Addendum V to the Berg Theorie

Addendum V develops the gravitation module of the Berg Theory by treating gravity as the sourced geometrical response of one connected energy web. Its primary operational interpretation is spatial shortening: physical distances are read through the spatial sector of the same metric that also governs clock comparison, free fall, tidal response, light propagation, time delay, and lensing. Gravity is therefore not introduced as an additional force law, but as a set of correlated observables derived from one underlying geometry. Version 6 substantially strengthens the theoretical foundation of this picture. It connects the common field action to a unified source description, a dynamic nonzero vacuum floor, branch-dependent field response, and the resulting metric geometry. Energy, stress, retained organisation, radiation, transport, and apparatus loading are treated within one bookkeeping framework rather than as independently adjustable gravitational sources. A central advance is the explicit treatment of the vacuum floor as a dynamical constrained state rather than as a mechanically static background. Different response regimes are distinguished according to whether the local field configuration remains on the floor, approaches it, or evolves above it. This allows the gravitational response to be derived without identifying the floor itself with an absence of dynamics or with an artificial material substrate. The weak-field programme is correspondingly reorganised around a source-to-geometry chain. Realistic source configurations are connected to field response, metric reconstruction, and operational observables while maintaining consistency between spatial, temporal, free-fall, tidal, and optical measurements. The standard Newtonian and relativistic limits are recovered as required consistency conditions of the framework rather than treated as competing alternatives. Version 6 also separates recovery tests from genuinely theory-specific extension tests. It develops matched experimental and mathematical discrimination strategies in which relative responses can be tested without introducing freely adjustable rescue parameters. At the same time, the analysis identifies cases in which the underlying constrained dynamics does not determine a unique continuation. Such non-uniqueness is treated as a scientific result in its own right: additional phenomenological rules may not simply be inserted and reinterpreted as fundamental dynamics. The addendum further strengthens the treatment of local regularity, positivity, conservation, source consistency, admissible branches, strong-field continuation requirements, and falsification logic. Environmental or organisational effects are not assumed to produce a universal modification of gravity; any such effect must arise from a demonstrable change in the physical state and must survive matched controls and predeclared qualification criteria. The accompanying appendices and public supplemental material provide the mathematical derivations, branch analysis, numerical and analytical checks, experimental qualification logic, failure conditions, reproducibility material, and notation needed to audit the construction. Distinct status categories are used throughout to separate recovered limits, positive theoretical extensions, bounded cases, unresolved qualifications, open problems, and genuine failure conditions. Version 6 therefore moves Addendum V from a primarily interpretive weak-field gravity model toward a more complete source-to-geometry and geometry-to-observable framework. It preserves general-relativistic recovery in the appropriate regime, sharpens the operational meaning of spatial shortening, and establishes a controlled set of mathematical and experimental routes by which the proposed gravitational framework can be further tested, constrained, or falsified.