GPS Time Dilation from the Ghidan Throughput Framework

This paper presents a compact derivation of the GPS clock correction within the Ghidan throughput framework using only directly specified observables. Starting from the measured Earth surface acceleration, Earth radius, GPS orbital radius, and the speed of light, the framework reconstructs a demand parameter κ, a radial load function L(r), and a local throughput factor χ(r) governed by the Capacity–Conservation Law, χ² + L = 1. The gravitational timing shift follows from the ratio of radial throughput factors between GPS altitude and Earth surface. The kinematic timing shift is treated within the same formal structure by using the previously established Ghidan motion-sector equivalence to the special-relativistic factor, yielding χ_kin = √(1 − v²/c²). The total GPS clock-rate correction is then obtained as the product of the gravitational and kinematic throughput factors. The resulting prediction, +38.4602 μs/day, is in close agreement with the known operational GPS correction of about +38.4 μs/day, without explicit use of G, GM, or metric-tensor formalism. The result is presented as an operational reconstruction of a known timing effect within a unified throughput-conservation framework.