Abstract
This paper elucidates the concept of dark energy and the acceleration of the universe through the quantization of space in hidden dimensions, which provides the foundation for gravitational force. Space-time is conceptualized as a four-dimensional elastic grid within a seven-dimensional universe, wherein matter expands concurrently with the universe. Each cube of the grid is considered a quantum of hidden three-dimensional space of Planck volume containing Planck charge, rendering the universe seven-dimensional. The phenomenon of dark energy is attributed to the electrostatic repulsion between Planck charges in each quantum of the hidden space, and the corresponding energy density is correlated with the Hubble parameter H(z), which accounts for the accelerated expansion of the universe and the increase in the relative cosmological potential energy/rest mass of matter. The expansion of space-time is posited to result not from the creation of new space but from the stretching of existing space-time, analogous to an elastic ruler where proper length and volume remain constant. The relative values of the Planck constant, gravitational constant, permittivity of free space, and Boltzmann constant are demonstrated to vary due to the expansion or contraction of space in cosmological and gravitational frameworks, but are compensated for by the proportional change in the relative rest mass. This theory also establishes a framework for the relativistic Newtonian theory of gravity, the respective MONDian (Modified Newtonian dynamics) gravity, identifies a rationale for the transition of Newtonian gravity to MOND at a0, and elucidates the dynamics of galaxy clusters without invoking dark matter.