STLT Field Equations, the Nature of Gravity, and the Galactic Rotation-Curve Calculation

This paper reconstructs the empirical and mathematical route through which the dark matter force is formulated in Space-Time Ladder Theory (STLT). Rather than treating its Lorentz-like expression as an analogy imported from electrodynamics, the paper traces its proposed empirical prehistory from pendulum deflection in a rotating frame and the Foucault pendulum, through the Coriolis parameter and geostrophic balance in meteorology, to a proposed mid-latitude civilizational-stability hypothesis, galactic rotation curves, and the perihelion precession of Mercury. The central claim is that the Coriolis force appears as the equilibrium or zeroth-order limit of the STLT dark matter force when the qi-induction strength matches the relevant rotational frequency; departures from this condition define residual terms that may, in principle, be tested as departures from standard rotational kinematics. At galactic scales, the paper distinguishes radial dynamical constraint from transverse qi-field coupling and treats the observed rotation curve as a component-balance problem. It also compares an earlier 2018 constant-parameter treatment with a 2026 formulation in which the qi-field strength varies with galactic radius. The revised model is reported to follow the declining outer Milky Way rotation curve in the Gaia DR3 comparison, while reserving predictions at 30–40 kpc for future observational tests. The appendices extend the discussion by presenting STLT's proposed double-channel polarization-tensor structure and a four-channel interaction picture in which matter–matter repulsion and matter–dark-energy cross-attraction may combine to produce an effective macroscopic attraction. The Newtonian limit is imposed as an equilibrium condition, while observable content is assigned to deviations away from equilibrium, including rotating-platform residuals, galactic outer-curve behavior, and possible background-field corrections to Mercury's perihelion. The paper therefore presents a structured theoretical proposal and a set of falsifiable interfaces, not a completed derivation of all field parameters or a demonstrated replacement for established gravity models. Important open tasks include deriving the galactic qi-field amplitude and radial profile from an independent field equation, improving the baryonic and three-dimensional galactic model, measuring prograde–retrograde differences, and conducting fair quantitative comparisons with dark-matter halo and modified-gravity models.