1 Essay on the “Delta-Integrator ” Model of Gravity

Abstract: This essay presents the so called “delta-integrator ” model of gravity which is a conceptual rethinking of gravity phenomena – stages of birth and life of the gravity field. This essay summarizes author’s previously presented information on this model. The model does not offer a comprehensive set of tools for use in theoretical and applied physics. The model offers philosophy, framework and terms for discussions about gravity’s nature, and also offers several hypotheses. The author has a hope that the required set of tools, formulas and constants can be further created by the interested parties considering specifics of their corresponding fields of expertise. In order to get a grasp of the “delta-integrator ” model of gravity, one has to imagine the process of deceleration (or acceleration, which is equivalent) of a free electron in electromagnetic field. For example (for simplicity’s sake a one-dimensional case or movement across a line is considered), at point x1 the electron has energy e1, and when crossing the point x2 it has energy e2. The model assumes that this change of energy is not abrupt, but is smooth, S-curve like. Thus the kinetic energy differential on the segment x1..x2 can be described by Cauchy distribution function (with the maximum at x0=(x1+x2)/2) multiplied by delta ΔE=e1-e2. This function is remarkable due to its resemblance of the classical law of gravity while it lacks the singularity at point x0. What is also interesting is its Fourier-spectrum: its form replicates the electromagnetic spectrum of plasma near zero frequency [1]. σ depends on the segment of interest. fed(x)