Addendum IX to the Berg Theory

Addendum IX is the Berg programme’s consistency and constraint map. Extending the core article The Berg Theory: A scalar–tensor energy web as a common foundation of space–time, gravitation, quantum phenomena, and entropy (Core collection DOI: 10.5281/zenodo.17937466; core record DOI: 10.5281/zenodo.17937467), it treats the canonical Berg field equation as the single sign-anchored dynamical source and organizes all external interfaces as either recovered limits of the audited action or explicit completion modules with declared falsification criteria. Its central result is an audit-ready cross-probe closure framework: one shared prefactor channel is carried through local gravity, drift, cosmology, and gravitational-wave propagation, culminating in the Berg consistency criterion — an overdetermined five-gate closure that must hold simultaneously across growth, lensing, slip, standard sirens, and local normalization if the minimal sector is correct. Beyond the classical gate ladder, the addendum sharpens the programme’s wider closure claim by stating explicit quantum falsification routes, a declared spacetime-emergence ladder, and a controlled low-energy effective-field-theory module. In this form, Addendum IX serves as the framework’s first fully articulated rejection logic: a consistency document designed not to protect the model, but to expose it to linked, fastest-to-fail tests under one undeformed calibration and no private rescue.