum-potential field whose absolute normalization is fixed by relativistic considerations, such that the equilibrium value at infinity equals c^2. Static relaxation of localized vacuum-potential deficits reproduces Newtonian gravity in the coarse-grained limit, while time-dependent redistribution generates propagating disturbances governed by a universal wave equation. Finite vacuum capacity implies intrinsic upper bounds on transmissible force and signal speed, yielding F_max=c^4/G and v≤c without invoking spacetime geometry or independent kinematic postulates. Vacuum microstructure further leads to a universal lattice dispersion relation with Planck-suppressed corrections,Δv/c≃-1/8 (E/E_P )^2,consistent with current astrophysical and gravitational-wave constraints. Gravitational redshift, lensing, horizons, and quantum correlations arise as energetic consequences of bounded vacuum response. The vacuum is modelled as a Dynamical Planck Network (DPN), providing a conservative and internally consistent bridge between relativistic gravitation and quantum wave phenomena.

Comments: 25 Pages. Minor revision

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Submission history

[v1] 2026-02-19 19:58:35
[v2] 2026-03-04 21:44:38

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