Abstract
This theory presents a unified cosmological and gravitational framework based on a seven-dimensional universe, where spacetime is modeled as a four-dimensional elastic grid underpinned by hidden three-dimensional Planck volumes carrying Planck charge. The accelerated expansion of the universe is caused by the electrostatic repulsion between these Planck charges, eliminating the need for a cosmological constant or gravitating dark energy. Matter expands with space, preserving the proper length and volume, whereas photons redshift naturally when propagating between regions of differing stretches. This mechanism produces intrinsic cosmological and gravitational time dilation, linking the redshift, potential energy, and time dilation to a single cause. The model predicts a “Big Repulsion” rather than a Big Bang, with a finite cosmic age of 34.2 billion years. The variable local values of G, h, ε0, and k are compensated by changes in the rest mass, maintaining local Lorentz invariance and implying a nonidentifiable absolute inertial frame. A Lorentz-covariant field theory of gravitation is formulated based on Newtonian gravity, producing Maxwell-like GEM and Poisson equations that reproduce results typically attributed to general relativity, while avoiding interior singularities by terminating spacetime at the black hole event horizon. The framework also derives a MONDian regime that emerges only around black holes, providing a proposed mechanism for galaxy and cluster dynamics without particle dark matter. Furthermore, this framework provides an analytic distance-redshift relation free of adjustable parameters, dependent solely on the MOND-derived Hubble constant H0 = 77.7 (km/s)/Mpc, consistent with the distance moduli of Type Ia supernovae and BAO distances.