From Chaos to Common Ancestry

Paper 2 addresses the illegitimate use of a single global Lorentz boost to relate cosmological sources and observers atop an FLRW background, which violates the strictly local character of Lorentz invariance in general relativity. It formulates a hierarchical Lorentz framework in which boosts are composed along the nested comoving-frame hierarchy (common ancestry) of SCT, replacing the global-boost shortcut with a chain of local transformations between successive pockets. This supplies the kinematic consistency required for high-precision cosmological inference in the SCT manifold and underpins later papers treatment of redshift, distance, and inter-frame relations.