Addendum V to the Berg Theorie

Addendum V extends the Berg Theory (core article DOI: 10.5281/zenodo.18141845) by operationalizing gravitation as spatial shortening: the observed “attraction” is interpreted as a geometric effect in which physical spatial separations (as read out by rods, interferometry, and ranging) decrease toward localized, bound energy-web structure (“knots”) due to the web’s stress and organized transport. The concept is introduced in a weak-field setting and linked to the standard two-potential phenomenology used in gravitational tests, separating (i) the time potential that governs clock/acceleration bookkeeping and (ii) the spatial potential that governs distance bookkeeping; in the convention used here, shortening corresponds to the spatial potential becoming more negative toward the gravitating body. The addendum also introduces an optional, covariant coherent-current (rotation/flux) EFT module that parameterizes additional geometric response sourced by organized spatial internal flux, beyond what is captured by bound energy density alone. This enables concrete, falsifiable targets such as slip-type constraints, lensing–dynamics consistency checks, and controlled null tests comparing matched mass configurations that differ only in internal organization (e.g., rotation/coherence proxies), with explicit experimental hygiene requirements to suppress non-gravitational systematics. Version 2 strengthens the manuscript into an audit-ready form by adding a sign-locked anchor equation and a fixed conventions block (signature, d’Alembertian, curvature conventions, and symbol separation), an action-checked scalar–tensor kernel in Jordan frame, and a clean Newton-limit identification of the measured gravitational strength through the curvature coefficient evaluated on the environmental background (including an explicit viability condition and the ordering assumptions under which the extraction is valid). It further tightens interpretational clarity via a standard PPN mapping and a worked micro-example for the weak-field sign convention, clarifies how possible long-range scalar regimes are treated (via controlled Yukawa/coupling factors rather than ambiguity in the extraction rule), and makes the falsification map more explicit (time drift bounds, slip limits, environment-dependence constraints, and coherent-current null tests), while clearly separating the action-checked core dynamics from the programme-level “role-form” module map used only for cross-addendum orientation.